Unit 3 Review: Multiply and Divide Rational Numbers

Match each word with its definition.

• Round

• The act of taking something away

• Withdrawal

• A group of numbers, variables, and/or operation symbols that represent a mathematical relationship.

• Expression

• To approximate the value of a number by finding the nearest ten, hundred, or other place value

• Deposit

• A mathematical statement that uses an equal sign (=) to show that two expressions have the same value

• Equation

• To put something into a place for safe keeping. A bank deposit is money put into a bank account

Match each word with its definition.

• Quotient

• A number that names equal parts of a whole. Names a point on the number line and can also represent the division of two numbers

• Divisor

• The number that is divided by another number

• Product

• The result of division

• Fraction

• The number by which another number is divided

• Dividend

• The result of multiplication

Match each word with its definition.

• Repeating Decimals

• Decimals that end, or end in repeated zeros

• Rational Number

• A number that can be expressed as the fraction a/b where a and b are integers and b does not equal 0.

• Terminating Decimals

• Numbers that are the same distance from 0 on the number line but in opposite directions. These numbers have the same numeral, but opposite signs. Also called the additive inverse of that number.

• Opposite Numbers

• Decimals that repeat the same digit or sequence of digits forever. It can be written with a bar over the repeating digits.

Match each word with its definition.

• Reciprocal

• Multiplying each term in a sum or difference by a common factor does not change the value of the expression. For any numbers a, b, and c. a(b + c) = ab + ac

• Mean

• The sum of a set of values divided by the number of values. This is often called the average

• Distributive Property

• For any nonzero number a, this value would be 1/a. For any fraction a/b would be b/a. Also called the multiplicative inverse of that number.

What is (-5/6) / (-1/3)?

• - 5/18

• - 5/2

• 5/2

• 5/18

The grocery store sells cheddar cheese at the deli counter. The weight of the cheddar cheese changes by -8 lb. in 5 days. What rational number represents the average change in pounds of the cheddar cheese each day?

• -1.6

• -0.625

• 0.625

• 1.6

Which expressions have a value less than 1? Choose ALL the correct answers.

• -7 * 1/2 - 4

• -7 *(1/2) *(- 4)

• -7 * (1/2 - 4)

• -7 + 1/2 * (- 4)

• -7 / (-1/2) + 4

A small apple weighs 5/16 lb. A digital scale shows the weight in decimal form. What weight, in pounds, does the scale show?

Gualberto has a barrel that collects rainwater. As the rainwater evaporates, the height of the rainwater changes from 24.83 in. to 18.08 in. over a period of 5 2/5 days. What is the average change in the height of the rainwater each day? Show your work. (Hint 1: Average = Total Change / Number of values or days) (Hint 2: Think about what kind of change is happening)

Carla says that (-5)(-7) = -35, but she is incorrect. What is one change you can make to Carla’s equation to make it correct? Explain your reasoning.

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B