Here the situation or prompt:

you exercise 24 hours each month for a year how many hours did you exercise by the end of the year you may be able to do the math mentally thanks to expanded notation and the distributive property

Okay can someone check my work I need it right now please😭

With distribution
12(12+12)=
144+144=
288

Without distribution
12(12+12)=
12(24)=
288

My teacher said write the top part 12(12+12)= on both slides w and w/o distribution so just please let me know I just need it checked

Hold on, I can check your work!

You are right on both of your works!

Omg really thanks!!!!!!!!

Ms. Sue you got anything? Please ms sue I'm not cheating I want you to check if I'm right. I already did the work so I'm not cheating just pls check😭😭😭😭

Anyone???

Sure, I'd be happy to check your work. Let's go step by step:

With distribution:
12(12+12) means you need to distribute the 12 to both terms inside the parentheses. So it becomes 12*12 + 12*12.
12*12 equals 144, and 12*12 also equals 144.
Adding them together, you get 144 + 144 = 288.

Without distribution:
12(12+12) means you can add 12 and 12 first and then multiply the sum by 12.
12 + 12 equals 24.
Then you multiply 24 by 12, which gives you 288.

So, both methods are correct, and your calculations are accurate. You have resolved the problem correctly by correctly using the distributive property in one case and by simplifying the expression in the other case. Well done!