Math / Numbers & Operations

QuestionThe teacher can use $\qquad$ Use partial quotients to divide $3175 \div 5$ $\qquad$

Studdy Solution

STEP 1

1. We are using the partial quotients method to divide.
2. We need to divide $3175$ by $5$ .

STEP 2

1. Estimate partial quotients.
2. Subtract the partial product.
3. Repeat the process until the remainder is less than the divisor.
4. Sum the partial quotients to find the final quotient.

STEP 3

Estimate a partial quotient by determining how many times $5$ can fit into the leading digits of $3175$ . Start with the largest place value.

STEP 4

Estimate: $5$ fits into $31$ (the first two digits of $3175$ ) approximately $6$ times because $5 \times 6 = 30$ .

STEP 5

Multiply the partial quotient by the divisor and subtract from the original number.
$3175 - (5 \times 600) = 3175 - 3000 = 175$

STEP 6

Repeat the process with the remainder $175$ .
Estimate: $5$ fits into $175$ approximately $3$ times because $5 \times 3 = 15$ .

STEP 7

Multiply and subtract again.
$175 - (5 \times 30) = 175 - 150 = 25$

STEP 8

Repeat the process with the new remainder $25$ .
Estimate: $5$ fits into $25$ exactly $5$ times because $5 \times 5 = 25$ .

STEP 9

Multiply and subtract again.
$25 - (5 \times 5) = 25 - 25 = 0$

STEP 10

Sum the partial quotients: $600 + 30 + 5 = 635$ .
The quotient of $3175 \div 5$ is:
$\boxed{635}$

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QuestionThe teacher can use $\qquad$ Use partial quotients to divide $3175 \div 5$ $\qquad$

Studdy Solution

STEP 1

1. We are using the partial quotients method to divide.
2. We need to divide $3175$ by $5$ .

STEP 2

1. Estimate partial quotients.
2. Subtract the partial product.
3. Repeat the process until the remainder is less than the divisor.
4. Sum the partial quotients to find the final quotient.

STEP 3

Estimate a partial quotient by determining how many times $5$ can fit into the leading digits of $3175$ . Start with the largest place value.

STEP 4

Estimate: $5$ fits into $31$ (the first two digits of $3175$ ) approximately $6$ times because $5 \times 6 = 30$ .

STEP 5

Multiply the partial quotient by the divisor and subtract from the original number.
$3175 - (5 \times 600) = 3175 - 3000 = 175$

STEP 6

Repeat the process with the remainder $175$ .
Estimate: $5$ fits into $175$ approximately $3$ times because $5 \times 3 = 15$ .

STEP 7

Multiply and subtract again.
$175 - (5 \times 30) = 175 - 150 = 25$

STEP 8

Repeat the process with the new remainder $25$ .
Estimate: $5$ fits into $25$ exactly $5$ times because $5 \times 5 = 25$ .

STEP 9

Multiply and subtract again.
$25 - (5 \times 5) = 25 - 25 = 0$

STEP 10

Sum the partial quotients: $600 + 30 + 5 = 635$ .
The quotient of $3175 \div 5$ is:
$\boxed{635}$

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QuestionThe teacher can use \qquad Use partial quotients to divide 3175÷53175 \div 53175÷5 \qquad

Studdy Solution

STEP 1

1. We are using the partial quotients method to divide.2. We need to divide 3175 3175 3175 by 5 5 5.

STEP 2

1. Estimate partial quotients.2. Subtract the partial product.3. Repeat the process until the remainder is less than the divisor.4. Sum the partial quotients to find the final quotient.

STEP 3

Estimate a partial quotient by determining how many times 5 5 5 can fit into the leading digits of 3175 3175 3175. Start with the largest place value.

STEP 4

Estimate: 5 5 5 fits into 31 31 31 (the first two digits of 3175 3175 3175) approximately 6 6 6 times because 5×6=30 5 \times 6 = 30 5×6=30.

STEP 5

Multiply the partial quotient by the divisor and subtract from the original number.3175−(5×600)=3175−3000=175 3175 - (5 \times 600) = 3175 - 3000 = 175 3175−(5×600)=3175−3000=175

STEP 6

Repeat the process with the remainder 175 175 175.Estimate: 5 5 5 fits into 175 175 175 approximately 3 3 3 times because 5×3=15 5 \times 3 = 15 5×3=15.

STEP 7

Multiply and subtract again.175−(5×30)=175−150=25 175 - (5 \times 30) = 175 - 150 = 25 175−(5×30)=175−150=25

STEP 8

Repeat the process with the new remainder 25 25 25.Estimate: 5 5 5 fits into 25 25 25 exactly 5 5 5 times because 5×5=25 5 \times 5 = 25 5×5=25.

STEP 9

Multiply and subtract again.25−(5×5)=25−25=0 25 - (5 \times 5) = 25 - 25 = 0 25−(5×5)=25−25=0

STEP 10

Sum the partial quotients: 600+30+5=635 600 + 30 + 5 = 635 600+30+5=635. The quotient of 3175÷5 3175 \div 5 3175÷5 is:635\boxed{635}635​

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Studdy solves anything!

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QuestionThe teacher can use $\qquad$ Use partial quotients to divide $3175 \div 5$ $\qquad$

1. We are using the partial quotients method to divide.
2. We need to divide $3175$ by $5$ .

1. Estimate partial quotients.
2. Subtract the partial product.
3. Repeat the process until the remainder is less than the divisor.
4. Sum the partial quotients to find the final quotient.

Estimate a partial quotient by determining how many times $5$ can fit into the leading digits of $3175$ . Start with the largest place value.

Estimate: $5$ fits into $31$ (the first two digits of $3175$ ) approximately $6$ times because $5 \times 6 = 30$ .

Multiply the partial quotient by the divisor and subtract from the original number.
$3175 - (5 \times 600) = 3175 - 3000 = 175$

Repeat the process with the remainder $175$ .
Estimate: $5$ fits into $175$ approximately $3$ times because $5 \times 3 = 15$ .

Multiply and subtract again.
$175 - (5 \times 30) = 175 - 150 = 25$

Repeat the process with the new remainder $25$ .
Estimate: $5$ fits into $25$ exactly $5$ times because $5 \times 5 = 25$ .

Multiply and subtract again.
$25 - (5 \times 5) = 25 - 25 = 0$

Sum the partial quotients: $600 + 30 + 5 = 635$ .
The quotient of $3175 \div 5$ is:
$\boxed{635}$