2.1 Patterns of Multiplication Objective: 6.C.1.a Multiply Whole Numbers Assessment limits: Use a 3-digit factor by any other factor with no more than 2-digits and whole numbers (0-10,000) Multiplication Repeated Addition Factor A number multiplied to give a product; for example, 3 and 5 in 3 X5 Product The answer in a multiplication problem Use basic facts and patterns to find products Find 400 X 700 Basic fact is 4 X 7 = 28 Pattern: 4 X 70 = 280 4 X 700 = 2800 40 X 700 = 2,8000 400 X 700 = 280,000 You can count the zeros in the factors Step 1: Find the Basic Fact 4 X 7 = 28 Step 2: Count the number of zeros in each factor. 400 X 700 2 Zeros + 2 zeros= 4 zeros Step 3: Write the zeros to the right of the product in Step 1 400 X 700 = 280,000 Product from Step 1 Zeros From Step 2 Think: Sometimes there is an extra zero in the product. Can anyone give me an example? Basic Fact 5 X 6 = 30 Pattern: 5 X 60 = 300 5 X 600 = 3000 50 X 600 = 3,0000 500 X 600 = 300,000 Multiply 4 X 400 = 1,600 Multiply 6 X 50 = 300 Multiply 100 X 12 = 1,200 Copy and Complete 2 X 40 = 80 2 X 400 = 800 20 X 400 = 8000 200 X 400 = 80,000 Copy and Complete 7 X 50 = 350 7 X 500 = 3500 70 X 500 = 35000 700 X 500 = 350,000 Copy and Complete 8 X 120 =960 8 X 1200 = 9600 80 X 1200 = 96000 800 X 1200 = 960,000 Copy and Complete 5 X 60 = 300 5 X 600 = 3000 50 X 600 = 30000 500 X 600 = 300,000 Exit Ticket How many zeros will be in the product of 500 and 4,000? Explain