Number Expression: Standard, Word, and Expanded Form

Contributor: Ashley Nail. Lesson ID: 13104

Say "hello!" to numbers and learn the different ways to express them. Write up to six-digit numbers in standard form, word form, and expanded form before playing a fun number game!

categories

Whole Numbers and Operations

subject
Math
learning style
Kinesthetic, Visual
personality style
Lion, Otter
Grade Level
Intermediate (3-5)
Lesson Type
Quick Query

Lesson Plan - Get It!

Audio:
  • Did you know that you can communicate Hello! in several different ways?

For example, in Spanish, you would say ¡Hola! In French, you would say Bonjour! In Japan, people say Kon'nichiwa!

hello symbols

Humans even have hand motions to tell each other Hello! I bet if you wave to your friends, they understand what you are saying without you even having to speak!

Depending on the language you are speaking or the situation you are in, there are many different ways to communicate Hello!

  • Numbers are similar!

For example, can you think of different ways to express the number 142?

You already know a few ways to communicate a number! For example, by writing 142, you are expressing that number in its standard form.

You can write the number 142 in words. This is called word form.

word form

You also know you can communicate the number 142 by drawing a picture. You could draw 142 individual objects.

You can also express 142 by using place value blocks and grouping the number into hundreds, tens, and ones.

place value blocks

Remembering what we know about place value, we can also express the number 142 in expanded form. For example, if we look at our place value blocks, we notice that there are one hundred-blocks, four ten-blocks, and two one-blocks.

One hundred-block equals 100. Four ten-blocks equals 40. Two one-blocks equals 2. If we add those values together, we have a sum of 142!

expanded form

So, by writing the number in expanded form, we are expressing the value of the number by showing how many hundreds, tens, and ones make up the total value of the number.

Let's look at all of the forms of the number 142:

number forms

Now, let's try finding the different forms of even larger numbers!

Let's look at the number 25,736.

We already know the standard form.

standard form

Next, let's find the word form for 25,736.

The best trick to finding the correct word form of a number is to say it out loud and listen to how you say it.

You notice a comma in the number, so you know you are in the thousands place. To start, you would say twenty-five thousand.

twenty-five thousand

When you get to the comma, you now know you are now in the hundreds place. You see the number seven hundred thirty-six.

seven hundred thirty-six

Now, just put the two parts together, and you have twenty-five thousand, seven hundred thirty-six.

As you write the number, make sure you place the comma back in the same place.

standard and word forms

Lastly, we need to find the expanded form for 25,736.

Let's look at 25,736 in a place value chart.

place value chart

  • The 6 is in the ones place. So, if we picture our place value blocks, there would be six one-blocks.
  • The 3 is in the tens place, so there would be three ten-blocks.
  • The 7 is in the hundreds place, so there would be seven hundred-blocks.
  • The 5 is in the thousands place, so there would be five thousand-blocks.
  • Last, the 2 is in the ten thousands place. You know the drill by now, there would be two ten thousand-blocks!

place values

We can now look at our place value chart and add all of our place values together to show 25,736 in expanded form.

Our Number Forms Chart is now complete!

number forms chart

  • Want to practice on your own?

Move to the Got It? section to try and find the different forms of numbers!

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