Equivalent Forms
Add and Subtract Rational Numbers
Multiply and Divide Rational Numbers
Evaluate and Apply Laws of Exponents
Real World Application
100

What is the equivalent form of 13/65 and is it a repeating or terminating decimal?

0.2 terminating

100

Find the sum or difference of: -2.63 + 3 1/4?

-0.62 or -31/50

100

Multiply -2 2/3 x -4 3/7

11 17/21

100

Apply Law of Exponents to 13^4 x 6^4 and state which law was applied.

78^4

Product Rule

100

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

20 divided by 5 = 4

200

What is the equivalent form of 11/12 and is it a repeating or terminating decimal?

0.916 with 6 repeating

200

Find the sum or difference of: -4 1/2 - (-1.07)?

-3.43 or -3 43/100

200

Multiply -3 4/9 x 5 2/5

-18 3/5

200

Apply Law of Exponents to (5^7)^8 and state which law was applied.

5^56

Powers Rule

200

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 x 5/6 = -8.75

300

What is the decimal equivalent of -17/5?  

-3.4

300

Find the sum or difference of -1/8 - 0.356?

-0.481 or -481/1000

300

Find the quotient of 8/9 divided by -1 4/15

-120/171 or -40/57

300

Apply Law of Exponents to 8^6 divided by 8^1 and state which law was applied.


8^5

Quotient Rule

300

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

400

What is the fractional equivalent of -2.45?

-2  9/20

400

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?

1.5

400

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 left?

-2.35 x 9 = - $21.15

400

Use Law of Exponents to write an equivalent expression for (2/7)^6

2^6 divided by 7^6

400

Evaluate the expression

3 times (the absolute value of -4.5 plus 5 1/2) divided by 1.6 - (-3)^2.

9.75

500

Dave bought 13 9/16 gallons of gas.  What decimal should the meter on the gas pump read?

13.5625

500

Penelope has a birdhouse that is 4 9/10 feet above the roof of her garage.  She has a second birdhouse that is 5.36 feet below the roof of her garage.  What is the distance between the two birdhouses?

10.26 ft

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 divided by -0.07 = 250 seconds

500

Apply Law of Exponents to (-5)^0 and state which law was applied.

1

Zero Exponent Rule

500

13 divided by (2.5 - the absolute value of -3 1/8) times (3)^3.

-561.6

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