Operation on Numbers Multiplication Division

**Category : **4th Class

** Operation on Numbers Multiplication and Division**

**Introduction**

In this chapter we will study two important arithmetic operations "multiplication and division". Multiplication is repeated addition of a specific quantity, whereas division is a distribution of a quantity into some equal parts. Let us study them.

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**Multiplication**

When a quantity is added to itself for a number of times, we use operation of multiplication to find the resulting quantity.

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**Example**

Find correct option for

\[7.5\text{ }kg+7.5\text{ }kg+7.5\text{ }kg+7.5\text{ }kg\]\[+7.5\text{ }kg+7.5\text{ }kg+7.5\text{ }kg.\]

(a) \[7\times 7.5\,kg\] (b) \[9\times 7.5\,kg\]

(c) \[11\times 7.5\,kg\] (d) \[13\times 7.5\,kg\]

(e) None of these

Answer (a)

**Explanation:**

\[7.5\text{ }kg+7.5\text{ }kg+7.5\text{ }kg+7.5\text{ }kg+7.5\text{ }kg+\]

**\[7.5\text{ }kg+7.5\text{ }kg=~\]\[7\times 7.5\text{ }kg\]**

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**Example**

There are 7546 books and each of the books contains 245 pages. Find the total of pages.

**Solution:**

Total number of pages = \[7546\times 245\]

= 1848770

**Terms Related to Multiplication**

**(i) Multiplicand:** In the multiplication, the number which is multiplied is known as multiplicand.

**(ii) Multiplier:** The number by which the multiplicand is multiplied is known as

**(iii) Product:** The answer or the result of multiplication is known as product.

Look at the example given below:

**Multiplication of Two Natural Number**

Place the multiplicands and multipliers of multiplicands with the first number multiplication by second number of the line in column, leaving the first place the products, the result is your answer

Look at the example below:

**Example**

Find the product of 24 and 15

\[24\times 15=360\]

**Solution:**

**Word Problems Based on Multiplication**

**Example**

An aeroplane is flying with the speed 1072 km/h. How much distance will it cover in 720 minutes?

**Solution:**

Distance covered by the aeroplane

**Note:**

The product of two natural numbers is always a natural number.

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**Division**

Division is the distribution of a quantity into some equal parts in such a way that each part contains equal amount.

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**Example**

Distribute 433035 kg wheat into 45 equal parts. Find the amount of wheat each part contains.

**Solution:**

Amount of wheat contained in each part \[=\frac{433035}{45}kg=9623\,kg\]

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**Example**

If 264 apples are distributed among 24 peoples, find the number of apples that everyone will get.

**Solution:**

Number of apples each people will get \[=\frac{264}{24}=11\]

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**Terms Related to Division**

**Dividend:** The quantity that is to be divided is called dividend.

**Divisor:** Number of parts in which the quantity to be divided is called Divisor.

**Quotient:** The amount that each group gets is termed as Quotient.

**Remainder:** The extra amount which is left after equally distribution is called remainder.

Relation between the terms of division.

\[Dividend=Divisor\times Quotient+\operatorname{Re}mainder\]

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**Example**

Divide and verify the relation.

**Solution: **

\[Dividend=Divisor\times Quotient+\operatorname{Re}mainder\]

Dividend = 213157, Divisor =25, Quotient = 8526, Remainder =7

Thus\[213157=25\times 8526+7\]

Or\[213157=213150+7\]

Or\[213157=213157.\]

Word Problem Based on Division

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**Example**

A train covers 7308 km in 58 hours. Find the distance covered by the train in 4 hours.

**Solution:**

Distance covered by the train in 1 hour \[=\frac{7308}{58}km\]

Distance covered by the train in 4 hours\[=126km\times 4=504km\]

*play_arrow*Introduction*play_arrow*Multiplication*play_arrow*Division*play_arrow*Operation on Numbers - Multiplication and Division*play_arrow*Multiplications and Division*play_arrow*Operation on Numbers Multiplication Division

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