My son's homework asks us to find the product by factoring the tens. The problem is 6 x 2, 6 x 20 and 6 x 200. I see how to do 6 x 2 (memory factor) and the 6 x 20 would be (6 x 2) and (1 x 10) then 12 x 10 = 120 but how does he show his work for 6 x 200 factoring by tens? Help
My daughters homework asks us to find the product by factoring the tens. The problem is 6 x 2, 6 x 20 and 6 x 200. I see how to do 6 x 2 (memory factor) and the 6 x 20 would be (6 x 2) and (1 x 10) then 12 x 10 = 120 but how does he show his work for 6 x 200 factoring by tens? Help
1200
To factor 6 x 200 by tens, your son can break down 200 into its factors of 10.
Step 1: Start by breaking down 200 into two parts: 10 and 20.
Step 2: Next, multiply 6 by 10 and 6 by 20 separately.
6 x 10 = 60
6 x 20 = 120
Step 3: Now, add the two products together.
60 + 120 = 180
Therefore, 6 x 200 = 180.
So, the final step-by-step breakdown of 6 x 200 factoring by tens is:
6 x 200 = (6 x 10) + (6 x 20) = 60 + 120 = 180.
To show the work for factoring by tens, you can use the distributive property. Here's how you can approach the problem of 6 x 200:
Step 1: Recognize that 200 is composed of two tens.
Step 2: Rewrite 200 as 100 + 100.
Step 3: Now, apply the distributive property of multiplication over addition. Multiply 6 by each component of the addition individually.
6 x (100 + 100) = (6 x 100) + (6 x 100)
Step 4: Multiply the individual products:
(6 x 100) + (6 x 100) = 600 + 600 = 1200
So, the product of 6 x 200, factoring by tens, is 1200.