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jeka94
3 years ago
8

Show your work. What is 93 divided by 3 using repeated subtraction.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0
To use repeated subtraction, you could keep subtracting 3 until you reach 0.
So, we can do
93-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3=0
This has 31 -3s,
So 91/3 is 31.
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  see attached

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Each digit of the quotient is aligned with the least significant digit of the current dividend. The "current dividend" is that portion of the remaining dividend that is at least 1 and less than 10 times the divisor. The product of the quotient digit and the divisor is subtracted from the "current dividend" to get the remaining dividend.

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For many folks, the hardest part of this algorithm is determining the appropriate quotient digit, and multiplying that by the divisor. Some teachers teach that you start this process by making a list of the multiples of the divisor:

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This process can be aided by your number sense.

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You can proceed to build the table by adding 28 to each previous value, or by recognizing doubles and halves and other sums.

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