Question

Who can answer this question:

By rounding to one significant figure, estimate the answers to these questions:
a) 29 × 31 0.27
b) 4.8 × 37 0.21
c) 9.7 × 26 0.022

Answer 1

The question involves rounding numbers to one significant figure and then performing multiplication and division with these rounded values. The results of the estimations for each operation are also presented to one significant figure.

Step-by-step explanation:

The question is asking us to perform multiplication and division calculations and to round the result to one significant figure. This process requires understanding significant figures, which are the digits in a number that contribute to its precision. We'll step through the calculation, rounding each number to one significant figure, and then perform the operations.

Estimating with One Significant Figure

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To summarize, we rounded each number to one significant figure, performed the operations, and then gave our answers as estimates, also rounded to one significant figure.

Answer 2

a) 29 × 31 ≈ 900 (rounded to one significant figure, the first non-zero digit is 9).

b) 4.8 × 37 ≈ 200 (rounded to one significant figure, the first non-zero digit is 2).

c) 9.7 × 26 ≈ 200 (rounded to one significant figure, the first non-zero digit is 2).

So, the estimated answers rounded to one significant figure are:

a) 900

b) 200

c) 200