Whole Numbers : Large Numbers

maths > wholenumbers

Large Numbers

what you'll learn...

overview

In this page, the large numbers from $10$ $10$ to $1000$ $1000$ are introduced with the following important concepts.

• $10$ $10$ units grouped to $1$ $1$ ten.

• representation of numbers with units, tens, hundreds, thousands, etc.

This forms the foundation to understanding grouping, de-grouping, regrouping used in numerical arithmetics.

Grouping

In this page, the following are explained

• grouping of $10$ $10$ of units to $1$ $1$ ten

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

There are $10$ $10$ 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.

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

Numbers above 10

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).

tens and units

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)

Hundreds and Large Numbers

The number represented in the figure is $100$ .

Note that $10$ of purple blocks are grouped into an orange block. The orange block represents $100$ .

The number represented in the figure is $136$ .

The number represented in the figure is $721$ .

The number represented in the figure is $721$ . This provides a simpler form.

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 $28573$

Summary

The units, tens, hundreds, thousands, etc are explained and numbers upto $10000$ are introduced. whole number 10 The figure shows grouping of $10$ units to $1$ ten. This grouping is reversible and de-grouped when required. And, units can be regrouped into tens.

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

whole number 84 The figure shows the representation of $84$ in blocks. The figure shows number $84$ in abstracted form $8$ tens and $4$ units. whole number 100 The figure shows grouping of $10$ tens to $1$ hundred. whole number 721 The figure shows the representation of $721$ in blocks. The figure shows the representation of $721$ in hundreds, tens, units format. The figure shows the representation of $721$ in number format. whole number 5362 The figure shows $5361$ in numbers. Large Numbers : The digits in large numbers are

$1$ (units),
$10$ (tens),
$100$ (hundreds),

$1,000$ (thousands)
$10,000$ (ten thousands)

Outline

The outline of material to learn whole numbers is as follows

Note: click here for detailed outline of Whole numbers

• Introduction

→ Numbers

→ Large Numbers

→ Expanded form

→ Face and place values

→ Approximation and Estimation

• Comparison

→ Comparing two numbers

→ Number line

→ Predecessor & Successor

→ Largest & Smallest

→ Ascending & Descending

• Addition Subtraction

→ Addtion: First Principles

→ Addition: Simplified Procedure

→ Subtraction: First Principles

→ Subtraction: Simplified Procedure

• Multiplication Division

→ Multiplication: First Principles

→ Multiplication: Simplified Procedure

→ Division: First Principles

→ Division: Simplified Procedure

• Numerical Expression

→ Introducing Numerical Expressions

→ Precedence

→ Sequence

→ Brackets