The image you uploaded shows the cover of a
Kumon Math Workbook for Grade 4, focusing on
Division. The workbook is designed to introduce children to division concepts and practice problems involving remainders.
Problem Description:
Since no specific problem was provided in your question, I will create a sample division problem that aligns with the theme of the workbook (division with remainders) and explain how to solve it step by step.
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Sample Problem:
Divide 58 by 7 and find the quotient and remainder.
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Solution Explanation:
#### Step 1: Understand the Division Process
Division is the process of splitting a number (dividend) into equal parts based on another number (divisor). The result of the division is called the quotient, and if there is any leftover part, it is called the remainder.
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Dividend: The number being divided (in this case, 58).
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Divisor: The number dividing the dividend (in this case, 7).
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Quotient: The result of the division.
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Remainder: The leftover part after division.
#### Step 2: Perform the Division
We need to divide 58 by 7.
1.
Estimate the Quotient:
- How many times does 7 fit into 58?
- Start by trying smaller multiples of 7:
- \( 7 \times 1 = 7 \)
- \( 7 \times 2 = 14 \)
- \( 7 \times 3 = 21 \)
- \( 7 \times 4 = 28 \)
- \( 7 \times 5 = 35 \)
- \( 7 \times 6 = 42 \)
- \( 7 \times 7 = 49 \)
- \( 7 \times 8 = 56 \)
- \( 7 \times 9 = 63 \) (too large, so stop here).
- The largest multiple of 7 that is less than or equal to 58 is \( 7 \times 8 = 56 \). So, the quotient is 8.
2.
Calculate the Remainder:
- Subtract the product of the divisor and the quotient from the dividend:
\[
\text{Remainder} = \text{Dividend} - (\text{Divisor} \times \text{Quotient})
\]
\[
\text{Remainder} = 58 - (7 \times 8) = 58 - 56 = 2
\]
#### Step 3: Write the Final Answer
The quotient is 8, and the remainder is 2. This can be written as:
\[
58 \div 7 = 8 \text{ R } 2
\]
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Final Answer:
\[
\boxed{8 \text{ R } 2}
\]
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Explanation for Children:
- Imagine you have 58 candies and want to share them equally among 7 friends.
- Each friend gets 8 candies (that's the quotient).
- After giving out 8 candies to each of the 7 friends, you have 2 candies left over (that's the remainder).
This approach helps children visualize division and understand the concept of remainders.
Parent Tip: Review the logic above to help your child master the concept of kumon grade division worksheet.