Teaching Resource

Numeral Expander for 3-Digit Numbers

In Mathematics Place Value Understanding Place

PDF | 1 page|Grades: 1 - 2

A resource to help reinforce place value and writing 3-digit numbers in expanded form.

Use this resource when teaching students that numbers can be created in a variety of ways and how to write 3-digit numbers in expanded form.

How To Use This Resource:

Print out a sheet of expanders for each student. Have them cut out each expander.
On one expander, write a 3-digit number placing each digit in a white box.
Starting with the first white box, fold the two gray boxes behind it, accordion style. You should now have the first two white boxes side by side.
Repeat this process for each set of gray boxes. When you are finished, you should only be able to see the white boxes forming your 3-digit number.

This resource allows students to see some of the different combinations that make your 3-digit number. For example, if your number is 982, by revealing different gray boxes you can see that it equals:

982 ones
98 tens and 2 ones
9 hundreds and 82 ones
9 hundreds 8 tens and 2 ones

Allow students to use base-10 blocks to model each combination. This resource works well when teaching students this concept in guided math groups.

Common Core

Common Core Curriculum alignment

CCSS.MATH.CONTENT.1.NBT.B.2
Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:
In Grade 1 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value
CCSS.MATH.CONTENT.1.NBT.B.2.A
10 can be thought of as a bundle of ten ones — called a "ten."
In Grade 1 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value CCSS.MATH.CONTENT.1.NBT.B.2
CCSS.MATH.CONTENT.1.NBT.B.2.B
The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
In Grade 1 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value CCSS.MATH.CONTENT.1.NBT.B.2
CCSS.MATH.CONTENT.1.NBT.B.2.C
The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).
In Grade 1 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value CCSS.MATH.CONTENT.1.NBT.B.2
CCSS.MATH.CONTENT.2.NBT.A.1
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:
In Grade 2 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value
CCSS.MATH.CONTENT.2.NBT.A.1.A
100 can be thought of as a bundle of ten tens — called a "hundred."
In Grade 2 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value CCSS.MATH.CONTENT.2.NBT.A.1
CCSS.MATH.CONTENT.2.NBT.A.1.B
The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).
In Grade 2 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value CCSS.MATH.CONTENT.2.NBT.A.1
CCSS.MATH.CONTENT.2.NBT.A.3
Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
In Grade 2 Standards for Mathematical Practice Number & Operations in Base Ten Understand place value

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