This document provides instructions for multiplying two-digit numbers by two-digit numbers in 5 steps: 1) Multiply the ones place of the first number by the ones place of the second number. 2) Multiply the ones place of the first number by the tens place of the second number and add any carries. 3) Repeat for the tens place of the first number. 4) Add the partial products together. 5) The sum is the total product of the multiplication problem.

1. Multiply by Two-Digit Numbers Mrs. Young EMC 1

2. Objective To multiply 2 digit numbers by 2 digit numbers First let’s review some vocabulary: Factor - Factors are the numbers you multiply together to get another number: Example: 3 and 4 are factors of 12, because 3x4=12. Also 2x6=12 so 2 and 6 are also factors of 12, and 1x12=12 so 1 and 12 are factors of 12 as well.

3. Vocabulary Product – the answer in a multiplication problem Example: 3 x 4 = 12 ; the product is 12

4. Step 1: 3 5 2 4 (4 x 5 = ) We multiply the 4 by the 5 . We start multiplying with the 4 We always multiply from right to left. 0 We right down the unit, In this case 0 , Under the 4 2 We carry the 2 and place it by the 3

5. Step 2: 3 5 2 4 (4 x 3 (+2 )= We then multiply the 4 by the 3 1 4 2 0 We add the 2 carried earlier We right down 14 next The 0

6. Step 3: 3 5 2 4 Now we start multiplying with the 2 1 4 0 Before we begin multiplying we must first place a in the units column 0 We multiply the 2 by the 5 (2 x 5 = ) Again, we right down the unit and carry the tens 1 0

7. Step 4: 3 5 2 4 1 4 0 We multiply the 2 by the 3 (2 x 3 (+1) = ) Again, we add the 1 carried earlier 7 0 0

8. Step 5: 3 5 2 4 1 4 0 0 7 0 Finally we must add the numbers together + 0 4 8