Question

Kiera used place value and the distributive property to find the product of 12 and 597. Her work is shown below. 12(597) = 12(500 + 90 + 7) = 12(500) + (90)(7) = 6000 + 630 = 6,630 What is Kiera’s error?

Answer 1

Answer: Kirera did not multiply each added by 12.

Answer 2

(90)(7) ⇒ the error was multiplying 90 and 7.

Explanation:

12(597) = 12(500 + 90 + 7)

= 12(500) + (90)(7)

= 6000 + 630

= 6,630

The part in bold shows where the error is. It was not correct to multiply 90 and 7.

The process was to proceed as follows:

12(597) = 12(500 + 90 + 7)

= 12(500) + 12(90) + 12(7)

= 6000 + 1080 + 84

= 7,164