# Math Blog

### Problems on Division of Decimal Fractions | Divide a Decimal Number Problems

We will discuss here how to solve the word problems on division of decimal fractions. To divide a decimal number: (i) Perform the division ignoring decimal point. (ii) Put the decimal point in the

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### Problems on Multiplication of Decimal Fractions | Multiply a Decimal Number

We will discuss here how to solve the word problems on multiplication of decimal fractions. To multiply a decimal number: (i) Perform the multiplication ignoring decimal point. (ii) Place the decimal

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### Problems on Subtraction of Decimal Fractions | Like Decimal Fractions

We will discuss here how to solve the word problems on subtraction of decimal fractions. We know to subtract one decimal number from the other decimal number: (i) Change the decimal fractions to

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### Problems on Addition of Decimal Fractions | Add Two or more Decimals

We will discuss here how to solve the word problems on addition of decimal fractions. We know to add two or more decimals: (i) Convert all the decimals to be added into like decimals.

### Equality of Complex Numbers | Equality of Two Complex Numbers | Examples

We will discuss about the equality of complex numbers. Two complex numbers z1 = a + ib and z2 = x +iy are equal if and only if a = x and b = y i.e., Re (z1) = Re (z2) and Im (z1) = Im (z2).

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### Decimal Place Value Chart |Tenths Place | Hundredths Place | Thousandths Place

Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

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### Changing Unlike to Like Decimal Fraction | Like and Unlike Decimals | examples

We will discuss here about changing unlike to like decimal fractions. Unlike decimal fractions can be changed to like decimals by adding as many zeroes as required.

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### Expanded form of Decimal Fractions | How to Write a Decimal in Expanded Form

We will discuss here about the expanded form of decimal fractions. In expanded form of decimal fractions we will learn how to read and write the decimal numbers.

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### Amplitude or Argument of a Complex Number | Algorithm for Finding Argument

To find the Amplitude or Argument of a complex number let us assume that, a complex number z = x + iy where x > 0 and y > 0 are real, i = √-1 and x$$^{2}$$ + y$$^{2}$$ ≠ 0

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### Decimal | Word Problem on Decimals | Digits after the Decimal | Fraction

A fractional number whose denominator is 10 or multiple of 10 is called a decimal. Every decimal has two parts whole number part and decimal part. These two parts are separated by a dot or point.

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### Ordering Decimals | Comparing Decimals | Decimals from Smallest to Largest

In ordering decimals we will learn how to compare two or more decimals. (i) Convert each of them as like decimals. (ii) Compare these decimals just as we compare two whole numbers ignoring

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### Problems on Complex Numbers | Modulus of the Complex Quantity

We will learn step-by-step how to solve different types of problems on complex numbers using the formulas. 1. Express $$(\frac{1 + i}{1 - i})^{3}$$ in the form A + iB where A and B are real numbers.

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### Complex Numbers Formulae | Properties of Complex Numbers | Definition

We will discuss about the complex numbers formulae. (i) Definition of complex number: If an ordered pair (x, y) of two real numbers x and y is represented by the symbol x + iy, where i = √-1, then the

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### Modulus of a Complex Number | Absolute Value of a Complex Number

Definition of Modulus of a Complex Number: Let z = x + iy where x and y are real and i = √-1. Then the non negative square root of (x^2 + y^2) is called the modulus or absolute value of z (or x + iy).

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### Worksheet on Division of a Whole Number by a Fraction | Reciprocal of Fraction

We will practice the questions given in the worksheet on division of a whole number by a fraction. We know, whole number ÷ fraction = whole number × reciprocal of fraction.

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### The Cube Roots of Unity | Properties of the Cube roots of Unity |Complex Numbers

We will discuss here about the cube roots of unity and their properties. Suppose let us assume that the cube root of 1 is z i.e., ∛1 = z.Then, cubing both sides we get, z^3 = 1 or, z^3 - 1 = 0

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### 5th Grade Math Worksheets | 5th Grade Homework Sheets | Math Worksheet

5th grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students.

### Worksheet on Problems on Division of Fractional Numbers | Fractional Division

We will practice the questions given in the worksheet on problems on division of fractional numbers. 1. A student in a school pays $3 1/5 as boys fund. If the amount collected is$ 310 2/5

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### Complex Number in the Standard Form | Multiply the Conjugate of the Denominator

We will learn how to expand a complex in the standard form a + ib. The following steps will help us to express a complex number in the standard form: Step I: Obtain the complex number in the form

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### Worksheet on Division of a Fraction by a Whole Number | Find the Quotient

We will practice the questions given in the worksheet on division of a fraction by a whole number. We know, fraction ÷ whole number = fraction × reciprocal of whole number. I. Divide the following:

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### Worksheet on Division of a Fractional Number by a Fractional Number | Answers

We will practice the questions given in the worksheet on division of a fractional number by a fractional number. We know, a fraction ÷ another fraction = first fraction × reciprocal of the

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### Reciprocal of a Complex Number | How to Find the Reciprocal of a Complex Number?

How to find the reciprocal of a complex number? Let z = x + iy be a non-zero complex number. Then 1/z = 1/(x + iy) Multiplying numerator and denominator by conjugate of denominator

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### Problems on Division of Fractional Numbers | Fractional Division | Word Problems

Problems on division of fractional numbers will give idea how to solve different types of word problems. 1. In a school 2/7 of the students are girls. If there are 280 boys

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### Associative Property of Multiplication of Complex Numbers | Complex Numbers

Here we will discuss about the associative property of multiplication of complex numbers. Commutative property of multiplication complex numbers: For any three complex numbers z1, z2 and z3, we have

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### Commutative Property of Multiplication of Complex Numbers | Complex Numbers

Here we will discuss about the commutative property of multiplication of complex numbers. Commutative property of multiplication of two complex numbers: For any two complex number z1 and z2, we have

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### Simplification of Fractions | How to Simplify Fraction? | reducing fractions

In simplification of fractions parenthesis can also be used. The three parenthesis (1st), {2nd}, [3rd] are used commonly. Examples on simplification of fractions:

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### Worksheet on Division of Fractions | Problems on Division of Fraction

In the worksheet on division of fractions we will solve 10 different types of questions. 1. Solve: (a) 3/5 ÷ 5 (b) 2/15 ÷ 6 (c) 49/6 ÷ 35 (d) 13 1/7 ÷ 7

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### Properties of Fractional Division | Dividing Fractions | Fraction Division

Properties of fractional division are discussed here: (i) When a fractional number is divided by 1, the quotient is the fraction itself. For Example: 1. 2/3 ÷ 1 = 2/3 × 1/1 = (2 × 1)/(3 × 1) = 2/3

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### Properties of Complex Numbers |Equality of Two Complex Numbers|Distributive Laws

We will discuss here about the different properties of complex numbers. 1. When a, b are real numbers and a + ib = 0 then a = 0, b = 0 Proof: According to the property, a + ib = 0 = 0 + i * 0,

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### Integral Powers of a Complex Number | Integral Power of i | Complex Number

Integral power of a complex number is also a complex number. In other words any integral power of a complex number can be expressed in the form of A + iB, where A and B are real.

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### Division of a Fractional Number | Reciprocal of the Second Fraction

We will discuss here about division of a fractional number by a fractional number. A Fraction ÷ Another Fraction = First Fraction × Reciprocal of the Second Fraction.

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### Division of a Whole Number by a Fraction | Division of Fraction

In division of a whole number by a fraction the rules are: Whole Number ÷ Fraction = Whole Number × Reciprocal of Fraction.

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### Division of a Fraction by a Whole Number | Division of Fractions | Fractions

We will discuss here about division of a fraction by a whole number. Fraction ÷ Whole number = Fraction × Reciprocal of whole number.

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### Root of a Complex Number | Purely Real Quantity | Purely Imaginary Quantity

Root of a complex number can be expressed in the standard form A + iB, where A and B are real. In words we can say that any root of a complex number is a complex number Let, z = x + iy

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### Multiplication of Fractional Number by a Whole Number | Fraction Multiplication

In multiplication of fractional number by a whole number the rules are: (a) If the fraction is a mixed fraction, convert it to improper fraction. (c) Always write the answer as a mixed fraction if it

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### Division of Complex Numbers | Quotient of Two Complex Numbers

Division of complex numbers is also a complex number. In other words, the division of two complex numbers can be expressed in the standard form A + iB where A and B are real.

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### Worksheet on Problems on Multiplication of Fractional Numbers | Answers

We will practice the questions given in the worksheet on problems on multiplication of fractional numbers. 1. The cost of an electric bulb is $6 ½. Find the cost of 50 such bulbs. Continue reading "Worksheet on Problems on Multiplication of Fractional Numbers | Answers" ###### Mar 02, 2015 ### Word Problems on Fraction | Math Fraction Word Problems | Fraction Math In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers. Continue reading "Word Problems on Fraction | Math Fraction Word Problems | Fraction Math" ###### Mar 02, 2015 ### Problems on Multiplication of Fractional Numbers | Multiplying Fractions Problems on multiplication of fractional numbers will give idea how to solve different types of word problems. 2. One meter of cloth costs$ 15 1/2. Find the cost of 14 1/2 meter of cloth.

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### Multiplication of Two Complex Numbers | Product of Two Complex Numbers

Multiplication of two complex numbers is also a complex number. In other words, the product of two complex numbers can be expressed in the standard form A + iB where A and B are real.

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### Worksheet on Multiplicative Inverse |Multiplicative Inverse of Fractional Number

We will practice the questions given in the worksheet on multiplicative inverse of a fractional number. We know, to get the reciprocal of a given fraction, we interchange the numerator

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### Worksheet on Properties of Multiplication of Fractional Numbers | Answers

Using the properties of multiplication we will solve the different questions given in the worksheet on properties of multiplication of fractional numbers.

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### Worksheet on Multiplication on Fraction | Properties of Fraction Multiplication

In worksheet on multiplication on fraction, we can see below there are 10 different types of questions which we can practice in our homework.

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### Subtraction of Complex Numbers | Difference between Two Complex Numbers

We will discuss here about the usual mathematical operation - subtraction of two complex numbers. How do you subtract Complex Numbers? Let z1 = p + iq and z2 = r + is be any two complex numbers

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### Worksheet on Multiplication of a Whole Number by a Fraction | Answers

We will practice the questions given in the worksheet on multiplication of a whole number by a fraction. We know to multiply a whole number by a fraction we multiply the top number of the fraction by

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### Worksheet on Multiplication of a Fraction by Fraction | Fractional Number

We will practice the questions given in the worksheet on multiplication of a fraction by fraction. We know to multiply a fractional number we need to multiply the numerator of the first fraction

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### Worksheet on Multiplication of Fractional Number by a Whole Number

We will practice the questions given in the worksheet on multiplication of fractional number by a whole number. We know to multiply a fraction by a whole number, the numerator of the fraction

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### Addition of Two Complex Numbers | Algebra of Complex Numbers | Complex Numbers

We will discuss here about the usual mathematical operation - addition of two complex numbers. Let z1 = p + iq and z2 = r + is be any two complex numbers, then their sum z1 + z2 is defined as

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