ATI TEAS Math – NurseCheung.com

ATI TEAS Math: Number and Algebra – Tips to Boost Your Scores

Nurse Cheung — Sat, 07 Jan 2023 17:15:17 +0000

If you’re struggling with ATI TEAS Math: Numbers and Algebra, don’t worry – you’re not alone!

This section of the test can be tricky, but with a little bit of practice, you can boost your scores.

In this blog post, we will discuss some tips that will help you improve your performance on the ATI TEAS Math: Numbers and Algebra section. We’ll also provide a few practice problems to help get you started.

Objectives for Numbers and Algebra

Total scored items on ATI TEAS: 18 questions out of 34

Converting among non-negative fractions, decimals, and percentages

Relationship between the numerator and denominator in a fraction

Fractions can be written in the form a/b, where a and b are integers, and b is not equal to zero. Integers are the set of whole numbers and their opposites.

The bottom integer is called the denominator, and the top integer is called the numerator. The line between them represents division: a/b means “a divided by b.”

For example, in the fraction ¾, the numerator is three (it is on top), and the denominator is four (it is on the bottom).

How to Calculate a Percentage

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign: %.

For example, 35% is equivalent to the decimal 0.35, or the fraction 35/100. To calculate a percentage, multiply the decimal by 100, or divide the fraction by 100 and reduce it to the lowest terms.

Identifying Place Values within Decimals

Every digit in a number has a place value associated with it. The place value of a digit tells you what that digit is worth in relation to other digits in the number.

For example, the number 1,234 has four digits with place values of ones, tens, hundreds, and thousands.

The digit in the one’s place is worth one (4), the digit in the tens place is worth ten (3), the digit in the hundreds place is worth one hundred (2), and the digit in the thousands place is worth one thousand (1).

To find the place value of a digit, look at its position in the number. The place value of the digit will be the base (ten, one hundred, one thousand, etc.) to which that position corresponds.

The decimal part of any number can be read using place values as well. The place values of the digits to the right of the decimal are tenths, hundredths, thousandths, and so on.

For example, in the decimal 0.35, the digit in the tenths place is worth one-tenth (0.3), the digit in the hundredths place is worth one-hundredth (0.05), and the digit in the thousandths place is worth one-thousandth.

Converting Fractions to Decimals and Percentages

To convert a fraction to a decimal, divide the numerator by the denominator.

For example, to convert the fraction ¾ to a decimal, divide three by four:

¾ = 0.75 (the answer is a decimal)

To convert a fraction to a percentage, multiply the decimal by 100.

For example, to convert the decimal 0.75 to a percent, multiply by 100:

0.75 = 75% (the answer is a percent)

Converting Decimals to Fractions

To convert a decimal to a fraction, divide the decimal by the place value of the decimal part and remove the decimal from the numerator.

For example, to convert the decimal 0.75 to a fraction, divide 0.75 by 100 (the last whole number is in the hundredths place value):

0.75 = 75/100 (the answer is a fraction).

Simplify the fraction into the lowest form: 75/100 = 3/4.

Another example is to covert the decimal 0.584 to a fraction, and divide 0.584 by 1000 (the last whole number is in the thousandths place).

0.584 = 584/1000 (the answer is a fraction).

Converting Percentages to Decimals and Fractions

To convert a decimal to a percentage, multiply by 100.

For example, to convert 75% to a decimal, divide 75 by 100:

75% = 0.75 (the answer is a decimal)

To convert a percentage to a fraction, divide by 100 and remove the percent sign from the numerator.

For example, to convert 75% to a fraction, divide 75 by 100:

75% = 75/100 (the answer is a fraction).

Simplify the fraction into the lowest terms: 75/100 = ¾.

Remember, a percentage is a number or ratio expressed as a fraction of 100. So, when you see the symbol %, think “divide by 100.”

Performing arithmetic operations with rational numbers (both positive and negative numbers)

Order of Operations

The Order of Operations is a set of rules that determine the order in which operations (addition, subtraction, multiplication, division, etc.) are performed in an expression.

The Order of Operations is often abbreviated as PEMDAS:

P = Parentheses first

E = Exponents (ie Powers and Square Roots, etc.)

MD = Multiplication and Division (left-to-right)

AS = Addition and Subtraction (left-to-right)

For example, consider the expression: 32 + 22

Which operation should be performed first, the addition or the exponentiation?

The answer is that the exponentiation should be done first because it has precedence over addition. That is, the operations within parentheses are always performed first, followed by exponentiation.

Therefore, the correct answer is 36.

Multiple-Step Problems

Here is another example:

24 ÷ 12 + 17 – 11

Which operation should be performed first, the division or addition?

The answer is that the division should be performed first because it has precedence over addition and subtraction. That is, the operations within parentheses are always performed first, followed by division, multiplication, addition, and subtraction (from left to right).

Therefore, the correct answer is 8.

Operations with Parentheses

Remember, the operations within parentheses are always performed first.

For example, consider the expression: (15 – 12) + 18 ÷ (21 – 11)

Which operation should be performed first?

The answer is that the operations within parentheses are always performed first. In this case, that means subtracting 12 from 15 and 11 from 21.

Therefore, the correct answer is 3 + 18 ÷ 10.

The next step is to divide 18 by 10 leaving 3 + 1.8.

The final answer is 4.8.

Compare and order rational numbers (both positive and negative)

Defining Rational Numbers and Irrational Numbers

Rational numbers are numbers that can be expressed as a fraction (a/b). A and b are both integers and the denominator is not zero. That is, they can be written as a ratio of two integers.

For example, some rational numbers are:

– ½ (this can be written as -25/50)
¾ (this can be written as 75/100)
0.125 (this can be written as 125/1000)
− 0.75 (this can be written as -75/100)
− 15 (this can be written as -15/100

Irrational numbers are numbers that cannot be expressed as a fraction. That is, they cannot be written as a ratio of two integers.

For example, some irrational numbers are:

– π (this is approximately equal to 22/71)

– √16 (this is approximately equal to 25/41)

– e (this is approximately equal to 27/28)

Ordering Rational Numbers

Rational numbers can be ordered from least to greatest or greatest to least.

To order rational numbers from least to greatest, line them up in order from left to right. The numbers get larger as you go from left to right.

For example, the following numbers are listed in order from least to greatest:

-15, -0.75, 0, 0.125, ½, ¾

To order rational numbers from greatest to least, line them up in order from right to left. The numbers get larger as you go from right to left.

For example, the following numbers are listed in order from greatest to least:

0.125, ½, ¾, 0, -0.75, -15

When ordering negative numbers, the smaller the number, the larger it is. That is, the absolute value of a negative number is always less than the absolute value of a positive number.

Comparing Rational Numbers

Rational numbers can be compared by looking at their relative size. That is, which number is larger or smaller than the other?

For example, to compare the numbers -15 and -1. Because -15 is less than -1 the answer will be as follows.

-15 < -1

You can find the answer by using a number line and plotting the values. Therefore, the value that is farthest to the right on the number line is the greatest.

Symbols and Meanings of Comparing Rational Numbers

The following symbols are used when comparing rational numbers:

>, ≥, =, ≤, and <

The meanings of these symbols are as follows:

> (greater than)
≥ (greater than or equal to)
= (equal to)
≤ (less than or equal to)
≤ (less than)

Solving Equations with One Variable

Identify the Terms of an Algebraic Equation

An algebraic equation consists of terms such as a number, variables, or product of numbers. Terms can be separated by additional and subtraction signs.

Constant is defined as the number itself not attached to a variable
A Variable is a letter that represents an unknown quantity
A Coefficient is a number being multiplied by the variable

For example, the expression:

-15x – 18 = 30

has the following terms:

The constants are – 18 and 30
The variable is -15x
The coefficient in this equation is -15

Inverse Arithmetic Operations

The inverse of an arithmetic operation is the operation that “undoes” the original operation.

For example, the inverse of addition is subtraction and the inverse of multiplication is division.

The inverse operations of addition and subtraction are opposite of each other. The inverse operation of multiplication and division are also opposite of each other.

This is true because the operations “undo” each other.

Implement A Sequence of Steps to Solve Equations

To solve an equation, you need to find the value of the variable that makes the equation true.

This can be done by using inverse operations to isolate the variable on one side of the equation.

Once the variable is isolated, you can then use a number line or other methods to find the value of the variable.

Here is an example of solving an equation:

Original equation: x + 18 = 30

Inverse operation of addition: x + 18 – 18 = 30 – 18

Isolate the variable on one side: x = 30 – 18

x = 12

The value of x is 12.

This can be verified by substituting 12 for x in the original equation.

Solve Proportional Relationships (Equations and Inequalities) with One Variable

A proportional relationship is a relationship between two quantities in which the ratio of one quantity to another is constant, or when one fraction is equivalent to the other.

This constant is called the proportionality constant or the multiplier.

Proportional relationships can be represented in equation or inequality form.

To solve a proportion, you need to find the value of the variable that makes the proportion true.

This can be done by using inverse operations to isolate the variable on one side of the proportion.

Once the variable is isolated, you can then use a number line or other methods to find the value of the variable.

Here is an example of solving a proportion:

Original equation: 6x = 19

Inverse operation of addition: 6x ÷ 6 = 19 ÷ 6

Isolate the variable on one side: x = 19 ÷ 6

x = 19/6

The value of x is 19/6 or 3.17.

Solve Real-World Problems using One or Multiple Step Operations with Real Numbers

Problem Solving Plan Word Problems

The first step in solving a word problem is to read the problem carefully and identify the information that is given and the information that is needed.

The next step is to identify the problem type and the equation that needs to be solved.

Once the equation is identified, you can then solve the equation.

The last step is to check your work by substituting the answer back into the original problem.

Here is an example of a word problem:

A plumber charges $25 for a service call plus $50 per hour of service. Write and solve an equation to find the cost of a plumber’s service if he works for h hours.

The first step is to read the problem and identify the given information and the needed information.
The given information is that a plumber charges $25 for a service call plus $50 per hour of service. The needed information is the cost of the plumber’s service if he works for h hours.
The next step is to identify the problem type and the equation that needs to be solved.
The last step is to check your work by substituting the answer back into the original problem.

The problem type is a linear equation and the equation that needs to be solved is C = 25 + 50h.

Once the equation is identified, you can solve for h.

C = 25 + 50h

If the plumber works for h hours, the cost of his service will be $25 for the service call plus $50 per hour of service, or $25 + $50h.

For example, if the plumber works for two hours, the cost of his service will be $25 + $50(two hours) = $125.

You can check your work by substituting the value of h back into the original equation.

Solve Word Problems Using Percentages

Percentages are a way of expressing a number as a fraction of 100.

Percentage numbers increase or decrease in word problems.

To solve a word problem that involves a percentage increase or decrease, you need to identify the following information:

The original amount
The percentage increase or decrease
The new amount

Once you have this information, you can set up and solve an equation.

Here is an example of a word problem that involves a percentage decrease:

For example, if a store is offering a 20% discount on an item that originally costs $100, the new price of the item would be 80% of the original price, or $80.

Here is an example of a word problem that involves a percentage increase:

The population of a town increased by 12% from 2010 to 2011.

The population of the town in 2010 was 20,000.

What was the population of the town in 2011?

The original amount is the population of the town in 2010, which is 20,000.

The percentage increase is 12%.

The new amount is the population of the town in 2011.

To find the new amount, you need to set up and solve an equation.

The equation would be as follows:

20,000 + 12% = new amount

Once you have set up the equation, you can solve for the new amount.

20,000 + 12%(original population) = new amount

20,000 + 0.12(20,000) = new amount

20,000 + 2400 = new amount

22,400 = new amount

The population of the town in 2011 was 22,400.

Apply Estimation Strategies and Rounding Rules to Word Problems

Metric Measurements

The metric system is a system of measurement that is used in many countries around the world.

The most common units of measurement in the metric system are:

Length – meters (m)

Weight or Mass – grams (g)

Capacity or Volume – liters (L)

Degrees Celsius (C)

It’s important to note: area is measured by square units and volume is measured by cubic units.

Estimation and Rounding of Numbers

One way to increase your speed and accuracy on the ATI TEAS Math Number and Algebra section is to practice estimation and rounding of numbers.

This will help you to quickly see what the answer should be in your head, without having to do a lot of calculations.

For example, if you are asked to round the number 45.678 to the nearest whole number, you would first look at the number in the ones place, which is 5.

You will round up if the number in the tenths place is greater than or equal to five, and you will round down if the number in the tenths place is less than five.

Next, the number in the tenths place is 6, as this number is greater than 4 we can round up our whole number to 46.

You can use estimation strategies and rounding rules to quickly solve word problems.

Solving Word Problems involving Proportions

Introduction to Proportions

A proportion is a ratio in fraction form equal to another ratio in fraction form.

Writing and Solving a Proportion

The following steps will help you to set up and solve a proportion:

Read the word problem carefully and identify all of the information that is given.
Draw a picture or diagram to help you visualize the problem.
Determine what quantity you are looking for in the problem (this is the unknown quantity).
Identify two equivalent ratios in the problem.
Write a proportion using the equivalent ratios.
Cross multiply to solve the proportion.
Check your answer to make sure it makes sense in the context of the problem.

Here is an example of a word problem that can be solved using a proportion:

The ratio of dogs to cats in a shelter is 12 to 25.

If there are 100 animals in the shelter, how many of them are dogs?

In this problem, the unknown quantity is the number of dogs in the shelter.

The two equivalent ratios are 12 to 25 and x to 100.

The proportion would be set up as follows:

12/25 = x/100

To solve the proportion, you will need to cross multiply.

12(100) = 25x

1200 = 25x

48 = x

There are 48 dogs in the shelter.

Direct Proportions and Constant of Proportionality

A proportion is a direct proportion if the two equivalent ratios are in the form y = kx.

The constant of proportionality (k) is the number that represents the relationship between two variables.

Examples of direct proportional equations are y = 3x, y = 10x, y = x/6

Examples of not directly prpoortional equations are y = 5x + 10, y = x-15, y = 5

Solving Word Problems using Ratios and Rates of Change

What is a ratio?

A ratio is a comparison of two numbers by division. For example, 4:5 or 4/5.

What is Rate, Unit Rate, and Rate of Change?

A rate is a ratio that is used to compare two different units.

For example, 60 miles per hour (mph) or 60 miles: An hour.

A unit rate is a rate in which the second number in the ratio is one unit. You can find the unit rate by dividing the numerator by the denominator.

For example, 60 miles per 2 hours or 30 miles per hour.

A rate of change is the speed at which something is happening. It can also be known as the unit rate.

For example, the rate of change in population, the rate of change in temperature, or the rate of change in distance.

Using Ratio and Rate of Change to Solve Problems

When solving problems, it is often helpful to think about the relationships between different quantities in terms of ratios or rates of change.

For example, if you know that the ratio of dogs to cats in a shelter is 12 to 25, and you also know that there are 100 animals in the shelter, you can use these relationships to solve for the number of dogs in the shelter.

You can also use rates of change to solve problems.

For example, if you know that the average rate of change in population over a period of time is 0.02%, you can use this information to predict the population of a city in the future.

These problems can be easily solved with the representation of a graph to plot out your points. These points may form a slope of a line.

Solving Word Problems using Expressions, Equations and Inequalities

What are expressions, equations, and inequalities?

An expression is a mathematical phrase that can contain numbers, variables, and operators. Examples are 10-2y, x, 4(x – 16)

An equation is an expression that contains an equal sign. Examples are 10 – y = 20, x = 10, 3x – 10 = 4x +8

An inequality is an expression that contains an inequality sign (<, >, ≤, ≥).

As we have previously discussed how to solve problems with expression and equations, we will take a closer look at solving problems with inequalities.

Solving Problems with Inequalities

Inequalities are mathematical phrases that contain an inequality sign (<, >, ≤, ≥).

They can be used to represent situations where one value is greater than or less than another value.

For example, the inequality x > y can be read as “x is greater than y.”

Inequalities can be used to solve problems by representing the relationships between different quantities in a problem.

For example, x + 2 > 12.

Subtract 2 from both sides: x + 2 – 2 = 12 – 2

Solution: x > 10

There are also times when you may reverse the direction of the inequality if we are multiplying or dividing negative numbers.

For example: -2y < -8

Divide both sides of -2 to isolate for y: -2y/-2 > -8/-2

Solution: y > 4

It is important that we reverse the inequality when we multiple or divide by a negative number.

ATI TEAS Math: Measurement and Data – Tips to Boost Your Scores

Nurse Cheung — Sat, 07 Jan 2023 17:15:14 +0000

The ATI TEAS Math Measurement and Data section can be difficult, but with a little preparation, you can boost your scores.

In this blog post, we will discuss some tips that will help you improve your performance on the exam. We will cover topics such as measurement, data interpretation, and problem-solving.

Follow these tips and you will be ready to ace the ATI TEAS Math Measurement and Data section!

Objectives for Measurement and Data

Total scored items on ATI TEAS: 16 questions out of 34

Interpret Information from Charts, Tables, and Graphs

Types of Graphical displays

The ATI TEAS will use a variety of graphical displays and you must have the ability to interpret information from charts, tables, and graphs.

Some of the displays you may see include:

Cartesian coordinate graphs: These graphs will have a pair of perpendicular lines, called axes, that intersect at a point called the origin. The axes are used to locate points on the graph.
Scatter plots: A scatter plot is a graph that shows the relationship between two variables. The variables are plotted as points on the graph and the relationship between the variables is shown.
Line graphs: A line graph is a graph that shows information that changes over time.
Pie charts: A pie chart is a graph that is broken into sectors that each represent a proportion of a whole.
Bar graphs: A bar graph is a diagram in which numerical values of variables are represented by the height or length of rectangles.

How to interpret graphs and tables

When you are looking at a graph or table, it is important to be able to identify the following:

The title of the graph or table: This will give you an idea of what the data is about.
The axes: The x-axis (horizontal axis) and y-axis (vertical axis) will tell you what the variables are.
The data: The data is what is being plotted on the graph or listed in the table.
The scale: The scale is the range of values that are being used.
The units: The units are the measurements that are being used.
The trend: The trend is the overall pattern of the data.
The quadrant: The quadrant is the area of the graph that is divided by the axes.

Evaluate the information of Data Sets, Charts, Tables, and Graphs using Statistics

Mean, Median, and Mode

The mean is the average of a set of numbers. To find the mean, add all of the numbers together and then divide by the number of items in the set.

An example of finding a mean is as follows: You have a set of numbers: {12, 13, 14, 15, 16}

To find the mean, add the numbers together: 12 + 13 + 14 + 15 + 16 = 70

Then, divide by the number of items in the set: 70 / 5 = 14

The median is the middle number in a set of numbers. To find the median, arrange the numbers from least to greatest and then find the number that is in the middle of the set.

To find the median, arrange the numbers in order from least to greatest: {12, 13, 14, 15, 16}

The median is the middle number: 14

The mode is the number that occurs most often in a set of numbers. To find the mode, arrange the numbers from least to greatest and then find the number that occurs most often.

An example of finding a mode is as follows: You have a set of numbers: {12, 12, 13, 14, 15, 16}

To find the mode, arrange the numbers in order from least to greatest: {12, 12, 13, 14, 15, 16}

The mode is the number that occurs most often: 12

Understanding Range

The range is measured by finding the difference between the largest and smallest values in a data set. To find the range, subtract the smallest value from the largest value.

An example of finding the range is as follows: You have a set of numbers: {12, 13, 14, 15, 16}

To find the range, subtract the smallest value from the largest value: 16 – 12 = 4.

The range is four.

Data Ranges can also be classified by how points are plotted on a graph. Examples of this include standard deviation, symmetry, number of peaks, and skewness.

Standard deviation describes how spread out data is from the mean. A low standard deviation means that most of the data is close to the mean, while a high standard deviation means that the data is spread out from the mean.
Symmetry occurs when data is equally distributed on either side of a line or point.
The number of peaks occurs when data has multiple local maxima or minima. Data can be unimodal (one peak or bell-shaped) or bimodal (two peaks).
Skewness occurs when data is not equally distributed on either side of a line or point. Data can be right-skewed (most of the data is on the right side of the graph), left-skewed (most of the data is on the left side of the graph), and uniform (the data is equally spread out across the graph).

Interpreting trends on graphs and tables

When looking at trends on graphs and tables, it is important to be able to identify the following:

The type of trend: The types of trends include linear, exponential, and quadratic.
The direction of the trend: The direction of the trend can be positive (increasing), negative (decreasing), or no change (flat).
The rate of change: The rate of change is the amount that the trend is increasing or decreasing by.

An example of interpreting a trend is as follows: You have a graph with the following data points: (0,0), (0, -.25), (0, -.50), (0,-.75)

The type of trend is linear.

The direction of the trend is negative.

The rate of change is .25.

This means that for every increase of one unit, the trend decreases by .25 units.

There are also data points that are outliers. An outlier is a data point that is far from the other data points in the set.

An example of an outlier is as follows: You have a set of numbers: {12, 13, 14, 15, 16}

One data point is 50.

The outlier is 50.

Understanding Probability

Probability is the chance that an event will occur. Probability can be expressed as a fraction, decimal, or percentage.

P(event) = (number of desired outcomes)/(total number of outcomes)

An example of probability is as follows: The probability of rolling a six on a dice is one out of six, or .16666667. This can also be written as a decimal, which would be .1667.

The Relationships between Two Variables

Dependent and Independent Variables

The dependent variable is the outcome of an experiment or the value that is being measured. This variable is “dependent” on that of another.

The independent variable is the one that does not depend on that of another.

This can also be classified as the cause (independent variable) and effect (dependent variable).

For example, in an experiment to see how different amounts of light affect plant growth, the dependent variable would be the height of the plant, while the independent variable would be the amount of light.

Correlation

Correlation or covariance is a statistical measure that describes the relationship between two variables.

There are three types of correlations: positive, negative, and no correlation.

A positive correlation means that as one variable increases, the other variable also increases.
A negative correlation means that as one variable increases, the other variable decreases.
No correlation means that there is no relationship between the two variables.

An example of a positive correlation is as follows: As the temperature outside increases, so do the ice cream sales.

An example of a negative correlation is as follows: As the price of gas increases, the number of miles driven per week decreases.

An example of no correlation is as follows: The number of hours of sleep per night has no correlation with the grade on a test.

Comparing and Contrasting Direct and Inverse Relationships

A direct relationship or direct variation is a straight line relationship in which the dependent variable increases as the independent variable increases. For example, y=mx.

An inverse relationship is a curved line relationship in which the dependent variable decreases as the independent variable increases. For example, y=m/x.

Calculate Geometric Quantities

Perimeter and Circumference

The perimeter is the distance around a two-dimensional shape. The formula for perimeter is P=s+s+s… (where s stands for the length of each side).

To find the perimeter of a complex shape, add all the lengths of each side together.

The circumference is the distance around a circle. The formula for circumference is C=πd (where d stands for the diameter of the circle).

Area

The area is the amount of two-dimensional space that a shape covers. The formula for area varies depending on the shape.

To find the area of a rectangle, use the formula A=lw (where l stands for length and w stands for width).
To find the area of a triangle, use the formula A=½bh (where b stands for base and h stands for height).
To find the area of a circle, use the formula A=πr² (where r stands for radius).
To find the area of a parallelogram, use the formula A=hb (where h stands for height and b stands for base)
To find the area of a trapezoid, use the formula A=½h(b1 + b2) where h stands for height, b1 stands for the smallest base, and b2 stands for the largest base.

Volume

The volume is the amount of three-dimensional space that a shape takes up. The formula for volume varies depending on the shape.

To find the volume of a rectangular prism, use the formula V=lwh (where l stands for length, w stands for width, and h stands for height).
To find the volume of a triangular prism, use the formula V=bhl/2 (where b stands for the base, h stands for the height, and l stands for length)
To find the volume of a cylinder, use the formula V=πr²h (where r stands for radius and h stands for height).
To find the volume of a rectangular pyramid, use the formula V=⅓lwh (where l stands for length, w stands for width, and h stands for height).
To find the volume of a cone, use the formula V=⅓πr²h (where r stands for radius and h stands for height).

Convert between Standard and Metric Systems

Standard System

In the United States, the standard system is used to measure length, capacity, and weight.

The most common units of length are inches, feet, yards, and miles.

The most common units of capacity are teaspoons, tablespoons, cups, pints, quarts, and gallons.

The most common units of weight are ounces and pounds.

How to use dimensional analysis to convert units

Determine what you are converting. In this case, we are converting length from inches to feet.
Determine the relationship between the units. In this case, there are 12 inches in one foot.
Set up the equation. In this case, it would be 12 inches = x feet.
Solve the unknown unit. In this case, x = 12/12 feet or x = one foot.

This same process can be used to convert between any units in the standard system.

Metric System

In many other countries, the metric system is used to measure length, capacity, and weight.

The most common units of length are millimeters, centimeters, meters, and kilometers.

The most common units of capacity are milliliters and liters.

The most common units of weight are grams and kilograms.

The metric system is based on the powers of ten. This means that each unit is ten times larger or smaller than the one before or after it.

For example, one meter is ten times larger than one decimeter and one hundred times larger than one centimeter.

This means that to convert from a larger unit to a smaller unit, you will need to move the decimal point to the left.

For example, to convert from centimeters to meters, you would move the decimal point two places to the left (100 cm = .01 m).

To convert from a smaller unit to a larger unit, you will need to move the decimal point to the right.

For example, to convert from millimeters to centimeters, you would move the decimal point one place to the right (.001 m = 1000 mm).

Converting between standard and metric systems

When converting between the standard and metric systems, it is important to know the equivalents between the units.

For example, 1 gallon is equal to 3.8 liters.

Common conversions you may see on the ATI TEAS include

1 kilogram (kg) = 2.2 pounds (lbs)
1 inch (in) = 2.54 centimeters (cm)
1 meter (m) = 3.28 feet (ft)
1 ounce (oz) = 28.5 grams (g)
1 mile (mi) = 1.6 kilometers (km)