Multiply Three Digit by Three

3 digit by 3 digit multiplication

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Objective

Multiply 3-digit numbers by 3-digit numbers

Warm up

Lets review the tables quickly!

Answer the following questions as quickly as you can.

Multiple Choice

What is 6x9?

• 54

• 45

• 36

• 69

Multiple Choice

What is 4x8?

• 32

• 24

• 28

• 36

Multiple Choice

What is 30x0?

• 30

• 60

• 0

• 90

Multiple Choice

What is the expanded form of the number: 4,305

• 4,000 + 300 + 5
• 4,000 + 300 + 50
• 40,000 + 3,000 + 5
• 4,000 + 30 + 5

Multiple Choice

What is the place value of the underlined digit?

26,732

• Ones

• Tens

• Hundreds

• Thousands

[Review]

3 digit by 1 digit

• We will be using the "Partitioning method", where we split the number into hundreds, tens and ones

Multiple Choice

122 x 3 = ?

• 244

• 366

• 122

3 digit by 2 digit

• step 1: partition both numbers

• step 2: write the numbers on the top and side of the grid.

• step 3: solve the multiplication grid.

• step 4: add each row, and add the answers together to get the final answer

Solution

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Multiple Choice

245 x 12 = ?

• 2940

• 2560

• 2110

3 digit by 3 digit

• step 1: partition both numbers

• step 2: write the numbers on the top and side of the grid.

• step 3: solve the multiplication grid.

• step 4: add each row, and add the answers together to get the final answer

Solution

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Multiple Choice

222 x 121 = ?

• 29,250

• 26,862

• 30,125

long multiplication method

• step 1: start with the units - multiply 4 x 7

• step 2: multiply 4x3, Add anything that you have carried.

• step 3: multiply 4x2

• step 4: Drop a zero as we are now multiplying with 10s

• step 5: repeat the same steps with the 10s digit--- 4x7...4x3...4x2

• step 6: Drop 2 zeros as we are now multiplying with 10s and repeat

• Add the 3 answers together

solution

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Multiple Choice

222 x 122

• 22,124

• 28,115

• 27,084

Poll

Are you familiar with 3 digits by 3 digit multiplication?

• yes its very easy

• yes but I may need a little more practice

• its very difficult

• I don't understand it.