Answer:
Explanation:
Time made a mistake in estimating 3,714 divided by 94. The mistake he made was likely rounding off the numbers before performing the division.
To understand the mistake, let's go through the correct steps to solve the division problem:
1. First, write down the dividend (the number being divided) and the divisor (the number we are dividing by).
- Dividend: 3,714
- Divisor: 94
2. Start dividing by the divisor. The goal is to find out how many times the divisor can be divided into the dividend without any remainder.
3. Begin with the leftmost digit of the dividend (3,714). Check if the divisor (94) can be divided into it. If not, move to the next digit.
4. Since 94 is smaller than 371, we need to divide 371 by 94.
5. 94 can be divided into 371 three times without any remainder. Multiply the divisor (94) by the quotient (3) to get the partial product: 94 x 3 = 282.
6. Subtract the partial product (282) from the original dividend (371) to get the remainder: 371 - 282 = 89.
7. Bring down the next digit of the dividend (the 4 in 3,714) to the remainder, making it 894.
8. Repeat steps 4-7 with the new dividend (894) until there are no more digits left in the dividend.
9. Eventually, we find that 94 can be divided into 3,714 without any remainder. The quotient is the sum of the partial products: 3 + 39 + 8 = 50.
So, the correct answer to 3,714 divided by 94 is 50.
Time's mistake could be rounding off the numbers before performing the division, which can lead to an incorrect result. For example, if Time rounded 3,714 to 3,700 and 94 to 90, the estimated answer would be 3,700 divided by 90, which is approximately 41.11. This is different from the correct answer of 50.