when x=5
. His steps are as follows:
Step 1: 45−14
Step 2: 20−14
Step 3: 6
In which step did Hank make a mistake? What should he have done differently?
(1 point)
Responses
Step 2, Hank should've added 4 and 5 to get 9.
Step 2, Hank should've added 4 and 5 to get 9.
Step 3, 20−14
should be 20÷14
.
Step 3, 20 minus 14 should be 20 divided by 14.
Step 1, Hank should've multiplied 4⋅5
instead of writing 5 as the exponent.
Step 1, Hank should've multiplied 4 times 5 instead of writing 5 as the exponent.
Step 2, Hank should've calculated the value of 45
to be 1,024.
Step 2, Hank should've calculated the value of 4 to the 5th power to be 1,024.
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1 answer
Hank made a mistake in Step 1. He should have multiplied 4 and 5 instead of incorrectly writing 5 as an exponent.
The correct calculation should have been:
Step 1: \( 4 \cdot 5 - 14 \)
This simplifies to:
Step 1: \( 20 - 14 \)
Step 2: \( 6 \)
So the mistake is in Step 1; he should have multiplied \( 4 \cdot 5 \) instead of writing \( 45 \) to mean \( 4^5 \). The correct answer is:
Step 1, Hank should've multiplied 4⋅5 instead of writing 5 as the exponent.
