April needs to estimate the sum of 427 and 338 should she round to the nearest ten or hundred to get the closer answer? Explain.
487+310
For the closet answer, round to the nearest 10.
430 + 340 = 770
400 + 300 = 700
The actual answer: 427 + 338 = 765
To estimate the sum of 427 and 338, April can choose to round to the nearest ten or hundred to get a closer answer.
If she rounds to the nearest ten, she would round 427 to 430 and 338 to 340. Adding them together, she would get an estimated sum of 770.
If she rounds to the nearest hundred, she would round 427 to 400 and 338 to 300. Adding them together would give her an estimated sum of 700.
In this case, rounding to the nearest hundred would give a closer estimate to the actual sum of 427 and 338, which is 765. Therefore, April should round to the nearest hundred to get a closer answer.
To determine whether April should round to the nearest ten or hundred to get a closer estimate of the sum of 427 and 338, we need to look at the place value of the numbers.
In this case, the numbers to be added are 427 and 338. The units digit of each number tells us what place value we should consider. The units digit of 427 is 7 and the units digit of 338 is 8.
If we round to the nearest ten, we are only considering the tens place. The tens digit of 427 is 2 and the tens digit of 338 is 3. Rounding each of these numbers to the nearest ten, we get 430 and 340 respectively.
When we add these rounded numbers, the sum is 770.
If we round to the nearest hundred, we are considering the hundreds place. The hundreds digit of 427 is 4 and the hundreds digit of 338 is also 3. Rounding each of these numbers to the nearest hundred, we get 400 and 300 respectively.
When we add these rounded numbers, the sum is 700.
Comparing the two sums obtained by rounding to the nearest ten and nearest hundred, we can see that rounding to the nearest hundred (700) gives us a closer estimate than rounding to the nearest ten (770) of the actual sum of 427 and 338 (765).
Therefore, April should round to the nearest hundred to get a closer estimate of the sum.