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Virtual Nerd: How Do You Subtract Decimals? 

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Virtual Nerd: How Do You Subtract Decimals? 

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Virtual Nerd: How Do You Multiply Decimals? 

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Virtual Nerd: How Do You Multiply Decimals? 

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Adding, Subtracting, Multiplying, and Dividing Decimals "

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Mental Math - combine decimal numbers
Problem Solving - find several ways to make a target value

Common Core Connection for 5th Grade

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

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Hungry Puppies Decimals | Math Playground

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Mental Math - combine decimal numbers Problem Solving - find several ways to make a target value Common Core Connection for 5th Grade Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

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To add decimals, follow these steps:

Write down the numbers, one under the other, with the decimal points lined up

Put in zeros so the numbers have the same length (see below for why that is OK)

Then add, using column addition, remembering to put the decimal point in the answer

Example: Add 1.452 to 1.3

Example: Add 3.25, 0.075 and 5

That's all there is to it: line up the decimal points, pad with zeros, then add normally.

Subtracting

To subtract, follow the same method: line up the decimal points, then subtract.

Example: What is 7.368 − 1.15 ?

To check we can add the answer to the number subtracted:

Example: Check that 7.368 minus 1.15 equals 6.218

Let us try adding 6.218 to 1.15

It matches the number we started with, so it checks out.

Putting In Zeros

Why can we put in extra zeros?

A zero is really saying "there is no value at this decimal place".

In a number like 10, the zero is saying "no ones"

In a number like 2.50 the zero is saying "no hundredths"

So it is safe to take a number like 2.5 and make it 2.50 or 2.500 etc

But DON'T take 2.5 and make it 20.5, that is plain wrong.

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Adding decimals is easy when you keep your work neat

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Math Video | Multiplying Decimals | MathPlayground.com

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Math video teaches students how to multiply decimals.

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Multiply without the decimal point, then re-insert it in the correct spot!