Numbers

 Mind Maps

Class III - maths: Numbers
Q) Write the numeral for two hundred two?

Q) Write the number name for 353?

Q) Write the number just before for 399?

Q) Write the number just after for 120?

Q) Write the short form for 200 + 10 + 50 = ___?

Q) Write the numerals for 9 tens + 5 ones = ___?

Q) Find the greatest number of 218 and 281?

Q) Find the smallest number of 110 and 89?

Q) Write the answer about yourself in roman numerals for I study in class ___?

Q) Write the roman numerals for 9?

Q) Write the number Name for 957?

Q) Write the number just before for 111?

Q) Write the number just after for 486?

Q) Write the numerals for 1 hundreds + 7 tens + 9ones = ___?

Q) Write the short form for 800 + 520 + 410 = __ ?

Q) Write the roman number for 12?

Q) Write the answer about yourself in roman numerals forMy date of birth is___?

Q) Write the hindu-arabic numerals for XV?

Q) Find the greatest number in each pair 9763 and 3697?

Q) Find the smallest number in each pair 726 and 834?

Q) Write the hindu-arabic numerals for XIV?

Q) Write the roman numerals for 6?

Q) Write the numerals for 10 tens + 6 ones = ___?

Q) Write the numeral for five hundred ninety nine?

Q) Write the number Just before and after for 671?

Q) Write the expanded form for 964?

Q) Write the following in ascending order 965+789+145+856+960?

Q) Write the following in descending order 456+852+324+75+32?

Q) Counting twos, write the numbers between 6058 and 6065?

Q) Counting fives, write the numbers between 1230 and 1245?

Q) Counting tens, write the numbers between 2560 and 2570?

Q) Counting hundreds, write the numbers between 9830 and 9840?

Q) Write the following in the expanded form 1235?

Q) Write any five even numbers between 3000 and 4000?

Q) write any five odd numbers between 6500 and 7500?

Q) Write the predecessor and successor for ____ 4589 ____?

Q) Arrange in ascending order 5538,5583,5566?

Q) Write the predecessor and successor for ____ 7999 ____?

Q) Write the following in the expanded form 8595?

Q) Write in the hindu- arabic system (a) XIV (b) XXV (c) XXXI

Q) Find the place value of the digits in 7608?

Q) Find the face value of the digits in 2847?

Q) Find the smallest number for 183,639,304,293,560,621?

Q) Write all the numbers that come in between 8560 and 8580?

Q) Arrange in ascending order 5682,8592,7846,.9565,7985?

Q) Arrange in descending order 963,123,423,426,456?

Q) Write all the numbers that between 9620 and 9650?

Q) Predecessor by substracting 1 from the given number for 8546,25,12?

Q) Arrange in descending order 7118,6232,5261?

Q) Successor by substracting 1 from the given number for 21,6726,531?

4 digit numbers

You have learnt numbers up to 999. You have also learnt that 999 is the greatest 3-digit number

999= 9 hundred+9 tens+9 ones+ 1 one = 1000
=9 hundreds+9 tens+ 10 ones = 1000
=9 hundreds+9 tens+1 ten = 1000
=9 hundreds+10 tens = 1000
=9 hundreds+1 hundred = 1000
= 10 hundreds = 1000

1 thousand is written as 1000.
1000 is the smallest 4-digit number

Each number after 1000 can be obtained by adding 1 to that number.
Look at some of the numbers.
1000 +1 =1001 (one thousand one)
1000+2=1002(one thousand two)
1000 +3=1003(one thousand three)

The following are few numbers up to 9999

1074+1= 1075 (one thousand seventy-five)
1235 +1=1236(one thousand two hundred thirty-six)
9998+1=9999(nine thousand nine hundred ninety-nine)

9999 is the greatest 4-digit number.

Counting in thousands

If there are ten bunches of sticks, it will,

Forming numbers

The smallest 4-digit number is 1000 and the numbers beyond 1000 should have a minimum of 4 digits.
To write a 4-digit number we should add one more place to the left of the hundreds place.

Example:

Write the numbers and number names of the following

It is read as one thousand seventy- one.

Numbers on the abacus

An abacus is a counting tool. We can read the numbers shown on an abacus.
Each of the abacuses given below has four rods.
The first rod from the right is for the ones, the second for the tens, the third for the hundreds and the last rod is for the thousand places.

Place value And Face value

### Place Value:

The value of a digit depends on its place or position in the number.
As the digit moves to the left, its value increases.
If it moves one place to the left, its value increases ten times
. For example, the value of the first place from the extreme right is 'one'; the value of the place to its left is 'ten' which is 10 times of 1.
The value of the place to the left of the tens place is 'hundred', which is 10 times of 100, and so on.

Example:

Find the place value of the digits in 2847.

Solution:

The place value of 7 in 2847 is 7 ones

• The place value of 4 is 4 tens, 40.
• The place value of 8 is 8 hundreds, 800.
• The place value of 2 is 2 thousands, 2000
 TH H T O 2 8 4 7

### Face Value:

The value of an individual digit is called its face value.
Face value of a digit is the same as the digit itself.

For example, face value of 4 in 45 is 4 and the face value of 8 in 896 is 8.

Example:

find the place value and face value of the digits in 7608.

Solution:

The place value of 8 is 8 ones, i.e., 8.

• The face value of 8 is 8.
• The place value of 0 is 0 tens. The face value of 0 is 0.
• The place value of 6 is 6 hundreds. The face value of 6 is 6.
• The place value of 7 is 7 thousands. The face value of 7 is 7.

Expanded form and standard (short) form

Writing a number as the sum of the place values of its digits is known as the expanded form of the number.

The standard form of a number is given by combining the face value of each digit at the correct places.

Example:

4628         4000+600+20+8

ShortForm         Expanded form

Example:

Write the following numbers in the expanded form.

a) 6573           b) 3104           c) 8635          d) 9735

Solution:

a) 6573 =6000+500+70+3

b) 8635= 8000+600+30+5

c)3104= 3000+100+ 4

d) 9735= 9000+700+30+5

Example:

Write 9000+200+40+2 in standard form

Solution:

9000+200+40+2= 9242

Even And Odd Numbers,

Look at the numbers corresponding to the figures

Numbers 2,4,6,8 - make perfect pairs. They are called even numbers.
Numbers 1,3,5,7-do not make perfect pairs. They are called odd numbers.

Example:

In the following list all the encircled numbers are even numbers.

Predecessor

A number that comes just before a given number is called its predecessor.
It is obtained by subtracting 1 from the given number.

Example:

The predecessor of 65 is 65-1= 64

Successor

A number that comes just after a given number is called its successor.
It is obtained by adding 1 to the given number.

Example:

The successor of 21 is 21+1=22

Comparing Numbers

Different number of digits

If two numbers to be compared do not have the same number of digits,the number with more number of digits is greater.

Example:

 H T O 7 9 6

 H T O 9 7

796 is greater than 97, in short, we write 796>97.

Some Number Of Digits

When the number of digits is the same in two numbers,then we start comparing the first digit from the left in each number.
If it is the same in both numbers, we move to the second digit, and so on.

Example:

 Th H T O 6 3 6 3

 Th H T O 4 1 2 9

6363 is greater than 4129. In short, we write 6363>4129

Ordering Of Numbers

When two or more numbers are given, the comparison can be done by using the same rules.
When we arrange the numbers upwards,from the smallest to the greatest,it is called the ascending order of numbers.

When we arrange the numbers downwards,from the greatest to the smallest,it is called the descending order of numbers.

Example:

Arrange the following numbers in ascending and descending orders.

1205, 787, 6085, 1348

Solution:

 Th H T O 1 2 0 5 7 8 7 6 0 8 5 1 3 4 8

The given numbers in ascending order are

787<1205<1348<6085

The numbers arranged in descending order are

6085>1348>1205>787

#### Making Numbers With Given Digits

Greatest number

In order to make the greatest 4 digit number, we put the greatest digit in the thousands column, then the next greatest digit in the hundreds column and so on

Smallest number

If we arrange the digits in ascending order in a place value chart, we get the smallest 4 digit number

Rounding off numbers

Round off the following numbers to the nearest 10

68-70 ( as the digit in the ones place is greater than 5, round off to the higher ten.)
152-150( as the digit in the ones place is less than 5, round off to the same ten.)

Round off the following numbers to the 100.

678-700( as the digit in the tens place is greater than 5, round off to the higher hundred.)
819-800( as the digit in the tens place is less than 5, round off to the same hundred.)

Round off the following numbers to the 1000.

2913-3000 ( as the digit in the hundreds place is greater than 5, round off to the higher thousand.)
3215-3000( as the digit in the hundreds place is less than 5, round off to the less thousand

Roman Numerals

The symbols that we use for numbers are called Hindu-Arabic numerals.
The Romans used seven letters of the alphabet as basic symbols.
There is no zero in the roman system

Rule 1:

Repetition of a numeral means addition. However,
it cannot be repeated more than three times

Rule 2:

If a symbol with a smaller value is written before a symbol having a greater value, then we substract the value of the first symbol from the value of the second symbol.

IV =5 -1=4, IX= 10-1=9

Rule 3:

If a symbol with a smaller value is written after a symbol having a greater value,then we add the value of the first symbol to the value of the second symbol.

VI=5+1=6, XI= 10+1=11, XIII= 10+1+1+1=13

Rule 4:

For expressing numbers greater 10, the numbers are first split in terms of tens and ones.

12=10+2=XII, 18= 10+5+3= XVIII

Example:

XIV = 10+4=14        XXV=10+10+5=25

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