High School

Which shows the estimate of [tex]$627 - 441$[/tex] by rounding to the nearest ten, and then the correct difference?

A. [tex]$200 ; 186$[/tex]
B. [tex]$200 ; 176$[/tex]
C. [tex]$190 ; 186$[/tex]
D. [tex]$190 ; 176$[/tex]

Answer :

To solve the problem, let's break it down into two parts: estimating the difference by rounding to the nearest ten and then finding the correct difference.

1. Rounding to the Nearest Ten:
- Start with the number 627. To round it to the nearest ten, look at the last digit, which is 7. Since 7 is 5 or more, round up. So, 627 rounds to 630.
- Next, take the number 441. Look at the last digit, which is 1. Since 1 is less than 5, round down. Therefore, 441 rounds to 440.

2. Calculating the Estimated Difference:
- Subtract the rounded values: 630 - 440 = 190.
- So, the estimate of the difference is 190.

3. Finding the Correct Difference:
- Subtract the original numbers: 627 - 441 = 186.
- Therefore, the correct difference is 186.

Given these calculations, the option that matches both the estimated difference and the correct difference is:

(C) 190 ; 186