- Multiply and Divide Whole Numbers
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- Multiplication as Repeated Addition
- Single Digit Multiplication
- Multiplication by 10, 100, and 1000
- Multiplication Without Carry
- Multiplication With Carry
- Multiplication With Trailing Zeros: Problem Type 1
- Multiplication With Trailing Zeros: Problem Type 2
- Multiplication of 2-digit Numbers With 2-digit Numbers
- Multiplication of a Single Digit Number With Large Numbers
- Multiplication of Large Numbers
- Multiples Problem Type 1
- Multiples Problem Type 2
- Division Facts
- Fact Families for Multiplication and Division
- Multiplication or Division of Whole Numbers (Word problems)
- Multiplication and Addition or Subtraction of Whole numbers (Word problems)
- Unit Rates and Ratios of Whole Numbers (Word problems)
- Division Without Carry
- Division With Carry
- Division Involving Zero
- Whole Number Division: 2-digit by 2-digit, No Remainder
- Whole Number Division: 3-digit by 2-digit, No Remainder
- Division With Trailing Zeros: Problem Type 1
- Division With Trailing Zeros: Problem Type 2
- Quotient and Remainder: Problem type 1
- Quotient and Remainder: Problem type 2
- Quotient and Remainder (Word problems)
Fact Families for Multiplication and Division
Definition
Fact family: It is a set of four related multiplication and division facts that use the same three numbers.
For example: The fact family for 3, 8 and 24 is a set of four multiplication and division facts. Two are multiplication facts, whereas the other two are division facts.
| 3 | 8 | = | 24 | |
| 8 | 3 | = | 24 | |
| 24 | ÷ | 3 | = | 8 |
| 24 | ÷ | 8 | = | 3 |
Problem 1
Write the fact family for multiplication and division for 7, 12 and 84
Solution
Step 1:
The fact family for multiplication for 7, 12 and 84 is as follows
| 7 | 12 | = | 84 | |
| 12 | 7 | = | 84 |
Step 2:
The fact family for division for 7, 12 and 84 is as follows
| 84 | ÷ | 7 | = | 12 |
| 84 | ÷ | 12 | = | 7 |
Problem 2
Write the fact family for multiplication and division for 9, 11 and 99
Solution
Step 1:
The fact family for multiplication for 9, 11 and 99 is as follows
| 9 | 11 | = | 99 | |
| 11 | 9 | = | 99 |
Step 2:
The fact family for division for 9, 11 and 99 is as follows
| 99 | ÷ | 11 | = | 9 |
| 99 | ÷ | 9 | = | 11 |
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