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Math Quick Check. 1 Correct Answer Per Question. On question 1 Pick 2 correct answers. For question 3, pick 4 correct answers.

1. Whenever you multiply or divide two numbers that are the same signs, the product/quotient will always be... Whenever you multiply or divide two numbers that have different signs, the product/quotient will always be...
what goes in the blanks? Pick 2 answers.
a. positive
b. negative
c. zero

2. Which of the following shows the Commutative Property of Multiplication?
a. 9 × 4 = 4 × 9
b. (9 × 4) + (9 × 5) = 9 × (4 + 5)
c. 9 × 1 = 9
d. (9 × 4) × 5 = 9 × (4 × 5)

3. Determine the sign of each product
1. -16 x 42
2. -5.5 x (-10)
3. 305 x 200
4. 13 x (−12)
what goes in these 4 slots? Choices may be used more than once.
a. Positive
b. Negative

4. Multiply: -28 x (-19). Remember your rules for determining the sign!
put the answer below

5. Multiply 9.6 by 0.2. Write your answer as a decimal.

6. Multiply: 45 × −9
a. −7 15
b. -8
c. −4 45
d. 7

7. Divide: −120 ÷ 24
a. 5
b. -5
c.-15
d. -15

8. There are 7 8
cups of sugar in a canister in the kitchen. Ms. Johnson used 1 2
of the sugar when she baked a birthday cake. How much sugar did she use? Show/explain all steps needed to get to the correct answer!

1 answer

Sure! Let's go through each question step by step.

  1. Whenever you multiply or divide two numbers that are the same signs, the product/quotient will always be a. positive. Whenever you multiply or divide two numbers that have different signs, the product/quotient will always be b. negative.

    • Correct Answers: a and b

  2. The Commutative Property of Multiplication states that the order of multiplication does not change the product. Therefore, the correct answer is:

    • a. 9 × 4 = 4 × 9

  3. Determine the sign of each product:

    1. -16 x 42 – b. Negative (one negative and one positive)
    2. -5.5 x (-10) – a. Positive (both numbers are negative)
    3. 305 x 200 – a. Positive (both numbers are positive)
    4. 13 x (−12) – b. Negative (one positive and one negative)
    • Correct Answers: b, a, a, b

  4. Multiply: -28 x (-19). Both numbers are negative, so the product will be positive:

    • Answer: 532

  5. Multiply 9.6 by 0.2:

    • \( 9.6 \times 0.2 = 1.92 \)
    • Answer: 1.92

  6. Multiply: 45 × −9. Since one number is negative, the product will be negative:

    • \( 45 \times -9 = -405 \)
    • They provided options:
      • a. −7 15
      • b. -8
      • c. −4 45
      • d. 7
    • None of the options appear to represent the product accurately. The correct answer is -405.

  7. Divide: −120 ÷ 24. Since one number is negative, the result will be negative:

    • \( -120 ÷ 24 = -5 \)
    • Correct Answer: b. -5

  8. There are \( \frac{7}{8} \) cups of sugar in a canister in the kitchen. Ms. Johnson used \( \frac{1}{2} \) of the sugar when she baked a birthday cake.

    • To find out how much sugar she used, you multiply \( \frac{7}{8} \) by \( \frac{1}{2} \): \[ \frac{7}{8} \times \frac{1}{2} = \frac{7 \times 1}{8 \times 2} = \frac{7}{16} \]
    • Therefore, Ms. Johnson used \( \frac{7}{16} \) cups of sugar.

If you have any further questions or need any clarifications, feel free to ask!