# Decimals

In grade 4, students explore decimals to tenths and add & subtract them using intuitive methods.  This is really a foundational year for understanding decimals.

In grade 4 decimals, there are several critical understandings that students need to explore and understand.

 1 Tenths In grade 4, students need to understand that the first decimal place is just where we put one kind of fractions – tenths.  They should be able to move flexible between recording a number as 3 1/10 and 3.1 2 Unitizing This is the general principle that in our number system, you need ten pieces or a group of ten to make one of the unit to the left.  That is, 10 tens make a hundred, 10 singles make a ten, 10 tenths make a whole, etc.  Conversely, the pieces get 10 times smaller as you move right. 3 Multiple Representations 1.7 can be represented as 1 whole and 7 tenths, but students also need to see that it could be thought of as 17 tenths. The Toss a Decimal activity below is a good way to practice this. Additionally, students need to move flexibly between concrete, visual oral, and decimal and fractional expressions of decimal numbers.

 Decimal Flashcards A variety of decimal representations that can be shown to students for them to reply with a different representation. Decimal Bingo Bingo sheets for students to fill in with calling cards. Toss a Decimal This an activity where students use popsicle sticks to create random groups of tenths and hundredths and write the decimal representation. It can include a lot of regrouping and really show student understanding of place value.