Distributive multiplication
Transcript of Distributive multiplication
MultiplicationUsing the Distributive Property
What’s the Distributive Property?
• When using the distributive property, you break down large complex numbers into numbers that are easier to work with.
• You often use expanded form.
What’s the Distributive Property?
Here’s an example:
62 x 3
Let’s use the distributive property to find the product.
62 x 3
1. Write the multi-digit number in expanded form.
Another way of writing 62 is: 60 + 2
60 + 2
62 x 3 = ( x ) + ( x )
Since 62 is a two digit number, we need two sets of parentheses.
60 2 +
2. Set up your parentheses.
62 x 3 = ( x ) + ( x )
3. Multiply each part of the expanded number by the one-digit factor.
Multiply 60 by 3, and 2 by 3.
60 2
+
3 3
62 x 3 = ( x 3) + ( x 3) = +
4. Find the product to each multiplication problem.
60 x 3 = 180 2 x 3 = 6
60 2 180 6
62 x 3 = ( x 3) + ( x 3) = 180 + 6 = 186
5. Add the products together.
180 + 6 = 186
60 2
62 x 3 = ( x 3) + ( x 3) = 180 + 6 = 186
6. Check your work using the traditional method of multiplication.
62x 3
60 2 √
That wasn’t so bad! Let’s try another...
87 x 5
87 x 5
1. Write the multi-digit number in expanded form.
Another way of writing 87 is: 80 + 7
80 + 7
87 x 5 = ( x ) + ( x )
Since 87 is a two digit number, we need two sets of parentheses.
80 7 +
2. Set up your parentheses.
87 x 5 = ( x ) + ( x )
3. Multiply each part of the expanded number by the one-digit factor.
Multiply 80 by 5, and 7 by 5.
80 7 5 5
87 x 5 = ( x 5) + ( x 5) = +
4. Find the product to each multiplication problem.
80 x 5 = 400 7 x 5 = 35
80 7 400 35
87 x 5 = ( x 5) + ( x 5) = 400 + 35 = 435
5. Add the products together.
400 + 35 = 435
80 7
87 x 5 = ( x 5) + ( x 5) = 400 + 35 = 43580 7
6. Check your work using the traditional method of multiplication.
87x 5
√
Ready to try a few on your own?
I thought so. Try solving the problems on the worksheet,“Using the Distributive Property”