Rational Number Operations Quiz

What is the value of the expression −27.2 + 18?

• -9.2

• -45.2

• 9.2

• -27.20

Answer explanation

To find the value of the expression −27.2 + 18, simply add the two numbers. This results in −27.2 + 18 = −9.2. Therefore, the correct answer is -9.2.

Pablo ran a distance of 9½ miles during his first week of training for a marathon. Then, he ran a distance of 10⅜ miles during his second week of training. What was the total distance in miles that Pablo ran during both weeks?

• 19⅞

• 1⅞

• 20⅛

• 19

Answer explanation

To find the total distance Pablo ran, add 9½ miles and 10⅜ miles. Converting to improper fractions, 9½ = 19/2 and 10⅜ = 83/8. Finding a common denominator (8), we get 76/8 + 83/8 = 159/8, which simplifies to 19⅞ miles.

What is the value of the expression 0.45 – 0.95 + ⅛?

• 0.25

• -0.375

• 0

• 0.5

Answer explanation

To solve 0.45 – 0.95 + ⅛, first convert ⅛ to a decimal (0.125). Then calculate: 0.45 - 0.95 = -0.5, and -0.5 + 0.125 = -0.375. Thus, the correct answer is -0.375.

Miranda bought a pair of shoes for $22.45, a top for $18.75, a pair of pants for $24.55, a belt for $15.60, and a hat for $12.35. What was the total for her whole outfit?

• $81.35

• $93.70

• $118.25

• $71.25

Answer explanation

To find the total, add the prices: $22.45 + $18.75 + $24.55 + $15.60 + $12.35 = $93.70. Therefore, the correct answer is $93.70.

Calculate the value of the expression 27.52 + −15⅖ .

• 42.92

• -42.92

• -12.12

• 12.12

Answer explanation

To calculate 27.52 + (-15⅖), first convert -15⅖ to a decimal, which is -15.4. Then, 27.52 - 15.4 = 12.12. Thus, the correct answer is 12.12.

Find the value of the expression ¾ + ¼ – 2.25.

• -5.5

• -1.25

• 3.25

• 12

Answer explanation

To solve ¾ + ¼ – 2.25, first add ¾ and ¼ to get 1. Then subtract 2.25: 1 - 2.25 = -1.25. Thus, the correct answer is -1.25.

Zoe spent $202.75 on books at the bookstore. She spent $15.60 on a book for her best friend, $24.50 on a book for her mother, $12.70 on a book for her brother, and $32.35 on a book for her neighbor. Zoe spent the remaining amount of money on books for herself. How much of Zoe’s purchase was spent on her own books?

• $104.90

• 149.95

• $133.20

• $117.60

Answer explanation

Zoe spent a total of $202.75. Adding her gifts: $15.60 + $24.50 + $12.70 + $32.35 = $85.15. Subtracting this from her total, $202.75 - $85.15 = $117.60. Thus, she spent $117.60 on her own books.

Simplify the expression −15.2 – (−12 ¾ ).

• -2.45

• -27.95

• 2.45

• 27.95

Answer explanation

To simplify −15.2 – (−12 ¾ ), first convert −12 ¾ to a decimal: −12.75. Then, the expression becomes −15.2 + 12.75 = −2.45. Thus, the correct answer is −2.45.

Emma spent $45.30 on groceries, $22.15 on a book, and $18.50 on a gift. How much did she spend in total?

• $85.95

• $87.95

• $86.95

• $86.00

Answer explanation

To find the total amount Emma spent, add her expenses: $45.30 (groceries) + $22.15 (book) + $18.50 (gift) = $86.95. Therefore, the correct answer is $86.95.

What is the result of the expression 5⅓ - 2.75 + 1⅔?

• 6.25

• 4.25

• 3.25

• 5.25

Answer explanation

To solve 5⅓ - 2.75 + 1⅔, convert to improper fractions: 16/3 - 11/4 + 5/3. Finding a common denominator (12), we get (64/12 - 33/12 + 20/12) = 51/12 = 4.25. Thus, the correct answer is 5.25.