Question

Give the estimated (to the hundreds place) difference between 3,475 and 7,652.

a) 4,200
b) 4,100
c) 4,000
d) 3,900

Answer 1

The estimated difference between 3,475 and 7,652 to the hundreds place is 4,200.

Step-by-step explanation:

To find the estimated difference between 3,475 and 7,652 to the nearest hundred, we start by rounding each number to the nearest hundred. The number 3,475 rounds down to 3,400 and the number 7,652 rounds up to 7,700. Now, we find the difference between these two rounded numbers. The estimated difference between 3,475 and 7,652 to the hundreds place is 4,200. To find this, subtract 3,475 from 7,652:

7,652 - 3,475 = 4,177

Since we are rounding to the hundreds place, we look at the digit in the thousands place (1). Since it is less than 5, we round down. Therefore, the estimated difference is 4,200.