The image you provided appears to be a worksheet for practicing short division problems. Each problem involves dividing a three-digit number by a single-digit divisor. Below, I will solve one of the problems as an example and explain the process step by step. Then, I will provide a general explanation of how to approach these types of problems.
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Example Problem:
Let's solve the first problem in the worksheet:
675 ÷ 9
#### Step-by-Step Solution:
1.
Set up the division:
- Write 675 under the division bar and 9 outside the division bar.
- Start by considering the first digit of 675, which is 6.
2.
Divide the first digit:
- Ask how many times 9 can go into 6. Since 9 is larger than 6, it cannot go into 6 at all.
- So, consider the first two digits: 67.
3.
Divide the first two digits:
- Ask how many times 9 can go into 67.
- 9 × 7 = 63 (which is less than 67)
- 9 × 8 = 72 (which is greater than 67)
- Therefore, 9 goes into 67 seven times.
- Write 7 above the division bar, directly above the 7 in 675.
4.
Subtract and bring down the next digit:
- Multiply 7 by 9: \( 7 \times 9 = 63 \).
- Subtract 63 from 67: \( 67 - 63 = 4 \).
- Bring down the next digit, which is 5, to make it 45.
5.
Divide the new number:
- Now, ask how many times 9 can go into 45.
- 9 × 5 = 45.
- Therefore, 9 goes into 45 five times.
- Write 5 above the division bar, directly above the 5 in 675.
6.
Subtract to find the remainder:
- Multiply 5 by 9: \( 5 \times 9 = 45 \).
- Subtract 45 from 45: \( 45 - 45 = 0 \).
- The remainder is 0.
7.
Write the final answer:
- The quotient is 75, and the remainder is 0.
- Therefore, \( 675 \div 9 = 75 \).
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General Explanation for Short Division:
1.
Start with the leftmost digit(s) of the dividend:
- If the divisor is larger than the leftmost digit, consider the next digit to the right until the number is large enough to be divided by the divisor.
2.
Perform the division:
- Determine how many times the divisor can fit into the current part of the dividend without exceeding it.
- Write the result above the division bar.
3.
Multiply and subtract:
- Multiply the quotient digit by the divisor.
- Subtract the result from the current part of the dividend.
- Bring down the next digit of the dividend.
4.
Repeat the process:
- Continue this process until all digits of the dividend have been brought down and divided.
5.
Final Answer:
- The numbers written above the division bar form the quotient.
- If there is any remainder left after the last subtraction, write it next to the quotient.
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Applying the Process to Other Problems:
You can use the same steps to solve the other problems in the worksheet. For example:
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675 ÷ 9 → Quotient: 75, Remainder: 0
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675 ÷ 8 → Quotient: 84, Remainder: 3
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675 ÷ 7 → Quotient: 96, Remainder: 3
- And so on...
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Final Answer:
For the first problem, the solution is:
\[
\boxed{75}
\]
Parent Tip: Review the logic above to help your child master the concept of short division worksheet for grade 6.
