The image contains a worksheet with division problems. Each problem involves dividing a larger number by a smaller number. Below, I will solve one of the problems as an example and explain the process step-by-step. Then, I will provide a general approach for solving these types of problems.
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Example Problem: Solve \( 6 \div 4970 \)
#### Step-by-Step Solution:
1.
Set up the division: Write \( 4970 \) inside the division bracket and \( 6 \) outside.
```
____
6 | 4970
```
2.
Compare the numbers: The divisor (6) is much smaller than the dividend (4970). This means the quotient will be a decimal number.
3.
Perform the division:
- Since 6 cannot go into 4, we look at the first two digits of the dividend, which is 49.
- 6 goes into 49 eight times (since \( 6 \times 8 = 48 \)).
- Subtract \( 48 \) from \( 49 \) to get a remainder of \( 1 \).
- Bring down the next digit (7) to make it \( 17 \).
- 6 goes into 17 two times (since \( 6 \times 2 = 12 \)).
- Subtract \( 12 \) from \( 17 \) to get a remainder of \( 5 \).
- Bring down the next digit (0) to make it \( 50 \).
- 6 goes into 50 eight times (since \( 6 \times 8 = 48 \)).
- Subtract \( 48 \) from \( 50 \) to get a remainder of \( 2 \).
4.
Continue the process: Since we have reached the end of the dividend and there are no more digits to bring down, we can stop here or add a decimal point and continue if needed.
5.
Final Answer: The quotient is \( 828 \) with a remainder of \( 2 \). In decimal form, it would be approximately \( 828.333\ldots \).
So, \( 4970 \div 6 = 828 \text{ R } 2 \).
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General Approach for Solving Division Problems:
1.
Set up the division: Place the dividend inside the division bracket and the divisor outside.
2.
Compare the numbers: Determine how many times the divisor can fit into the dividend or part of the dividend.
3.
Perform the division:
- Multiply the divisor by the quotient digit.
- Subtract the product from the current part of the dividend.
- Bring down the next digit and repeat until all digits are processed.
4.
Handle remainders: If there is a remainder, it can be expressed as a remainder or converted into a decimal by adding a decimal point and continuing the division.
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Additional Notes:
- For problems where the divisor is larger than the dividend (e.g., \( 6 \div 4970 \)), the quotient will be less than 1. In such cases, you can add a decimal point and zeros to the dividend to continue the division.
- Always check your work by multiplying the quotient by the divisor and adding the remainder to see if it equals the original dividend.
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If you need solutions for specific problems or further clarification, feel free to ask!
Final Answer:
\[
\boxed{828 \text{ R } 2}
\] (for the example problem \( 6 \div 4970 \))
Parent Tip: Review the logic above to help your child master the concept of math worksheet for 5th grade division.
