This page quickly reviews the numbers from `10` to `1000` and introduces *grouping* of `10` units to `1` ten. The grouping is further explained to understand units, tens, hundreds, etc. This is an important concept to understand numerical arithmetics.

*click on the content to continue..*

In this page, the following are explained

• *grouping* of `10` of units to `1` ten

• introduces the basics to representing numbers in place-value.

There are `10` blue colored blocks in the picture.

There are `10` blue color blocks in the picture. These blocks are packed into a purple block and marked `10`. In this course, the purple block is used to represent `10`.

Blue block represents `1` and the grouped purple block represent `10`. Consider that the smaller blue block is a lower place-value and the larger purple block is higher place-value.

Combining a `10` of lower place value into `1` of higher place value is *grouping*.

The word grouping means joining and combining together. The blocks were combined into one bigger block.

*familiarize with the terminology *

grouping

**Grouping**: `10` of a lower place value is combined to `1` of higher place value.

The number represented in the figure is `11`. The purple block is used to represent ten and additional block represents `1`. So, the total is `11`.

The number represented in the figure is `12`.

The number represented in the figure is `13`.

The number represented in the figure is `14`.

The number represented in the figure is `15`.

The number represented in the figure is `16`.

The number represented in the figure is `17`.

The number represented in the figure is `18`.

The number represented in the figure is `19`.

**Numbers above `10`: ** The numbers above 10 are

`11` (eleven),

`12` (twelve),

`13` (thirteen),

`14` (fourteen),

`15` (fifteen),

`16` (sixteen),

`17` (seventeen),

`18` (eighteen),

`19` (nineteen).

The number represented in the figure is `20`.

The number represented in the figure is `24`.

The number represented in the figure is `32`.

The number represented in the figure is `47`.

The number represented in the figure is `54`.

The number represented in the figure is `65`.

The number represented in the figure is `65`.

Instead of laying out all the blocks, the representation gives the count of each of the block. The blocks are of sizes `1`, and `10`.

The number represented in the figure is `70`.

The picture provides an equivalent form of representing `70`.

The number represented in the figure is `84`.

The picture provides an equivalent form of representing `84`.

The number represented in the figure is `97`.

The picture provides an equivalent form of representing `97`.

**Numbers in the tens:**

`10`(ten),

`20`(twenty),

`30`(thirty),

`40`(forty),

`50`(fifty),

`60`(sixty),

`70`(seventy),

`80`(eighty),

`90`(ninety)

The number represented in the figure is `100`.

Note that `10` of purple blocks are grouped into a orange block. The orange block represents `100`.

The number represented in the figure is `136`.

The number represented in the figure is `721`.

*familiarize with the terminology *

721

The number represented in the figure is `721`. Instead of providing a pictorial representation of the blocks, the value is given in words. The values are hundreds, tens, and units, equivalently representing blocks of size `100`, `10`, and `1`.

Numbers are represented as sequence of digits. If `721` is given, the number of digits are counted as `3` and the number is read as seven hundred and twenty one.

The number represented in the figure is `1000`.

`1000` is written as thousand.

The number represented in the figure is `5361`.

The number represented in the picture is `28573`

**Large Numbers : ** The digits in large numbers are

`1` (units),

`10` (tens),

`100`(hundreds),

`1,000`(thousands)

• `1000` thousands

• `10,000` ten thousands An example is given in the figure.

*switch to interactive version*