My son's math homework asks him to find each product by factoring the tens. 6 x 2, 6 x 20 and 60 x 20. There is no explaination in the book..can you help?
Factoring the tens is a technique for mental multiplication which relies on the fact that 10*n, for any real number n, is easy to compute.
6*2 = 12 is a memory value.
6*20 = 6*2*10 = 12*10 = 120
60*20 = 6*10*2*10 = 12*10*10 = 1200
I need help to
6x20=6x2x_____
My bs math home work
Certainly! I can help. To find each product by factoring the tens, you need to understand how to multiply numbers using the distributive property.
The distributive property states that for any real numbers a, b, and c, a multiplied by (b + c) is equal to a multiplied by b plus a multiplied by c.
Let's apply this property to the given equations:
1) 6 x 2:
To factor the tens, we can rewrite 6 as (2 x 3). Now we have (2 x 3) x 2. Using the distributive property, we can multiply each factor separately: (2 x 2) + (3 x 2). Thus, 6 x 2 = 4 + 6 = 10.
2) 6 x 20:
To factor the tens, we can rewrite 20 as (2 x 10). Now we have 6 x (2 x 10). Applying the distributive property, we multiply each factor separately: 6 x 2 + 6 x 10. This gives us 12 + 60 = 72.
3) 60 x 20:
To factor the tens, we can rewrite 60 as (6 x 10). Now we have (6 x 10) x (2 x 10). Again, using the distributive property, we multiply each factor separately: (6 x 2) x (10 x 10). This simplifies to 12 x 100, giving us a product of 1200.
By factoring the tens in each equation and applying the distributive property, we find that 6 x 2 = 10, 6 x 20 = 72, and 60 x 20 = 1200.
I hope this explanation helps your son with his math homework! Let me know if you have any further questions.