Scientific notation is the way of expressing very large or very small numbers in easiest form. Writing the numbers in the form of a x 10 ^{n} is called as scientific notation which is also known as exponential notation. Scientific notation is dividing numbers by a power of 10. To divide two numbers, simply divide the coefficients, and then subtract the exponent of the denominator from the exponent of the numerator.

**Scientific notation has the following terms,**

- Co-efficient
- Base
- Exponent

Related Calculators | |

Dividing Scientific Notation Calculator | Adding Scientific Notation Calculator |

Calculate Scientific Notation | Multiply Scientific Notation Calculator |

**Let's see the steps of dividing scientific notation:**

**Step 1: ** The first step is to divide the decimal numbers present in the scientific notation numbers.

**Step 2:** Subtract exponents of the base (power of 10).

**Step 3:** Write the number with the subtracted new exponent.

**Step 4:** Check if the resulting number is less than 1 shift the decimal point to the right and then decrease the power according to the decimal places shifted.

**Step 5:** Write the result in scientific notation.

**Step 1: **Divide the decimal numbers

0.23 ÷ 2.6 = 0.08846

**Step 2**: Subtract the powers of the base 10

11 - 4 = 7

**Step 3:** Write the number with the subtracted new exponent

0.08846 x 10 ^{7}

**Step 4**: Now the decimal number is less than 1, so right shift the decimal point by 2 places and decrease the power by 2

0.08846 = 8.846

0.08846 x 10 ^{7} = 8.846 x 10 ^{5}

**Step 5:** Write the result in scientific notation

Hence, dividing scientific notation (0.23 x 10^{11}) by (2.6 x 10^{4}) we get **8.846 x 10 ^{5}**

**Step 1: **Divide the decimal numbers

3.4 ÷ 5 = 0.68

**Step 2**: Subtract the powers of the base 10

- 3 - 6 = - 9

**Step 3:** Write the number with the subtracted new exponent

0.68 x 10 ^{-9}

**Step 4**: Now the decimal number is less than 1, so right shift the decimal point by 1 places and decrease the power by 1

0.68 x 10 ^{-9} = 6.8 x10 ^{-10 }

**Step 5:** Write the result in scientific notation

Hence, dividing scientific notation (3.4 x 10 ^{-3}) by (5 x 10^{6}) we get ** ****6.8 x10 **^{-10}

Related Topics | |

Math Help Online | Online Math Tutor |