Base Ten Number System
Lesson
Topic Index | Grade 5 Math | Intermediate Test Prep | StudyZone

You can show numbers using base-ten blocks to model a number.

This is the 1-block or unit block the smallest of all the blocks.

This is the 10-block corresponding to 10 units.  It is also referred to as a rod or long.

This is the 100-block and corresponds to 100 units. It is also called a flat.

This is the 1000-block and corresponds to 1000 units.

Here are some numbers represented using base ten blocks.

10 ones
 

 

=

 


1 ten

 


10 tens

=


1 hundred
 

 

10 hundred

= 1 thousand

 

 

 

 

 

10 thousands

=

Ten Thousand

 

 

 

 

 

x 100   One Hundred Thousand
x 1000   One Million

Numbers are made up of digits in the same way that words are made up of letters.

These words are called place value headings.

hundreds tens ones
3

3 x 100 = 300


2

2 x 10 = 20

 


5

5 x 1 = 5

 

 

3 hundreds

2 tens 5 ones

The number 325 is made up of :
five ones
two tens
and three hundreds

 

Use the 1,000 block to make up hundred thousand, ten thousand or thousand number.

hundred thousands ten thousands thousands
7

7 x 100 x 1,000 = 700,000

 

6

6 x 10 x 1,000 = 60,000

 


 

4

4 x 1,000 = 4,000

 

 

700 thousands

60 thousands 4 thousands

 

Use the base ten blocks to model the following number: 19 + 1 = 20

  + = once you have 10 unit cubes you can trade the 10 unit cubes in for a rod.

Now it would look like this

20
20 have 2 groups of ten (or rods)

 

Remember: To find the value of each digit, multiply the digit by its place-value position. In 5,432,678 the value of the 5 is 5 x 1,000,000, or 5,000,000.

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