STUDENTS WERE PUT INTO 6 GROUPS OF 12. WHICH WAY TO FIND 6 X 12? (3-6)

Explain...thank you..

A.(3 x 10)+(3 X 2)
B.(3 X 6) +(3 X 6)
C.(6 X 10)+(6 X 2)
D.(6 X 12)+ (6 x 12)

a 5 b 3 c 7 d 38

This is based on the distributive property of multiplication over addition.

For example, the product 6*12 can also be expressed as
6*(9+3)=6*9 + 6*3
The total is still 72.
If you go back to the queston, and check the answers, there is only one that gives a total of 72, that's the first clue. Another way to find it is find an answer that has the same form as the one above, but the sum of numbers multiplied by 6 adds up to 12. This gives you a confirmation.
If you want to be absolutely certain, you can post your answer for a verification.

choose the answer from A, b, c, or d.

thank you

So which one did you choose, and why?

To find the solution to the problem of putting students into 6 groups of 12, we need to find the product of 6 and 12. Let's go through the options given and explain how each one could be used to find the answer.

A. (3 x 10) + (3 x 2): This option breaks down the numbers 6 and 12 into smaller, easier to calculate parts. We can think of 6 as the sum of 3 and 3, and 12 as the sum of 10 and 2. So, we multiply 3 by 10 and 3 by 2, then add these results together.

B. (3 x 6) + (3 x 6): In this option, we multiply 3 by 6 twice and then add the results together. This approach assumes that 6 can be easily multiplied by 3 and that the same result applies for both multiplications.

C. (6 x 10) + (6 x 2): Similar to option A, this approach splits the numbers 6 and 12 into smaller parts. Here, we can think of 6 as the sum of 6 and 0 and 12 as the sum of 10 and 2. We then multiply 6 by 10 and 6 by 2, and add these results together.

D. (6 x 12) + (6 x 12): This option simply multiplies 6 by 12 twice and adds the results together. It assumes that 6 groups of 12 can be calculated by multiplying 6 by 12 directly.

To find the correct approach, we can calculate each option and see which one gives us the correct answer. So, let's do the calculations:

A. (3 x 10) + (3 x 2) = 30 + 6 = 36
B. (3 x 6) + (3 x 6) = 18 + 18 = 36
C. (6 x 10) + (6 x 2) = 60 + 12 = 72
D. (6 x 12) + (6 x 12) = 72 + 72 = 144

By comparing the calculated values with the given problem, we can see that options A, B, and D do not match the problem statement of putting students into 6 groups of 12. The correct option is C, which gives us the answer of 72.

Therefore, the correct way to find 6 x 12 in this context is: (6 x 10) + (6 x 2) = 60 + 12 = 72.