Math Terms

ATAS Math Terms & Concepts

Sum

Result of an addition problem

Multiple Choice

What is the sum of 22 and 9?

• 198

• 13

• 31

• 432

Difference

Result of a subtraction problem

Multiple Choice

What is the difference between 1,050 and 502?

• 548

• 1,552

• 54,600

• 550

Product

Result of a multiplication problem

Multiple Choice

What is the product of 152 and 42?

• 194

• 205

• 6,384

• 6,284

Quotient

Result of a division problem. If a number does not divide evenly then there is a remainder left over.

Multiple Choice

What is the quotient of 27 and 9?

• 3

• 18

• 36

• 243

Multiple Choice

What is the remainder when 253 is divided by 7?

• 1

• 3

• 5

• 7

Rounding is the best way to estimate a number's value

Multiple Choice

The length of room is 12.2 feet and the width is 9.8. Using estimating, what is the minimum amount of carpeting that will completely cover the floor?

• 130 ft²

• 120 ft²

• 125 ft²

• 140 ft²

Moving left in a number increases its place value

Moving left from the decimal point the place value of the digits is as follows: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions...

Multiple Choice

Which answer below correctly rounds 745,234,189 to the nearest thousand?

• 745,000,000

• 745,234,200

• 745,234,000

• 700,000,000

Moving right in a number decreases its place value.

Moving right from the decimal point the place value of the digit is as follows: tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths

The number 54,278.931 can be separated into place value like this:

• 5: ten thousands

• 4: thousands

• 2: hundreds

• 7: tens

• 8: ones

• 9: tenths

• 3: hundredths 1: thousandths

Multiple Choice

Which digit represents the thousandth place in 8,534,725.0321

• 2

• 4

• 8

• 7

The following roots are helpful to understand the metric system:

• Deci=10th

• Centi=100th

• Milli=1000th

• Deca=10

• Hecto=100

• Kilo=1000

• Therefore 1 kilometer = 1000 meters = 100,000 centimeters

Multiple Choice

How many meters are in 1 kilometer?

• 1

• 100

• 1000

• 10,000

Multiple Choice

How many centimeters are in 5 meters?

• 10

• 50

• 100

• 500

Perimeter is adding up all sides of an object, say for a rectangle, you would add up 2 widths and 2 lengths

Multiple Choice

The high school grounds are rectangular in shape with sides that are 160 yards wide by 630 yards long. Approximately how much fencing would the school need to buy in order to surround the perimeter of the grounds?

• 800 yards

• 1600 yards

• 100,800 yards

• 2000 yards

For height, you use multiplication. For example, if the height of a 7-story building if each story is 11.8 feet high, then the height of the building is about 84 feet.

For area, you use A =s²

In a fraction the top number is called the numerator and the bottom number is the denominator

6 Numerator

8 Denominator

Multiple Choice

A square has side lengths of 11.8 cm. Estimate the area of the square.

• 144 cm²

• 121 cm²

• 100 cm²

• 169 cm²

Reciprocal

This is when the numerator and denominator switch places

3

7

becomes

7

3

When adding or subtracting fractions, the denominators must be the same

5/6 - 2/3 = 5/6 - 4/6 = 1/6

Multiple Choice

What is the sum of 1/4 and 3/8?

• 5/8

• 6/8

• 5/16

• 1/16

When multiplying fractions the numerators and denominators do not need to change

5/11 x 3/7 = 15/77

Fractions can be divided using multiplication principles

2/7 / 3/5 = 2/7 x 3/5 = 10/21

A fraction can be turned into a decimal by dividing the numerator by the denominator. This decimal can be represented as a % by moving the decimal two places to the right and adding a % sign

Example: 1/4 = .25 = 25%

Multiple Choice

The fraction 1/5 can be represented by which percentage?

• 25%

• 20%

• 40%

• 80%

Any % can be turned into a decimal by removing the % sign and moving the decimal two places to the left. Any % can be turned into a fraction by placing the value over 100.

Example: 9% = .09

9% = 9/100

Multiple Choice

What is 40% written as a fraction?

• 2/5

• 3/5

• 1/6

• 2/3

Multiple Choice

Sam's math test has 60-multiple choice questions. When Sam got his test back he missed 20% of the questions. Of the questions he missed 75% related to fractions. How many total questions did Sam miss regarding fractions?

• 6

• 9

• 12

• 48

Multiple Choice

What is the decimal 3.04 written as a percent?

• 30.4%

• 3.04%

• .0304%

• 304%

Multiple Choice

A recent poll of 20,000 residents showed that 60% of residents are in favor of building a new pavilion at the park. How many residents are not in favor of building the pavilion?

• 12,000

• 8,000

• 18,000

• 1,200

When multiplying numbers with decimals, the decimal point in the product must be moved to the left the total number of places in both of the original numbers.

Example:

.57

x.20

00

1140

.1140 or 0.114

When dividing numbers with decimals, the decimal point in the divisor should be moved to the right to create a whole number. The decimal point in the dividend must then be moved an equal number of places

Example:

8.2/9.84 = 1.2