Anthony estimated the following problem:
15,296 + 28,281
He rounded to the ten thousands place. His estimate was 40,000. Did he underestimate or overestimate? Explain.
15296 =~ 20,000
28281 =~ 30,000
On the other hand, the exact sum is 43,577, which rounds to 40,000
I'd say he underestimated.
The number has 5 digits
It is evenly divisible by 100
The value of one of the digits is 6,00
To determine whether Anthony underestimated or overestimated the sum of 15,296 and 28,281, we can compare his estimate to the actual sum.
1. Add the two numbers: 15,296 + 28,281 = 43,577
2. Compare Anthony's estimate (40,000) to the actual sum (43,577).
Since Anthony's estimate of 40,000 is less than the actual sum of 43,577, he underestimated the sum.
Explanation:
Anthony rounded to the nearest ten thousand, which means he only considered the digits at the ten thousand's place and ignored the digits at the thousands, hundreds, and tens places.
In this case, the digit at the ten thousand's place in the actual sum is 4 (43,577), which is greater than the digit at the ten thousand's place in Anthony's estimate (40,000).
Therefore, Anthony's estimate falls short of the actual sum, making it an underestimate.