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.