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3rd Class

Numbers

Numbers    
  • The number system contains ten digits 0,1,2,3,4,5,6,7,8,9.
Largest and smallest numbers:
  • The smallest one digit number is 1.
  • The largest one digit number is 9.
 
  • The smallest two digit number is 10.
  • The largest two digit number is 99.
  • The smallest three digit number is 100.
  • The largest three digit number is 999.
    • 10 Ones = 1 Ten
    • 10 Tens = 1 Hundred
  • 10 Hundreds = 1 Thousand
Place Value of each digit in a number: In a four digit number, there are four places named: Ones place. Tens place. Hundreds place and Thousands place. Ex:     Ascending Order of numbers: more...
Catgeory: 3rd Class

Addition and Subtraction

Addition and Subtraction   Concept of Zero:
  • Zero added to any number is equal to the number itself.
Example: 243 + 0 = 243 Addition:
  • While adding, if we change the order of the numbers, the result will be the same.
  • Addition of 3-digit numbers is done by arranging the digits of ones, tens and hundreds in their proper place.
  • First we add ones, then tens and then hundreds.
Addition of 3-digit numbers without carrying: Example: Add 376 and 213 Solution: Step- 1: Arrange the numbers according to their proper place values.   Step-2: Add the ONES first, then the TENs and finally the HUNDREDS. more...
Catgeory: 3rd Class

Multiplication

Multiplication   Multiplication:
  • Multiplication is a repeated addition.
  • The number to be multiplied is called the MULTIPLICAND.
  • The number by which we multiply is called the MULTIPLIER.
  • The answer is called the PRODUCT.
  Note: 
  • The product of a number and zero is zero.
  • The product of a number and is the number itself.
  • When the order of the numbers is changed, the product remains the same.
  Multiplication of 3 - digit numbers by 1-digit number: Ex: Multiply 498 by 3.  
  • Step - 1: Multiply 8 ones by 3.
8 ones x 3 = 24 ones = 2 tens + 4 ones write 4 in the ones place. Carry 2 tens to the tens place. more...
Catgeory: 3rd Class

Division

Division   Division:
  • Division is a process of dividing into groups. It is also considered as a process of repeated subtraction.
Equal - sharing: Ex : 1 have 12 apples with me and I want to distribute them equally among 3 boys. How many apples will each boy get? Step - 1: Give 1 apple to each boy.   we have, 12-3 =9 apples left.   Step - 2: Again give 1 apple to each boy.   we have, 9-3=6 apples left. Step - 3: Give 1 more apple to each boy more...
Catgeory: 3rd Class

Fraction

Fraction Fractions:
  • A fraction represents the part of a whole.
  • The number above the bar is called NUMERATOR and the number below the bar is called
\[\operatorname{ex}:\frac{3}{4}\]
  • To get equivalent fractions for a given fraction multiply its numerator and denominator by the same number.
  • Fractions having equal denominators are called LIKE fractions.
  • Fractions with unequal denominators are called UNLIKE fractions.
  • If two fractions have the same denominator, then the fraction with greater numerator is greater fraction.
 
  • If two fractions have the same numerator, then the fraction with smaller denominator is greater fraction.
\[\operatorname{Ex}:\frac{5}{9}>\frac{5}{11}\]
  • Sum of fractions having same denominator
\[=\frac{Sum\text{ }of\text{ }Numerators}{Denominator}\]  
  • Difference between two fractions more...
Catgeory: 3rd Class

Money

Money    
  • In India, the unit of money is RUPEE.
 
  • 1 Rupee = 100 paise
 
  • Symbol for Rupee is Re. and Rupees is Rs.
 
  • Symbol for paise is P.
 
  • The figures on the left of dot (.) denote Rupees, and the figures on the right of dot (.) denote paise.
 
  • To convert rupees to paise, multiply by 100. Ex: Rs. 11.50 = 11. 50 \[\times \]100 = 1150 P
 
  • To convert paise to rupees, divide by 100. Ex: 1250 P = 1250 - 100 = Rs. 12.50\
 
  • 100 paise make 1 Rupee. 50 paise make half Rupee.
    • more...
Catgeory: 3rd Class

Time

Time   Clocks:
  • A clock has two hands : (i) long hand and (ii) short hand
 
  • The long hand is called minute hand and the short hand is called hour hand.
 
  • Some clocks have a third hand called second hand. It moves much faster than the other two hands
 
  • The dial of the clock is divided into 12 equal divisions marked as 1,2,3,4,5,6,7,8,9,10,11 and 12
 
  • 1 hour = 60 minutes    I minute = 60 seconds
 
  • \[\therefore \]1 hour = 60 \[\times \] 60 = 3600 seconds
 
  • The hour hand takes 12 hours to complete one round.
 
Catgeory: 3rd Class

Measurement

Measurement  
  • Non-standard Units of Length:
    • Length \[\to \] fingers, hand span, cubit, pace etc.
 
  • Standard Units of Length:
  • Meter is a standard unit for measuring length.
  • 1 meter = 10 decimetres
  • 1 decimeter = 10 centimetres
  • 1 metre = 100 centimetres
 
  • Non-standard Units for Mass:
    • Mass \[\to \] marbles, stones, beads etc.
 
  • Standard Units for Mass:
    • Kilogram is a standard unit of mass.
    • 1 kilogram = 1000 grams
 
  • Non - Standard Units of Capacity:
    • Capacity \[\to \] Cup, bottle, tumbler etc.
 
  • Standard Units of Capacity:
  • Liter is a standard unit of capacity.
1 liter more...
Catgeory: 3rd Class

Shapes

Shapes   Basic shapes:
  • 2 – dimensional shapes:
   
  • 3 - dimensional shapes:
         Closed and Open figures:  
  • Closed figures:
 
  • Open figures:
    Description of some basic shapes:
Catgeory: 3rd Class

Pictographs

Pictographs   Pictograph:
  • A pictograph uses pictures or symbols to represent an assigned amount of data.
 
  • A pictorial representation of data is a useful method to represent data attractively.
 
  • Numerical data when presented through pictures is called pictorial representation.
 
  • Pictographs are also called as pictograms.
                    more...
Catgeory: 3rd Class

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