I taught 5th grade math last year and many students struggled with multiplying decimals. The important thing to remember is that multiplying decimals with a number in the ones place is really the same concept as multiplying whole numbers. However, multiplying
decimals such as the example 0.47 x 0.18 = t is a bit tricky because what you are actually solving is the question
what fraction is 0.18 of 0.47. The "of" means multiply, but the result is a fraction that is SMALLER than 0.18 and 0.47, so it's more like dividing. The best way to understand these problems is using recipes. For
instance, if I need to find 1/4 of a 1/2 cup, then I multiply 1/4 x 1/2, or in decimal form: 0.25 x 0.5. The answer, of course, will be 1/2 cup divided into 4 parts, which is 1/8 of a cup (0.125).

That is the understanding part. Here is the solving part (which is probably what you did already):

0.47

x 0.18

376 (note: don't worry about the decimal point until the END)

+47

846

Now go back to the original numbers and count the TOTAL number of digits to the RIGHT of the decimal point. 0.47 and 0.18, there are 4 digits, so you need to count 4 place values from right to left like this:

start one two three four

846. ---> 84.6 ---> 8.46 ---> 0.846 ---> 0.0846

Now there are four digits to the right of the decimal point: 0.0846, so t = 0.0846

For the word problem, you will do the same thing. Make sure you line up the numbers so that they look like this:

29.5

x 0.26

Don't worry about where the decimals are. If it's easier, just write it without the decimals:

295

x 26

Once you solve this, just remember to place the decimal in the right place!

## Comments

Rachel W. YOU ARE WONDERFUL! Thank you so very much. I get it and now I can explain it to my son. I think he was getting frustrated at me not understanding how to help him understand. (if that makes sense) Moms are supposed to know Everything and when we do, they don't listen. But when we don't, boy are we in trouble.

Thank you so much!

Tracy Richards, Crete IL

You are very welcome! It's so good to know that parents like you are really trying to be a part of your child's education. I saw a lot of kids struggle last year, especially with math, because parents did not take the time to help their kids. Keep on helping your son understand math! It's so important for kids to understand the WHYs and not just the HOWs of mathematics. =)

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