Question

Estimate the sum or difference of the following numbers by rounding each to the nearest larger place:

A) 59, 123 + 7,854
B) 0.9932 + 0.9512
C) -36.673 + 39.999
D) 7,654.891 - 849.999

Answer 1

To estimate the sum or difference of numbers by rounding each to the nearest larger place, follow these steps: identify the place value, round the numbers, and perform the operation. A) The estimated sum is 7,920. B) The estimated sum is 2.000. C) The estimated sum is 3.330. D) The estimated difference is 6,810.

Step-by-step explanation:

To estimate the sum or difference of numbers by rounding each to the nearest larger place, we follow these steps:

1. Identify the place value to which you need to round.
2. Look at the digit to the right of the place value. If it is 5 or greater, round up. If it is less than 5, round down.
3. Round the numbers to the identified place value.
4. Add or subtract the rounded numbers to get the estimated sum or difference.

Let's calculate the estimates for each problem:

1. A) 59 rounded to the nearest larger place is 60, and 7,854 rounded to the nearest larger place is 7,860. The estimated sum is 60 + 7,860 = 7,920.
2. B) 0.9932 rounded to the nearest larger place is 1.000, and 0.9512 rounded to the nearest larger place is 1.000. The estimated sum is 1.000 + 1.000 = 2.000.
3. C) -36.673 rounded to the nearest larger place is -36.670, and 39.999 rounded to the nearest larger place is 40.000. The estimated sum is -36.670 + 40.000 = 3.330.
4. D) 7,654.891 rounded to the nearest larger place is 7,660, and 849.999 rounded to the nearest larger place is 850. The estimated difference is 7,660 - 850 = 6,810.