# ADDING AND SUBTRACTING SCIENTIFIC NOTATION

Adding and Subtracting Scientific Notation :

Here we are going to see some example problems of adding and subtracting scientific notation.

## Adding and Subtracting Scientific Notation - Examples

Question 1 :

Represent the following information in scientific notation:

(i) The world population is nearly 7000,000,000.

Solution :

=  7000,000,000

We have to move the decimal point 9 digits towards left side. So the power of 10 will be positive.

=  7 x 109

(ii) One light year means the distance 9460528400000000 km.

Solution :

We have to move the decimal point 9 digits towards left side. So the power of 10 will be positive.

=  9.4605284 x 1015 km

(iii) Mass of an electron is 0.000 000 000 000 000 000 000 000 000 00091093822 kg.

Solution :

We have to move the decimal point 15 digits towards right side. So the power of 10 will be negative.

=  9.1093822 x 10-31 kg

Question 2 :

Simplify:

(i) (2.75 × 107) + (1.23 × 108)

Solution :

=  (2.75 × 107) + (1.23 × 108)

=  (2.75 + 1.23) × 107+ 8

=  3.98 × 1015

(ii)  (1.598×1017) – (4.58 ×1015)

Solution :

=   (1.598×1017) – (4.58 ×1015)

=  (1.598 - 4.58) × 1017 × 1015

=  -2.982 × 1017+15

=  -2.982 × 1032

(iii) (1.02 × 1010) × (1.20 × 10–3)

Solution :

=  (1.02 × 1010) × (1.20 × 10–3)

=  1.02 x 1.20 × 1010-3

=  1.224 x 107

(iv) (8.41 × 104÷ (4.3 × 105)

Solution :

=  (8.41 × 104÷ (4.3 × 105)

=  (8.41/4.3) × 104-5

=  1.955 × 10-1

After having gone through the stuff given above, we hope that the students would have understood, "Adding and Subtracting Scientific Notation"

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