Math  /  Numbers & Operations

QuestionManny started to divide 942 by 12. 1 2 \longdiv { 9 4 2 } Is the first digit of his quotient correct?
Yes, it's correct.
No, it should be 7.
No, it should be 8 .

Studdy Solution

STEP 1

1. Manny is performing long division of 942 942 by 12 12 .
2. We need to determine if the first digit of the quotient is correct.

STEP 2

1. Understand the division process.
2. Perform the division to find the first digit of the quotient.
3. Compare the result with Manny's first digit.

STEP 3

Understand that in long division, the first digit of the quotient is determined by dividing the leading digits of the dividend by the divisor.

STEP 4

Identify the leading part of the dividend that is greater than or equal to the divisor. In this case, consider the first two digits of 942 942 , which is 94 94 .

STEP 5

Determine how many times 12 12 can fit into 94 94 without exceeding it. Calculate:
12×7=84 12 \times 7 = 84 12×8=96 12 \times 8 = 96
Since 96 96 is greater than 94 94 , 12 12 fits into 94 94 seven times.

STEP 6

Compare the calculated first digit of the quotient, 7 7 , with Manny's first digit, 1 1 .
The first digit of Manny's quotient should be 7 7 , not 1 1 .
No, it should be 7.

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