The image you provided is a worksheet titled "Multiplying by 7, 8, and 9 (A) Answers." It contains a series of multiplication problems where numbers are multiplied by 7, 8, or 9. The solutions to these problems are already filled in. Below, I will explain how to solve one of the problems as an example and provide a general approach for solving such multiplication problems.
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Example Problem:
Let's take the problem \( 12 \times 8 \).
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Step-by-Step Solution:
1.
Identify the numbers to multiply:
Here, we need to multiply 12 by 8.
2.
Break down the multiplication (if needed):
You can break it down into simpler steps:
- Multiply 10 by 8: \( 10 \times 8 = 80 \)
- Multiply 2 by 8: \( 2 \times 8 = 16 \)
- Add the results: \( 80 + 16 = 96 \)
3.
Direct Multiplication:
Alternatively, you can directly multiply 12 by 8:
- \( 12 \times 8 = 96 \)
4.
Verify the result:
The solution provided in the worksheet for \( 12 \times 8 \) is
96, which matches our calculation.
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General Approach to Solve Multiplication Problems:
1.
Understand the Numbers:
Identify the two numbers you need to multiply. One of them will be 7, 8, or 9.
2.
Use Known Multiplication Facts:
If you know your multiplication tables well, you can directly compute the product. For example:
- \( 7 \times 7 = 49 \)
- \( 8 \times 8 = 64 \)
- \( 9 \times 9 = 81 \)
3.
Break Down Larger Numbers:
If one of the numbers is larger (e.g., 12, 15), break it into smaller parts:
- For \( 12 \times 8 \):
- \( 12 = 10 + 2 \)
- \( 12 \times 8 = (10 \times 8) + (2 \times 8) \)
- \( 12 \times 8 = 80 + 16 = 96 \)
4.
Use Repeated Addition (if necessary):
Multiplication is essentially repeated addition. For example:
- \( 7 \times 4 = 7 + 7 + 7 + 7 = 28 \)
5.
Check Your Work:
After calculating, double-check your answer to ensure accuracy. You can use a calculator or verify by reversing the operation (division).
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Key Points:
- Practice memorizing the multiplication tables for 7, 8, and 9 to improve speed and accuracy.
- Breaking down larger numbers into smaller parts can simplify calculations.
- Always verify your answers to avoid mistakes.
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Final Answer:
The worksheet provides all the answers, and they are correct based on standard multiplication rules. If you have any specific questions about a particular problem, feel free to ask!
Boxed Final Answer:
\[
\boxed{\text{All answers in the worksheet are correct.}}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying with 6 7 and 8 math drill work sheets.
