Final answer:
To estimate the sum of 528 and 742, each number is rounded to one significant figure, resulting in 500 and 700 respectively, and when added together, the estimated sum is 1200.
Step-by-step explanation:
To estimate the sum of 528 + 742 by first rounding each number to 1 significant figure, you follow these steps:
- Round 528 to 500 (since 5 is the first significant figure).
- Round 742 to 700 (since 7 is the first significant figure).
- Add the rounded numbers: 500 + 700 = 1200.
This estimated sum is based on the principle of significant figures where you round each number to the same degree of precision before performing the operation. Since both starting numbers have 0 decimal places, the rounded sum, 1200, is reported as a whole number.