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:

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

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.”

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

For more great place value ideas, check out my Place Value Board on Pinterest!

## 4 thoughts on “Expanded Notation Made Easy(ish)”

1. That’s a great hands-on way of explaining a concept that I really abstract. Thanks for the great idea!

Like

2. I cannot think of a more fabulous way to teach expanded notation to 8 year olds. Do you also use the play money for teaching place value?

Like

• Mrs. Kirk

Thank you! I also use the play money (along with blocks) to reinforce place value! My students love the play money!

Like

3. 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