# Modeling Decimal Multiplication

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### 6 Responses to Modeling Decimal Multiplication

1. Erykah says:

thank u for the help it really helped me alot!!! Thanks

2. Alyssa Sobba says:

I am confused with the decimal multiplication examples. I am getting ready to teach this next week and am looking for meaningful activities. You are saying that 1 small square out of 100 is 0.01 (one hundredth), yet you are using it as a tenth when coloring it in. For example, 0.3 x 0.7 was shown as 3 squares colored in by 7 squares, and the rest filled in; basically an array. You also use the small squares as both tenths and hundredths in the third picture. I understand how you got the answers, but I’m not sure if the pictures show the true representations of each number in the equations. Let me know if there is something I am missing, because I would really like to use this in class, but I’m not sure my students would understand it.

• Andrea Kerr says:

It’s three out of each ten (in the row of ten) times seven out of each ten (in he column of ten) is twenty-one out of the whole hundred. Does that make more sense? Thanks for the question!

• Gus says:

I respectfully disagree. You have created an array, hence why you get the correct answer. The visual doesn’t show three tenths –otherwise you’d have 30 squares shaded in. It also doesn’t show seven tents because that would require 70 squares. What you forgot is that you are multiplying .3 of .7. You could’ve shaded 3 tents vertically, seven tents horizontally and the common shaded area would be your 21 tenths.

• Ebb says:

Yes, I agree with Gus. What you have showing in that pink grid for .70 x .30 is only where the two decimals would intersect on the graph. The 0.70 should show 7 columns with 10 squares each colored. Then the 0.30 should show 3 rows of 10 cubes in each row colored. After you color the 7 columns of 10 rows you go back to the top right corner of that graph and color 3 rows of 10 cubes. The intersecting portion is the answer .21 as Gus was saying.