Decimals and all 4 operations with rational numbers

As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change?

• 6 lb/h

• -6 lb/h

• -1 1/2 lb/h

• 1 1/2 lb/h

Chase is a contestant on a game show. His scores in each of the first four rounds are shown below. Chase’s final score is double his score after the four rounds. What is Chase’s final score?

Rashon is scuba diving. He stops 14.3 m below the surface to look at a fish. Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m. Which is the best approximation of Rashon’s current position relative to the ocean surface?

• 12 meters

• 17 meters

• -17 meters

• -23 meters

What is the rate of change in the tide level over this period of time?

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The result of which situation is best estimated by the integer -7?

• The temperature falls 1.9°F from 4.3°F.

• A hot-air balloon rises 4.1 m from the ground and then rises 2.3 m more.

• A submarine dives 3.8 ft below the surface of the ocean and then dives another 2.5 ft down.

• Laqueta owes her brother $3.85. She gives him $2.45.

Consider the numbers below. Use two of the numbers to make the greatest sum, difference, product, and quotient possible. Numbers: -5 ½, 3.75, -20.8, 8, -4, 11 ¼

Greatest sum: ______

Greatest difference: ______

Greatest product: ______

Greatest quotient: ______

• Greatest sum: 19 ¼ Greatest difference: 32.05

  Greatest product: 114.4

  Greatest quotient: 5 ⅕

• Greatest sum: 15 Greatest difference: 24.55
  Greatest product: 22
  Greatest quotient: 8

• Greatest sum: 20 .2 Greatest difference: 30.05
  Greatest product: 16.25

  Greatest quotient: 10

• Greatest sum: 18 Greatest difference: 28.5
  Greatest product: 85.3
  Greatest quotient: 9

• Positive

• Negative

• $79

• −$79

• $281

• $321

Which of the following sets of operations results in an approximate value of 6?

• Sum: 3.5 + 2.5, Difference: 8 1/2 - 2 1/2, Product: -3 x -2, Quotient: 12 ÷ 2

• Sum: -4.1 + 1.9, Difference: 9 1/2 - 3 1/2,

  Product: -2 x -3, Quotient: 18 ÷ 3

• Sum: 5.5 + 0.5, Difference: 7 1/2 - 2 1/2,

  Product: -1.5 x -4, Quotient: 24 ÷ 4

• Sum: 2.3 + -3.7, Difference: 12 1/2 - 4 1/2,

  Product: -2.5 x -1.5, Quotient: 30 ÷ 5

Simplify the question.