Operations with Rational Numbers

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

• –195.1

• –2.24

• 2.24

• 195.1

In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas?

• –273.15°C

• –272.7°C

• –202.5°C

• –116.15°C

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

• –90

• –78

• –66

• –12

What is the simplified value of the expression below?

-8 * (-3)

• -24

• -11

• 11

• 24

What is the simplified value of the expression below?

-2.6 + 5.8

• -8.4

• -3.2

• 3.2

• 8.4

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes?

• $3.50

• $7.50

• $9.00

• $16.50

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

Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?

• 17 bottles

• 20 bottles

• 23 bottles

• 24 bottles

Which problem can be solved by division of decimals?

• Danette needs 8 dozen eggs for her restaurant. How many eggs should she buy?

• How much money does Dawna need to fill her 11.5 gallon gas tank if the price of gas is $3.59 a gallon?

• How many more miles does Judy’s family have to drive to reach their destination if they have driven 45.4 miles of a 123.8 mile trip?

• What is Jeremy’s average if he received a total of 323.7 points on 7 tests?

Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paycheck for taxes. If she has been paid 7 paychecks so far this year, which best represents the total effect the taxes have had on her paychecks?

• –$2,419.69

• –$1,209.85

• $1,209.85

• $2,419.69