Divide numbers written in scientific notation

Key Notes :

Dividing Numbers Written in Scientific Notation: Key Notes for 10th Class Students

Scientific notation is a convenient way to express very large or very small numbers. It is often used in fields like science, engineering, and astronomy. Dividing numbers written in scientific notation involves a few simple steps:

  1. Divide the coefficients: Divide the numerical parts of the numbers.
  2. Subtract the exponents: Subtract the exponents of the powers of 10.
  3. Express the result in scientific notation: Write the result in the form a x 10^b, where a is the coefficient and b is the exponent.

Example:

Divide (3.2 x 10^5) by (8 x 10^2)

  1. Divide the coefficients: 3.2 / 8 = 0.4
  2. Subtract the exponents: 5 – 2 = 3
  3. Express the result in scientific notation: 0.4 x 10^3 = 4 x 10^2

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Learn with an example

Divide. Write your answer in scientific notation.

2 × 105 / 2 × 103 = _________

Divide.

2 × 105 / 2 × 103

2 /2 × 105/ 103 Group the first factors and the power of 10

1 × 105 / 103 Divide the first factors

1 × 105 – 3 Divide the power of 10 , remembering to subtract the exponents

1 × 102

Divide. Write your answer in scientific notation.

9 × 103 / 9 × 101 = ________

Divide.

9 × 103 / 9 × 101

9 /9 × 103/ 101 Group the first factors and the power of 10

1 × 103 / 101 Divide the first factors

1 × 103-1 Divide the power of 10 , remembering to subtract the exponents

1 × 102

Divide. Write your answer in scientific notation.

9 × 103 / 3 × 102 = ________

Divide.

9 × 103 / 3 × 102

9 /3 × 103/ 102 Group the first factors and the power of 10

3 × 103 / 102 Divide the first factors

3 × 103-2 Divide the power of 10 , remembering to subtract the exponents

3 × 101

Let’s practice!