How do you multiply 12 times 13 step by step step
There are lots of different ways.
perhaps the easiest to understand uses the distributive property
12 = 10 + 2
13 = 10 + 3
(10 + 2) (10 + 3)
= 10 (10+3) + 2 (10+3)
= 100 + 30 + 20 + 6
= 100 + 50 + 6
= 156
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You can shorten that by saying
10(13) + 2(13)
= 130 + 26
= 156
Another way (watch the video, then try it with your numbers):
http://www.khanacademy.org/math/arithmetic-home/multiply-divide/multi-digit-mult/v/multiplying-whole-numbers-and-applications-2
To multiply 12 by 13 step by step, you can follow these steps:
Step 1: Write down the number 12 and the number 13 below it, aligning the digits on the right side:
12
x 13
-------
Step 2: Start with the rightmost digit of the bottom number (3 in this case) and multiply it by each digit in the top number one by one:
12
x 13
-------
36
Step 3: Next, move to the left and multiply the digit 1 in the bottom number by each digit in the top number:
12
x 13
-------
36
+120
Step 4: Finally, add up the results from the previous steps:
12
x 13
-------
36
+120
-------
156
So, 12 multiplied by 13 equals 156.
In summary, to multiply two numbers step by step, you need to multiply each digit of one number by each digit of the other number, and then add up the partial products.