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Explanation of how digits have different values depending on their place (ones, tens, hundreds) 3.NPV.1

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Digits change value depending on their position in a number. The same digit can mean very different amounts depending on whether it is in the ones, tens, or hundreds place.

Ones place: The digit shows how many ones are in the number.
Example: In 247, the 7 means 7 ones.

Tens place: The digit shows how many groups of ten are in the number.
Example: In 247, the 4 means 40 (4 tens).

Hundreds place: The digit shows how many groups of one hundred are in the number.
Example: In 247, the 2 means 200 (2 hundreds).

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Video explanation for understanding Place Value

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Video explanation for understanding Place Value

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This video goes into depth about place value concepts including rounding, adding, and subtracting fluently through 1000 using place value, properties of operations, and the relationship between addition and subtraction.

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3rd Grade - Math - Place Value - Topic Overview

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What is Base 10?

Our number system is called base 10 because it is built on tens. Every time we collect 10 of something, we make a new group in the next place value.

How It Works with Blocks:

Ones blocks (small cubes): Each cube stands for 1.

Tens rods (a stick made of 10 cubes): Each rod stands for 10 ones.

Hundreds flats (a big square of 100 cubes): Each flat stands for 100 ones or 10 tens.

Example:

If we have the number 243:

2 hundreds = 200 (two flats)

4 tens = 40 (four rods)

3 ones = 3 (three cubes)

So, 243 = 200 + 40 + 3.

Why It’s Important:

The base-10 system helps us:

Break apart numbers into hundreds, tens, and ones.

Build numbers using blocks, drawings, or place value charts.

Understand that each place is 10 times bigger than the place to its right.

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Now you try!

Directions: On a piece of paper write the problems out and solve. Show your work and thinking through expanded form or using base 10 method or model.

Problems:

What is the value of the 8 in the number 486?

In the number 739, what digit is in the tens place?

Write the number that has 5 hundreds, 3 tens, and 2 ones.

What is the value of the 4 in the number 4,215?

In the number 692, which digit is in the ones place?

Write 643 in expanded form.

Which number has a 7 in the tens place?
a) 372
b) 705
c) 517

The number is 825. How many hundreds are in this number?

Fill in the blank:
4 hundreds + 2 tens + 9 ones = ________

A number has 9 ones, 4 tens, and 6 hundreds. What is the number?