Illustrative Mathematics Grade 8 Unit 7 Check Your Readiness +

^{An exponent represents repeated ________.}

• addition

• subtraction

• multiplication

• division

Answer explanation

An exponent represents repeated multiplication.

Answer explanation

The value of 5^3 is 125. This means 5 multiplied by itself 3 times, which equals 125.

• True

• False

Answer explanation

The statement is false because 3^2 is equal to 9, while 2^3 is equal to 8. Therefore, 3^2 does not equal 2^3.

Select all expressions that are equal to 761 ÷ 5.

• 7,610 ÷ 50

• 762 ÷ 6

• 76.1 ÷ 0.05

• 7.61 ÷ 0.5

• 0.761 ÷ 0.005

Answer explanation

The correct expressions that are equal to 761 ÷ 5 are 7,610 ÷ 50 and 0.761 ÷ 0.005. These choices represent the division of 761 by 5 accurately.

Which is closest to the quotient 2,967 ÷ 0.003?

• 1,000

• 10,000

• 100,000

• 1,000,000

Answer explanation

To find the closest quotient to 2,967 ÷ 0.003, we need to divide 2,967 by 0.003. This gives us 989,000, which is closest to 1,000,000.

Select BOTH expressions that are equal to 3⁴ · 3².

• 3⁶

• 3⁸

• 9³

• 9⁶

• 9⁸

Answer explanation

To find 3⁴ · 3², add the exponents: 4 + 2 = 6. Therefore, 3⁴ · 3² = 3⁶. Additionally, 3⁴ · 3² = 3⁶ = 9³, as 3⁶ = 9³.

A new phone costs $450. There is a 40% discount on the phone's price. What is the final cost of the phone after the discount?

Answer explanation

To find the final cost after a 40% discount, subtract 40% of $450 from $450. 40% of $450 is $180. $450 - $180 = $270. Therefore, the final cost of the phone after the discount is $270.

Plot and label these numbers on the same number line: 0.8, 0.65, 0.27, 0.52, 0.052

Draw points on the number line where each number should go. Then draw a line from the number to the point.

Plot and label these numbers on the same number line: (-2)^1, (-2)^2, (-2)^3, (1/3)^2, (1/3)^3

Draw points on the number line where each number should go. Then draw a line from the number to the point.

Write three fractions equivalent to 16/128. Explain or show your reasoning.

Answer explanation

To find equivalent fractions, we can simplify 16/128 by dividing both numerator and denominator by their greatest common factor, which is 16. This gives us 1/8. Therefore, three other equivalent fractions are 2/16, 4/32, and 8/64.