approximate the result for 786 divided by 120 using the front-end approximation method
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.
To approximate the result of 786 divided by 120 using the front-end approximation method, follow these steps:
Step 1: Identify the front-end digit in the dividend and divide it by the divisor.
The front-end digit in 786 is 7.
Divide 7 by 120: 7 ÷ 120 = 0.0583 (rounded to four decimal places).
Step 2: Multiply the result obtained in the previous step by the divisor.
0.0583 × 120 = 6.99 (rounded to two decimal places).
Therefore, using the front-end approximation method, the approximate result of 786 divided by 120 is 6.99.
To approximate the result of 786 divided by 120 using the front-end approximation method, follow these steps:
1. Identify the first digit of the dividend (786) and the divisor (120). The first digit of the dividend is 7, and the first digit of the divisor is also 1.
2. Divide the first digit of the dividend (7) by the first digit of the divisor (1). This gives you a quotient of 7.
3. Multiply the quotient obtained in step 2 by the divisor (120). The result is 7 x 120 = 840.
4. Compare the result obtained in step 3 (840) to the dividend (786). Since the result (840) is greater than the dividend (786), subtract the divisor (120) from the result obtained in step 3 (840), and rewrite the quotient obtained in step 2 (7) as the final quotient.
Hence, the approximate result for 786 divided by 120 using the front-end approximation method is 7.