# Learn Math

**About us**

## iPracticeMath (http://www.iPracticeMath.com/) makes Math fun and easy for kids.

We provide the learning topics on basic math, algebra and calculus with

math practice

in a format of multiple-choice and Maths Worksheet to practice more!

**Mission**

## Our step by step process to practice math using Multiple Choice question as well as

## Online Worksheet aims to provide the motivation to learn Math in Fun manner.

**Description**

### It is geared for kids from Grade 1 to 12

### and provides extensive practice tests, for addition, subtraction, multiplication, algebra geometry etc.

### iPracticeMath (http://www.iPracticeMath.com/) makes Math fun and easy for kids.

### Our step by step process to practice math using Multiple Choice question as well as Online Worksheet aims to provide the motivation to learn Math in Fun manner.

# Math topics:

## Basic Math

## Algebra

## Calculus

## Decimal

## Fraction

## Consumer Math

**Learn More**

**What is profit and loss?**

The amount of money you pay for something is: cost price.

The amount of money you get for sell something is: selling price.

Selling price is greater than the cost price: you get a profit.

**Profit = selling price – Cost price**

Selling price is less than the cost price: It gives loss.

**Loss = Cost price – Selling price**

**How to find Ratio?**

**Ratio: to compare two quantities by division.**

The quotient of that division is called a ‘ratio’.

The colon ‘:’ is used to express a ratio.

The ratio of 7 to 9 is written as ‘7:9’

The ratio of 7 to 9 is read as ‘7 is to 9’.

The ratio is written as ‘a:b’ and is read as ‘a is to b’.

**Let us understand this better by example:**

In a cricket match, Max scored 80 and Sam scored 40 runs.

Let us see how many times Max’s score is that of Sam’s.

Just divide Max’s score by Sam’s

Max’s score/ Sam’s score= 80/40 = 2/1= 2:1

Thus,we find here that, **Max’s score is 2 times Sam’s score. More**

How to calculate the volume of a cylinder?

Volume of cylinder = area of base × height

**Example: **The radius of the base of a cylinder is given 28 cm and its height is 20 cm.

Find the volume of this cylinder.

Here,

Radius r =28cm

Height h = 20 cm

= 22/7× 28× 28× 20

= 22 × 4 × 28× 20

= 49280 cu cm

**Example: **

**The height of a cylindrical tank is 1 m**

**and its diameter is 84 cm.**

**How many liters of water can it hold? **

(1000 cu cm = 1 liter)

Here, r = 84/2= 42 cm

H = 1 m = 100 cm

**Volume of tank = ?**

= 22/7× 42 × 42 × 100

= 22 × 6 × 42 × 100

= 554400 cu cm

1000 cu cm = 1 liter

554400 cu cm = 554400 /1000 liters= 554.400 liters

**The tank will hold 554.400 liters of water. Learn more**

**Evaluate each expression**

**A) Rule 1: x ^{1}= x.**

Example:

(1/2)^{4} x (5/2)^{-2}

you see that when base raised to the positive power value;

x^{1 }= x.

So that,

(1/2)^{4} = ½ × ½ × ½ × ½

(5/2)^{-2}= 2/5 × 2/5(reciprocal of the number)

So that,

(1/2)^{4} x (5/2)^{-2}

= ½ × ½ × ½ × ½ × 2/5 × 2/5

Multiply numerators and multiply denominators

= 1/100

**B) **Rule 2:- When base raised to the negative power value; x^{-1 }= 1/ x^{1}

Any number with an exponent of 0 (except 0) automatically equals 1

**Example:-**

**(7/12) ^{0} ×4^{-1}**

(7/12)^{0} = 1 and

4^{-1}= 1/4

Therefore,

(7/12)^{0} ×4^{-1}

= 1 × 1/4

= 1/4 (Multiply numerators and multiply denominators)

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