Question

State the number of significant figures in the following:
1) 1.22×10^4
2) 123.00
3) 1.05
4) 6320
5) 6.302
6) 0.006
7) 14.213
8) 0.005 m^2
9) 200.05
10) 0.06900

Answer 1

Explanation:

1) 3

2) 5

3) 3

4) 3

5) 4

6)

7) 5

8)

9) 5

10)

Answer 2

Concept

Significant figures are used to establish the number which is presented in the form of digits. These digits carry a meaningful representation of numbers. The term significant digits are also used often instead of figures. We can identify the number of significant digits by counting all the values starting from the 1st non-zero digit located on the left.

Given

We have given 10 numbers which are (1) 1.22×10^4 , (2) 123.00 , (3) 1.05, (4) 6320 , (5) 6.302 , (6) 0.006 , (7) 14.213 , (8) 0.005 m^2 , (9) 200.05 ,  (10) 0.06900

Find

We are asked to determine the significant figures of given numbers.

SolutionThere are some rules for determining significant figure which is given by :-

1. All non-zero digits are significant.
2. All zeros that occur between any two non zero digits are significant.
3. All zeros that are on the right of a decimal point and also to the left of a non-zero digit is never significant.
4. All zeros that are on the right of a decimal point are significant, only if, a non-zero digit does not follow them.
5. All the zeros that are on the right of the last non-zero digit, after the decimal point, are significant. For example,
6. All the zeros that are on the right of the last non-zero digit are significant if they come from a measurement.

So from above point we will determine the significant figures

(1) by rule 1 it has 3 significant figures

(2) by rule 4 it has 5 significant figures

(3) by rule 2 it has 3 significant figures

(4) by rule 1 it has 3 significant figures

(5) by rule 4 it has 4 significant figures

(6) by rule 3 it has 1 significant figure.

(7) by rule 1 it has 5 significant figures

(8) by rule 6 it has 1  significant figures.

(9) by rule 2 it has 5 significant figures

(10) by rule 5 it has 4 significant figures.

Hence, these are the significant figures of given number.

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