Operations on Large Numbers

Addition

Addition is a way of combining things and counting them together as one large group. The numbers that we add are called addends and the result of addition is called sum. Let us learn to add large numbers

 Example: Add 15935842 + 68613611

 Solution:

The answer is 8,45,49,453

Properties of Addition

Property 1 : Numbers can be added in any order, their sum remains the same.

For example : 35,15,391 + 20,24,822 = 55,40,213 or 20,24,822 + 35,15,391 = 55,40,213

Property 2 : The sum of three or more numbers does not change even when their grouping is changed.

For example : 35,15,391 + (20,24,822 + 55,40,213) = 35,15,391 + 75,65,035

 = 11080426

or (35,15,391 + 20,24,822) + 55,40,213 = 55,40,213 + 55,40,213

 = 11080426

Property 3 : When 0 is added to a number, the sum is the number itself.

For example : 35,15,391 + 0 = 35,15,391

Operations on Large Numbers

Subtraction

Subtraction is a process of taking away. The number from which we subtract is always the bigger number. It is called minuend, The number that is subtracted is called subtrahend and the answer is called difference. Let us learn to subtract large numbers.

Example: Subtract 84549453 – 68613611

Solution:

The answer is 1,59,35,842

Properties of Subtraction

Property 1 : If you subtract any number with 0, the answer is the number itself.

For example : 3515391 – 0 = 3515391

Property 2 : If you subtract the number itself, the answer is always 0

For example : 3515391 - 3515391= 0

Operations On Large Numbers

Multiplication

Multiplication is a process of repeated addition of the same number. The number that is multiplied is called multiplicand. The number which multiplies is called multiplier and the answer is called product. Let us learn to Multiply large numbers.

 Example: Multiply 549453 × 23

Solution:

The answer is 1,26,37,419

Properties of Multiplication

Property 1 : When a number is multiplied by 0, the product is always 0.

For example : 35,15,391 × 0 = 0

Property 2 : Numbers can be multiplied in any order, the product remains the same.

For example : 515391 × 15 = 7730865 or 15 × 515391 = 7730865

Property 3 : When a number is multiplied by 1, the product is the number itself

For example : 35,15,391 × 1 = 35,15,391

Property 4 : The product of three or more numbers remains the same even their grouping is changed.

For example : 6725 × (120 × 32) = 6725 × 3840 = 25824000

                           or

(6725 × 120) × 32 = 807000 × 32 = 25824000

Operations On Large Numbers

Division

Divide is a process of taking away. The number from which we subtract is always the bigger number. It is called minuend, The number that is subtracted is called subtrahend and the answer is called difference.

Let us learn to divide large numbers

Example: Divide 876986 ÷ 2

The reminder is 2.

Properties of Division

 Property 1 : Any number divided by itself equals 1

For example : 3515391 ÷ 3515391 = 1

Property 2 : 0 divided by any number is 0

For example : 0 ÷ 515391 = 0

Property 3 : Any number divided by 1 equals the number itself

For example : 378387954 ÷ 1 = 378387954