- 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)

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# Single Digit Multiplication

When we multiply a single digit by another single digit number, the product is obtained by repeated addition or from memorizing multiplication tables.

For **example**: In the multiplication 3 × 4, we either repeatedly add 3 four times as 3 + 3 + 3 + 3 = 12 or use multiplication table for 3 to get the answer for 3 × 4 = 12.

Multiply 9 × 7

### Solution

**Step 1:**

To multiply 9 by 7 means, to add 9 seven times as shown below.

**Step 2:**

But there is no need to do this repeated addition every time. We need to memorize the multiplication tables and write down the product from memory or from the multiplication table as shown below.

9 times 7 can be read from the table by looking up the 9^{th} row and 7^{th} column and where they meet is the product 63 (pink color)

7 times 9 can also be read from the table by looking up the 7^{th} row and 9^{th} column and where they meet is the product 63 (dark yellow color)

9 × 7 = 63 and 7 × 9 = 63

Multiply 8 × 5

### Solution

**Step 1:**

To multiply 8 by 5 means, to add 8 five times as shown below.

8 + 8 + 8 + 8 + 8 = 40

**Step 2:**

In a similar way, 8 × 5 can be looked up in the multiplication table as shown.

8 × 5 = 40 and 5 × 8 = 40