# Multiplying whole numbers and decimals using an area model

## Area Model Decimals Modeling Multiplying Decimals Due Wednesday 9/10

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Embed a running copy of this simulation. Use this HTML to embed a running copy of this simulation. You can change the width and height of the embedded simulation by changing the "width" and "height" attributes in the HTML. Embed an image that will launch the simulation when clicked. Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into smaller areas and discover new strategies for multiplying decimals! Share an Activity!

See All. See All Free Gizmos. Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece partial product.

Oct 30, For more complex numbers, you can convert the decimal numbers to whole numbers and then find the product using whole number area model.
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Learn more about this. In this lesson, students will use area models to show that multiplying a whole number by a decimal creates a product that is only part of the original whole. How many of you have ever bought something that was on sale? How many of you have received allowance from your parents, and been told you need to save a part of the money? Today we are going to explore finding part of a group by multiplying decimals by whole numbers. Write the problem 2x3 on the board. Remind students that the first number tells you how many groups, while the second number tells you the number of items in each group.

## Multiplying Decimals (Area Model)

multiplying decimals area model

## Multiplying decimals using an area model

Time to bring out the base blocks. First, we needed to establish the value of the base blocks. When using base blocks with whole numbers, the flat typically represents , the rod represents 10, and the cube represents 1. But when we shift to decimals, the materials take on new values. With decimals, the flat becomes the whole, meaning that it is now 1.

It is important that your children gain an understanding of place value when multiplying decimals. Below are examples to help develop this understanding. They include the use of place value charts with counters, Base blocks, and an area model. The first two examples above do not require regrouping although those that follow do. Your children should build on their understanding of whole number place vale and be able to see that, for example, 13 hundredths can be regrouped as 1 ten and three hundredths, and that 17 tenths can be regrouped as 1 whole unit and 7 tenths. Help your children to model decimal multiplication using counters on a place value chart regrouping 10 smaller units as one unit ten times larger.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Arithmetic Decimals Multiplying decimals. Intro to multiplying decimals. Developing strategies for multiplying decimals. Multiplying decimals: place value.

## Multiplying Decimals: Finding Part of a Whole

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by Donna Boucher | 5th grade, area model, CRA, decimals, manipulatives, Shifting from multiplying whole numbers to multiplying decimals is a huge shift, When using base blocks with whole numbers, the flat typically represents , .
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## 3 thoughts on “Multiplying whole numbers and decimals using an area model”

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In this lesson you will learn how to multiply decimals by whole numbers by using an area model.