# Multiplying a Number – Definition, Rules, Ways, Examples | How to Multiply any Numbers Fastly?

Multiplication is one of the arithmetic operations which means repeated addition. Multiply a Number means finding the product of that number with another combination of numbers. The sign of multiplication is cross (x) or dot (.) or parentheses. Get the interesting facts about multiply a number in the following sections. You can also check the solved examples and some asked questions below.

## Multiply a Number

In maths, multiply means adding equal groups. When we multiply the number of things, group size increases. The parts of multiplication are two facts and the product. To calculate the multiplication, we need two numbers. For example 8 x 9 means adding 8 to itself 9 times. Multiply a number means, that a particular number is multiplied by different combinations of numbers. The important facts about multiplication are listed here.

• Multiply a number by zero gets zero as the product.
• Multiply a number by 1 gives the same number as the product.
• For every multiplication fact, we have two division facts.

Also, Refer

### Multiplication using Signs and Parentheses

The multiplication using signs and parentheses is the same. The sign of a number shows the impact on the product. The multiplication of two positive numbers is a positive number. The multiplication of a positive and a negative number is a negative number. The multiplication of two negative numbers is a positive number.

Examples:
4 . 2 = 4 times 2 = 8
5 . 6 = 5 times 6 = 30
8(6) = 8 times 6 = 48
-7(4) = -7 times 4 = -28
4 . -5 = -20
-3(-6) = 3 times 6 = 18

### Multiply a Number with a Larger Number

Get the simple steps to multiply larger numbers in the further sections.

• Find two numbers in two columns.
• Multiply the unit digit of the second number by the first number.
• Again, multiply the ten’s digit of the second number by the first number.
• Repeat the process until you left nothing on the left side of the second number.
• Add the products to get the final product.

### How to Multiply a Number Quickly?

We use this process when any of the numbers are in the form of 100 or 200 or 500 or 90 or so on.

• Let us take two numbers.
• To do mental calculations, remove zeros in both numbers.
• Multiply the remaining numbers.
• Add the number of zeros available in both numbers on the right side of the product.
• The final obtained is the product of numbers.

### Questions and Answers on Multiply a Number

Question 1:
How to multiply a number by 10, 100, 1000?
(a) 125 x 10
(b) 874 x 100
(c) 24 x 1000
Solution:
(a) Given that,
125 x 10 = 125 x 1 0
= 1250
(b) Given that,
874 x 100 = 874
(c) Given that,
24 x 1000 = 24 x 1 000
= 24000
Multiply by 10 means digits shift one place to the left.
Multiply by 100 means digits shift two places to the left.
Multiply by 1000 means digits shift three places to the left.

Question 2:
How to multiply a number by 200, 300, 400?
(a) 245 x 200
(b) 456 x 300
(c) 182 x 400
Solution:
(a) Given that,
245 x 200 = 2 4 5 x 2 x 100
First, we multiply non zero digits
245 x 2 = 490
Then we count the number of zeros in both the factors and place them at the end.
245 x 200 = 49000
(b) Given that,
456 x 300 = 456 x 3 x 100
First, we multiply non zero digits
456 x 3 = 1368
Then we count the number of zeros in both the factors and place them at the end.
456 x 300 = 136800
(c) Given that,
182 x 400 = 182 x 4 x 100
First, we multiply non zero digits
182 x 4 = 728
Then we count the number of zeros in both the factors and place them at the end.
182 x 400 = 72800

Question 3:
Compute 56 x 43
Solution:
Given that,
56 x 43 56 x 43 = 2408
Here, 56 and 43 are factors, 2408 is the product.

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