Problem

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.

Solution

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}}

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Source: https://solvelyapp.com/problems/8590/

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