Objective: Students will know how to multiply two digit numbers by two digit numbers.

Multiplying 2-Digit by 2-Digit Numbers *We learned yesterday that we can either use:

Long multiplication or multiplication with regrouping

*Today you are going to use both methods to multiply two digits by two digits. How do you multiply by two digit numbers? Sammy's Car wash had 38 full service car washes in one day. If each full service costs 12 dollars, how much money did Sammy's Car Wash make in one day from full-service car washes? Example Word Problem What operation are we going to use to find the answer to this question? What numbers do we need to multiply to solve this problem?

What do they represent? Vocabulary

Factors

Products

Partial Products 38, represents the number of full-service washes

$12, represents the cost for one full-service wash Will the solution be the number of car washes or an amount of money? Multiply by the ones.

Regroup

1

38

x 12

____

76

2 x 8 ones = 16 ones

Regroup the ones as 1 ten and 6 ones.

2 x 3 tens = 6 tens

6 tens + 1 ten = 7 tens Step 1 Multiply by the tens.

Regroup.

1

38

x 12

____

76

380

10 x 8 ones = ones or 8 tens

10 x 3 tens = 30 tens and 3 hundreds Step 2 Add the partial products.

1

38

x 12

_____

76----partial product

+ 380----partial product

____________

456

Sammy's car was made $456.00

Step 3 Why do you add the partial products in Step 3?

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# Multiplying 2-Digit by 2-Digit Numbers

Students multiply two-digit numbers by two-digit numbers.

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