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Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (VCMNA183)
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LO: To multiply large numbers
Know:
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Multiplication facts up to 10 x 10
Understand:
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multiplying numbers by whole numbers increases the value of a number.
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dividing numbers by whole numbers decreases the value of a number.
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Dividing can be thought of as “evenly dividing”
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Dividing is the opposite of multiplying
Do:
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I can multiply large numbers and solve related problems.
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Times Tables
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Grid Method
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Step 1: break 45 and 23 into their respective parts.
Step 2: write 40 and 5 at the top, 20 and 3 down the side.
Step 3: multiply 40 x 20 then 5 x 20 then 40 x 3 and 5 x 3
Step 4: Then add all of the sums together
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Lattice Method
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Step 1: Break down the numbers to their respective parts.
Step 2: write 2, 7, 8 at the top and 3 and 4 down the side
Step 3: split each of the cells into halves diagonally.
Step 4: work out each box accordingly, 8 x 3, 7 x 3, 2 x 3, 8 x 4, 7 x 4, 2 x 4
Step 5: add all numbers below each line
Step 6: Circle the outside numbers and re-write answer.
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Long Multiplication
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Step 1: Set up the “tower”
Step 2: multiply the first number accordingly 6 x 3, 6 x 5
Step 3: Don’t forget the “magic zero”
Step 4: multiply the second number accordingly 2 x 3, 2 x 5
Step 5: Add the numbers column by column
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Multiplying Using Lines
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Step 1: Draw lines to represent the numbers, 12 would break down to 1 and 2, 34 would break down to 3 and 4.
Step 2: Count the number of crosses that occur. Far right is your ones column, middle is your 10s column and far left is your 100s column. If there is anything over 10 you need to carry it over to the next column.
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Multiplication Videos
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Grid Method Video
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Lattice Method Video
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Long Multiplcation Method Video
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Lines Method Video
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Rainbow Method Video
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