Numbers

Numbers are used for calculating and counting. To count objects, we use numbers i.e. 1, 2, 3, 4,………, 10 etc.

These are called counting numbers and are also called natural numbers.

When we add 0 to the set of counting numbers, we get whole numbers. So, 0, 1, 2, 3,….,10 are called whole numbers.

So, 1 is the smallest natural number and 0 is the smallest whole number. But there is no largest whole number or natural number because each number has its successor.

Every whole number is made up of one or more of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. These symbols are called digits or figures.

In numbers we will learn more about the basic operations, unitary method, multiple and factors etc…………

Numbers.

Various Types of Numbers

Operations On Whole Numbers

Addition Of Whole Numbers.

Subtraction Of Whole Numbers.

Multiplication Of Whole Numbers.

Properties Of Multiplication.

Division Of Whole Numbers.

Properties Of Division.


Integers

Representation of Integers on a Number Line.

Addition of Integers on a Number Line.

Rules to Add Integers.

Rules to Subtract Integers.


Multiplication is Repeated Addition.

Multiplication of Fractional Number by a Whole Number.

Multiplication of a Fraction by Fraction.

Properties of Multiplication of Fractional Numbers.

Multiplicative Inverse.

Worksheet on Multiplication on Fraction.

Division of a Fraction by a Whole Number.

Division of a Fractional Number.

Division of a Whole Number by a Fraction.

Properties of Fractional Division.

Worksheet on Division of Fractions.

Simplification of Fractions.

Worksheet on Simplification of Fractions.

Word Problems on Fraction.

Worksheet on Word Problems on Fractions.


Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Subtraction of Decimal Fractions.

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.


Rounding Numbers.

Round off to Nearest 10.

Round off to Nearest 100.

Round off to Nearest 1000.

Rounding off Decimal Fractions.

Correct to One Decimal Place.

Correct to Two Decimal Place.

Worksheet on Rounding off number.


Factors.

Common Factors.

Prime Factor.

Repeated Prime Factors.

Highest Common Factor (H.C.F).

Examples on Highest Common Factor (H.C.F).

Greatest Common Factor (G.C.F).

Examples of Greatest Common Factor (G.C.F).

Prime Factorisation.

To find Highest Common Factor by using Prime Factorization Method.

Examples to find Highest Common Factor by using Prime Factorization Method.

To find Highest Common Factor by using Division Method.

Examples to find Highest Common Factor of two numbers by using Division Method.

To find the Highest Common Factor of three numbers by using Division Method.

Multiples and Factors.

Divisibility Rules.

Divisible by 2.

Divisible by 3.

Divisible by 4.

Divisible by 5.

Divisible by 6.

Divisible by 7.

Divisible by 8.

Divisible by 10.

Divisible by 11.

Percentage

To Convert a Percentage into a Fraction

To Convert a Fraction into a Percentage

To find the percent of a given number

To find what Per cent is one Number of another Number

To Calculate a Number when its Percentage is Known

Profit and Loss.

Formulas of Profit and Loss.

To find Cost Price or Selling Price when Profit or Loss is given.

Worksheet on Profit and Loss.

Simple Interest.

Word Problems on Simple Interest.

In Simple Interest when the Time is given in Months and Days.

To find Principal when Time Interest and Rate are given.

To find Rate when Principal Interest and Time are given .

To find Time when Principal Interest and Rate are given.

Worksheet on Simple Interest.

Temperature.

Converting the Temperature from Celsius to Fahrenheit.

Converting the Temperature from Fahrenheit to Celsius.

Clinical Thermometer.

Worksheet on Temperature.

Average.

Worksheet on Average.


Speed Distance and Time.

To find Speed when Distance and Time are given.

To find the Distance when Speed and Time are given.

To find Time when Distance and Speed are given.

Worksheet on Speed, Distance and Time.


Measurement.

Length.

Mass.

Capacity.

Worksheet on Measurement.



5th Grade Math Problems

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