approximate the result for 786 divided by 120 using the front-end approximation method

Answer 1

To approximate the result for 786 divided by 120 using the front-end approximation method, we will look at the leftmost digit of the dividend (786) and divide it by the leftmost digit of the divisor (120).

The leftmost digit of the dividend is 7, and the leftmost digit of the divisor is 1. Therefore, our estimate for the quotient is 7.

Let's proceed with the step-by-step calculation using this estimate:

7 ÷ 1 = 7

Now we multiply the estimate by the divisor:

7 × 120 = 840

Next, we subtract this result from the dividend:

786 - 840 = -54

Since the result is negative, our estimate of 7 was too high. To adjust for this, we decrease the estimate by 1 to obtain 6.

Now we repeat the steps:

6 ÷ 1 = 6

6 × 120 = 720

786 - 720 = 66

Since the result is still positive, our estimation of 6 is correct.

Therefore, 786 divided by 120 is approximately equal to 6.