Question

Liz is using the distributive property to evaluate the expression 27(36) by using friendlier numbers. Her work is shown below.

Liz’s Work


27(36)
Step 1

27(3 + 12)
Step 2

27(3) + 27(12)
Step 3

81 + 324
Step 4

405


What was the first error that Liz made?
Step 1 should have been 27(6 + 30).
Step 2 should have been 27(3) + 12.
Step 3 should have been 27(30)(12).
Step 4 should have been 16,244.

Answer 1

The answer, my man, is A) Step 1 should have been 27(6 + 30).

Answer 2

A)Step 1 should have been 27(6 + 30).

Explanation:

Given Liz Steps below:

27(36)

Step 1 : 27(3 + 12)

Step 2 :27(3) + 27(12)

Step 3 :81 + 324

Step 4 :405

You will notice that at Step 1, 36 was placed as 3+12 instead of 6+30

The correct workings therefore are:

27(36)

Step 1 : 27(6+30)

Step 2 :27(6) + 27(30)

Step 3 :162 + 810

Step 4 :972