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.
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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.