Expanded Notation Made Easy(ish)

I am not sure when I learned how to write numbers in expanded notation, but I am certain it was not in 3rd grade. Students now are expected to learn how to write numbers in expanded notation as early as 3rd grade here in Texas and I am sure that applies to other states as well.  But why?  It is part of a push to help students understand the relationships between places and digits in our base ten number system.  It can seem difficult at times, but with hands on activities and a lot of practice, your students can master expanded notation.

One method I find to be very effective is using play money:

expandedformusingmoney

Give your students a number. Guide them to use their play value money to model the number.

expanded hundred thousands.png

Then ask them “Ask “How many hundred thousands?” Tell “Expanded notation shows the number in each place times the value of the place, so 3 hundred thousands is 3 x 100,000.”

expanded notation money.png

Continue questioning and guiding students to use play money to help them write the numbers.

free place value money

You can download my play money for FREE by clicking the picture below.

 

 

4 thoughts on “Expanded Notation Made Easy(ish)

  1. This looks like a really clear way to explain a complex idea to young kids (and older ones who are still confused by it as well). I like your play money with a different color for each place value.

    Like

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s