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

Step 2 should have been 27(3) X 27(12)=27(3x12)=27(36). Or, alternatitively, she could have used 27(30)+27(6)=27(30+6)=27(36)=972
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Answer 2

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

Explanation:

Liz is using the distributive property to evaluate the expression 27(36)

Step 1 : 27(3 + 12)

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

Step 3 : 81 + 324

Step 4 : 405

We can see that Liz made a mistake in first step.

3+12 is equal to 15 and she has multiplies 27 and 15 further to get 405 as answer.

She should have done 27(6 + 30) as 6+30 is equal to 36 and the final answer will be 27(36) = 972