Multiplication Patterns Introduction 5 th Grade Math CM

Multiplication Patterns Introduction 5 th Grade Math CM 2 FK 2

Learning Objective I will define 5 vocabulary words I will use basic facts and patterns to multiply multiples of 10, 100, and 1, 000

Vocabulary Product – The answer to a multiplication problem

Vocabulary Quotient – The result of a division problem

Vocabulary Dividend – A number that is being divided

Vocabulary Divisor – The number by which the dividend is being divided

Vocabulary Estimate – A number close to an exact value; Indicates about how much

Let’s use some basic facts and patterns to multiply multiples of 10, 100, and 1, 000

Multiply the following #’s with your calculator… do you notice a pattern? 3 x 9= 3 x 9000= 27 (basic fact) 270 (3 x 9 tens) 2, 700 (3 x 9 hundreds) 27, 000 (3 x 9 thousands)

Multiply these basic multiplication facts 6 x 8= 6 x 8000= 48 (basic fact) 480 (6 x 8 tens) 4, 800 (6 x 8 hundreds) 48, 000 (6 x 8 thousands)

Counting Zeros to Multiply STEP 1 Write the basic fact Example: 3 x 2 = 6 STEP 2 Count the number of zeros in each factor Example: 3 x 200 STEP 3 Write the zeros to the right of the product from step 1 Example: 3 x 200 = 600

Example #1 Use what you know about patterns to solve 4 x 600 4 x 6= 24 4 x 60= 240 4 x 600= 2400

Example #2 Use what you know about patterns to solve 5 x 5000 5 x 5= 25 5 x 50= 250 5 x 500= 2, 500 5 x 5000= 25, 000

Example #3 Use what you know about patterns to solve 8 x 700 8 x 7= 56 8 x 70= 560 8 x 700= 5, 600

Review What was our learning objective? Define Product Define Quotient Define Divisor and Dividend What are three steps to multiply with zeros?