Operations With Rational Numbers

Olivia set aside 5/6 of an hour for homework after school each day. How many hours of homework does she do in 5 days?

• 3 1/2 hours

• 4 1/2 hours

• 4 1/6 hours

• 50 minutes

Jason has 3/4 ton of stone to spread equally in 3 square yards. How many tons of stone will be spread in each square yard?

• 1/4

• 1/2

• 1/6

• 1

What is the reciprocal of 12?

• 12/1

• 1/12

• -1/12

Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

• $8.38 per quart

• $8.49 per quart

• $8.57 per quart

• $8.92 per quart

Yuuma applied the steps below to find the product of (–10.2)(–16.4).

Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)
Step 2: = (–16.4)(–10) + (–16.4)(–0.2)
Step 3: = ____________
Step 4: = 167.28

Which expression correctly fills in the blank in Step 3?

• (–164) + (–3.28)

• 164 – 3.28

• (–164) + 3.28

• 164 + 3.28

What is the difference of –96.43 – (–98.67)?

• –195.1

• –2.24

• 2.24

• 195.1

What is the simplified value of the expression below?

-2.6 + 5.8

• -8.4

• -3.2

• 3.2

• 8.4

What is the simplified value of the expression below? 12.4 x (-6.3)

• -78.12

• -1.97

• 1.97

• 78.12

Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?

• Ivan only

• Polina only

• both Ivan and Polina

• neither Ivan or Polina

What is the quotient of 9.18 divided by –3.4?

• -2.7

• -0.27

• 0.27

• 2.7