Question

Mass of electron = 0.000 000 000 000 000 000 000 000 000 000 911 kg​

Answer 1

Answer:

Step 1: Recall the rules for converting standard form into a scientific notation.

Scientific notation is used to describe very large numbers and very small numbers.

The first factor should be at least 1 or less than 10.

For big numbers

Switch the decimal point to the left until you have a number greater than or equal to 1 or less than 10.

For smaller numbers

Move the decimal point to the right until you have a number greater than or equal to 1 and less than 10.

Multiply the decimal (first factor) by the power of 10

Take a positive power of 10 when you move to the left

Take a negative power of 10 when you move to the right

Step 2: Writing a number in scientific notation

Given that

Decimal number = 0.000 000 000 000 000 000 000 000 000 000 910 938

Move the decimal point to the right

0000 000 000 000 000 000 000 000 000 000 9.10 938

Count how many places you are shifting the decimal point. And use this number as a positive power of 10

Since you moved the decimal point 31 places to the right, multiply by 10^{31}10

31

= 00000000000000000000000000000009.10938\ \cdot\ 10^{31}00000000000000000000000000000009.10938 ⋅ 10

31

= 9.10938 * 10^{31} =9.10938∗10

31

Hence, scientific notation = 9.10938 * 10^{31} =9.10938∗10

31