How do you multiply three-digit numbers by other three- digit numbers?

39,375

Step-by-step explanation:

  So we are going to multiply 375 by 105. First we are going to multiply five by  five which =25 so we put our five nd carry out 2 over the seven.

          2  

        375

     x  105

             5

Then, we multiply 5 by 7 which =35 + 2 = 37. So we put our seven and carry our three.

    32  

    375

x   105

      75

Next, we multiply 5 by 3 which is 15 + 3 = 18 so we put down our 18 becuase we cant carry the one to another number.

    32  

    375

x   105

  1,875

Now, we put a zero before we start because each time we make a new line we have to add a zero first  

    375

x   105

  1,875

         0

Now we can start multiplying again. So 0 x 5 = 0 so we put our next zero. Then 0 x 7 = 0, put another zero. then 3 x 0 = 0, put our last zero.

    375

x   105

  1,875

   0000

Okay, now time to multiply by one. Before we start because we started another new line we put 2 zeros because its our third line.

  375

x   105

  1,875

   0000

        00

Now we may begin multiplying by 1. 1 x 5 = 5. Then, 1 x 7 = 7. Finally 3 x 1 = 3

    375

x   105

  1,875

  0000

37,500

Now we add up 1,875 + 37,500

    1,875

+37,500

 0 + 5 = 5 so we put our 5. Then 7 + 0 = 7 so we put our seven.

    1,875

+37,500

         75

Then 8 + 5 = 13 so we put our three and carry our one.

    1

    1,875

+37,500

        375

Then 1 + 7 + 1 = 9 so we put our 9. And finally drop down the 3

 1,875

+37,500

  39,375

ALL DONE! Our answer is 39,375

Its always good to check with a calculator to make sure you are correct.

step-by-step explanation:

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.