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Lesson 6: Multiplying decimals

# Multiplying challenging decimals

Learn to multiply decimals easily by treating them as whole numbers first. Multiply the numbers without decimals, then count the total decimal places in both original numbers. Add the same number of decimal places to the product, and you'll get the correct answer for the decimal multiplication. Created by Sal Khan.

## Want to join the conversation?

• If it is a zero is it necessary to multiply that too.
• yes. Multiplying anything by 0 equals 0
• Instead of 32.12*.5, cant u do 32.12/2=16.06, because .5 = 50%=50/100=1/2 and 32.12*1/2=32.12/2
• yes, you can
• if 8x7=56, then 0.08x0.007=
• It'd be 0.00056. By doing 8 x 7= 56, you have multiplied by 10,000 to get to the left.
So you must go back 5 decimal places to the right.
• How to multiply 92.3 times 15.04
• Basically, do the same thing that Sal shows. First multiply 923 times 1504 so it is easy to multiply. Since you moved the decimal to the right once in 92.3 and twice in 15.04 that means you moved the total number three decimals to the right, or you basically multiplied it by 1000 in total. So that means with your current answer, divide by 1000, or move the decimal to the left three times, and you have your answer!
• How is the answer smaller when you multiply decimals??
• Here's an example of how it works. If you multiply 0.5 times a half (or 0.5 again), you will get half of 0.5 because you are multiplying it by a number less than one.
• so how about 2.3576 x 57.09
• Multiply 23,576 x 5,709, then move the decimal point 4+2=6 places to the left in the end.

Have a blessed, wonderful day!
• how am i sopposed to add this to my lessions?
(1 vote)
• you take the stuff you learned in this lesson and use it in your book