Question

You've just solved a problem and the answer is the mass of an electron, me=9.11×10−31kilograms. How would you enter this number into the answer box?
Enter your answer in kilograms using three significant figures. Note that the units are provided for you to the right of the answer box.

Answer 1

The mass of an electron up to three significant digits is written as $\boxed{9.11 \times {{10}^{ - 31}}\,{\text{kg}}}$.

Further Explanation:

The significant numbers in a measured quantity are the numbers that have their role in representation of the measured quantity in terms of the resolution of the quantity.

The scientific notation for any measured quantity is expressed as:

$A = a... \times {10^n}$  

Here, $a$ are the combined significant digits in the quantity.

The number of digits present in $a$ represents the number of significant digits in the representation of the quantity.

The following is the list of rules to be considered for the significant numbers.

a) Each and every non-zero number is a significant number.

b) A zero present between two significant numbers is also a significant number.

c) The zeros written after the decimal point are significant numbers.

d) Only zero before a decimal is not a significant number.

Therefore, the mass of an electron up to three significant digits is written as $\boxed{9.11 \times {{10}^{ - 31}}\,{\text{kg}}}$ and the three significant digits in the number are $9,1\& 1$.

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Answer Details:

Grade: High School

Chapter: Significant Figures

Subject: Physics

Keywords: Significant figures, answer box, rules, non-zero, scientific notation, resolution, measured quantity, physical quantity, mass of electron.

Answer 2

The mass of an electron, me, 9.11 × 10⁻³¹ kilograms shows there are 3 important numbers in them, namely numbers 9, 1, and 1

Further explanation

Significant numbers are obtained from measurement results of exact numbers and the last number estimated

This is called significant numbers

the scientific notation can be described as:

a, ... x 10ⁿ

a, ... called a significant number

10ⁿ is called a big order

Rules for significant numbers in general:

• 1. All non-zero numbers are significant numbers

• 2. a zero which is located between two non-zero numbers including a significant number

• 3. all zeros are located in the final row written behind the decimal point of the include significant number

• 4. zero decimal point is the not significant number

From the numbers known in the question amounting to 9.11 × 10⁻³¹ kilograms shows there are 3 important numbers in them,(symbol a, before a big order ,called a significant number) namely numbers 9, 1, and 1

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Keywords : significant number, the scientific notation, decimal point, a big order