The image you provided is a division table that shows the results of dividing numbers by integers from 1 to 12. Each column represents division by a specific number (e.g., ÷1, ÷2, ÷3, etc.), and each row shows the result of dividing successive multiples of the divisor.
Explanation of the Division Table:
1.
Structure:
- The table is divided into 12 columns, each representing division by a specific number from 1 to 12.
- Each column lists the results of dividing multiples of the divisor by that divisor.
2.
How It Works:
- For example, in the ÷2 column:
- \( 2 \div 2 = 1 \)
- \( 4 \div 2 = 2 \)
- \( 6 \div 2 = 3 \)
- And so on.
- Similarly, in the ÷7 column:
- \( 7 \div 7 = 1 \)
- \( 14 \div 7 = 2 \)
- \( 21 \div 7 = 3 \)
- And so on.
3.
Patterns:
- Each column follows a pattern where the dividend increases by the divisor, and the quotient increases by 1 for each step.
- For example, in the ÷3 column:
- \( 3 \div 3 = 1 \)
- \( 6 \div 3 = 2 \)
- \( 9 \div 3 = 3 \)
- Here, the dividend increases by 3 (the divisor), and the quotient increases by 1.
4.
Purpose:
- This table is a useful tool for learning and memorizing basic division facts.
- It helps students understand the relationship between multiplication and division (e.g., if \( 3 \times 4 = 12 \), then \( 12 \div 3 = 4 \)).
Solution and Explanation for Specific Entries:
Let's verify a few entries from the table:
#### Example 1: \( 24 \div 6 \)
- In the ÷6 column:
- \( 24 \div 6 = 4 \)
- Verification:
- \( 6 \times 4 = 24 \), so \( 24 \div 6 = 4 \).
#### Example 2: \( 56 \div 7 \)
- In the ÷7 column:
- \( 56 \div 7 = 8 \)
- Verification:
- \( 7 \times 8 = 56 \), so \( 56 \div 7 = 8 \).
#### Example 3: \( 90 \div 9 \)
- In the ÷9 column:
- \( 90 \div 9 = 10 \)
- Verification:
- \( 9 \times 10 = 90 \), so \( 90 \div 9 = 10 \).
Final Answer:
The table is correct and provides a comprehensive overview of basic division facts. Each entry in the table can be verified using the relationship between multiplication and division.
\[
\boxed{\text{The table is correct.}}
\]
Parent Tip: Review the logic above to help your child master the concept of division worksheet 1 12.
