Vocabulary
Add and Subtract Rational Numbers
Multiply Rational Numbers
Divide Rational Numbers
Solve Problems with Rational Numbers
100

complex fraction, absolute value,  positive,  negative, or multiplicative inverse

The distance between any two rational numbers on a number line is the ___________ of their difference.


absolute value

100

 −2.63 + 3 1/4 

0.62

100

 −9.6 ∙ 1.8 = 

-17.28

100

 −3.6 ÷ 2 1/7 

-1 17/25

100

 3 1/2 ∙ (|4.5 − 8| − 3.2) ÷ 2^2 

0.2625

200

complex fraction, absolute value,  positive,  negative, or multiplicative inverse

If the signs of the factors are the same, the product is ______________.

positive

200

 −4 1/2 − (−1.07) 

-3.43

200


 −2 2/3 ∙ (−4 3/7) 

11 17/21

200

 −4.6 ÷ (−2 1/2) 

1.84

200

Evaluate the expression

 3 ∙ (|−4.5|+ 5 1/2) ÷ 1.6 − (−3)^2 .

9.75

300

complex fraction, absolute value,  positive,  negative, or multiplicative inverse

If the signs of the factors are different, the quotient is ______________.

negative

300


 0.74 + (−3/5) 

0.14

300

 −3 4/9 ∙ 5 2/5 

-18 3/5

300

 6 9/20 ÷ 1.5 

4.3

300

 In 5 rounds of a game, Jill scored −3, 8, 9, −7, and 13. What integer represents her average score for the 5 rounds?

(-3) + 8 + 9 + (-7) + 13 = 20

20 ÷ 5 = 4

400

complex fraction, absolute value,  positive,  negative, or multiplicative inverse

A _______________is a fraction a/b  where a and/or b are fractions and b is not equal to 0.

complex fraction

400

-1/8 − 0.356

-0.481

400


 6 2/3 ∙ (−4 1/5) 

-28

400

 (1/2)/(−11/12) 

-6/11

400

Peter signed up for a program that costs $10.50 per month to stream movies to his computer. He decided to cancel his service after  5/6  month. He only has to pay for the amount of time he used the service. What number represents the total change in the amount of money Peter has after paying for the service?

-10.50 * 5/6 = -$8.75

500

complex fraction, absolute value,  positive,  negative, or multiplicative inverse

 Two numbers whose product is one are ________.

multiplicative inverse

500

Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is  3 2/10  feet tall from the bottom of the root to the top branch. How much of the bush is above the ground?

-1.7 + 3.2 = 1.5 feet

500

Jason spends $2.35 to buy lunch at school. If he buys a lunch on 9 days, what number represents the total change in the amount of money Jason has?

-$2.35 x 9 = -$21.15

500

A boat drops an anchor 17.5 feet to the bottom of a lake. If the anchor falls at a rate of 0.07 feet each second, how long will it take the anchor to reach the bottom of the lake?

-17.5 ÷ (-0.07) = 250 seconds

500

Maggie spent $4.05 on cheese and fruit at the farmer’s market. She bought  1/8  pound of apples,  1/4  pound of pears, and 1.25 pounds of bananas. If fruit cost $0.80 per pound, how much did Maggie spend on cheese?

$2.75

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