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By rounding to 1 significant figure, estimate the answers to these questions:
a) [tex]25 \times 27[/tex]
b) [tex]82 \times 235[/tex]
c) [tex]576 \times 153[/tex]

Round each number to 1 significant figure.
Multiply the rounded numbers to estimate the answer.
a) 25 × 27 ≈ 30 × 30 = 900
b) 82 × 235 ≈ 80 × 200 = 16000
c) 576 × 153 ≈ 600 × 200 = 120000
The estimated answers are 900 , 16000 , 120000 ​ .

Explanation

Problem Analysis We are asked to estimate the answers to the given multiplication problems by rounding each number to 1 significant figure.

Rounding Numbers First, we need to round each number to 1 significant figure.

Estimating a) a) For 25 × 27 , we round 25 to 30 and 27 to 30. Then, we multiply the rounded values: 30 × 30 = 900 .

Estimating b) b) For 82 × 235 , we round 82 to 80 and 235 to 200. Then, we multiply the rounded values: 80 × 200 = 16000 .

Estimating c) c) For 576 × 153 , we round 576 to 600 and 153 to 200. Then, we multiply the rounded values: 600 × 200 = 120000 .

Final Answer Therefore, the estimated answers are: a) 900 b) 16000 c) 120000


Examples
Estimating calculations by rounding to one significant figure is useful in everyday situations, such as quickly calculating the approximate cost of multiple items while shopping. For example, if you are buying 4 items that cost $27, $82, $235, and $576, you can quickly estimate the total cost by rounding each amount to one significant figure: $30 + $80 + $200 + $600 = $910. This gives you a rough idea of the total expense without needing exact calculations.

Answered by GinnyAnswer | 2025-07-03

To estimate the products of the given multiplications, round each number to one significant figure and multiply the rounded values. The estimated answers are 900 for 25 × 27 , 16000 for 82 × 235 , and 120000 for 576 × 153 . This method provides a quick way to gauge what the actual products might be.
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Answered by Anonymous | 2025-07-04