The Place Value Shuffle

Yep! Today we had fun learning about place value. Now we can understand and explain the value of digits.

What's a digit?

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What's place value?

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If you're looking for a place value song to sing for the next 3 months, here you go!

Place value, place value, movin' to the left...

I can dig that groovy beat.

That leads us to the Place Value Shuffle! 

Put on your dancin' shoes!

In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right. A number in standard form is separated into groups of three digits using commas.

This chart shows the value of each digit in a large number. Each number value is 10 times greater than the number on its right.

Going the opposite direction… each digit is 1/10 of the digit on its left.

That's it! You've got it!

Moving on...

Next we talked about finding the value of a digit within a big number. To figure out the value you have to look at all of the numbers from right to left.  You start with the ones place and multiply by 10 for each digit to the left. A quick way to do this is to count the digits to the right of the number you are finding the value of. Then replace those digits with ZEROs.

We're finding the value of 9, so we can replace the digits to the right of 9 with 0s. The value of 9 in 196,528,347 is 90,000,000 or ninety million! Click here for a tutorial review of how to find a value of a digit.

For more Place Value fun, check out these games!

Mathman Digit Value Game

Place Value Card Game

Place Value Puzzler
Place Value Hockey

Keep up the great work!

Ben Ten Form (Not)

As we continue on with our decimal unit, we come across an interesting fact. There are many ways to write numbers.

We are going to focus on three:

Standard

Written

Base-10

Here is an example of a written number using each method:

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Standard form is just how it sounds. Standard. This is how we usually write numbers when solving math problems. Pretty standard stuff.

We can also write a number out in words. When doing this, it helps to say the number aloud. Then write what you hear. If there is a decimal, you write "and." That's the only time "and" should be in the written form of the number.

This video will help explain how to read a number that includes a decimal.

Next up is Base-10 Form.

Base-10 numbers are written as products added together. Use place values to help you. Imagine collecting base-ten blocks to show the value of the number. Essentially, that's how this form breaks down.

Here's a comparison:

Now you're getting the hang of it.

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Check out these helpful games and resources! 

Read and Write Decimals

Mathman: Expanded Form Game

5.NBT.3 Worksheets

Decimals of the Caribbean 

Learn Zillion Lessons

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Please make sure your math notebook is up to date before our next class! Check the archives on the left for past math lessons.

Keep up the great work!