a) By first rounding each number to 1 significant figure, find an estimate for $791 \times 153$
b) Without calculating the actual answer, decide whether your estimate is smaller than or larger than the actual answer. Write a sentence explaining how you know.

Answer

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Answer

\boxed{\text{b) The estimate is larger than the actual answer}}

Steps

Step 1 ：Round each number to 1 significant figure: $791 \approx 800$ and $153 \approx 200$

Step 2 ：Estimate the product: $800 \times 200 = 160,000$

Step 3 ：\boxed{\text{a) The estimate for } 791 \times 153 \text{ is } 160,000}

Step 4 ：Since both numbers were rounded up, the estimate is larger than the actual answer.

Step 5 ：\boxed{\text{b) The estimate is larger than the actual answer}}