Question

How many significant figures are there in : (a) 0.000054 (b) 3.001 x 10^5 (c) 5.600

Answer 1

Answer:

(a) 2 (b) 4 (c) 4

Explanation:

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

Rules for significant figures:

• Digits from 1 to 9 are always significant and have infinite number of significant figures.
• All non-zero numbers are always significant. For example: 654, 6.54 and 65.4 all have three significant figures.
• All zero’s between integers are always significant. For example: 5005, 5.005 and 50.05 all have four significant figures.
• All zero’s preceding the first integers are never significant. For example: 0.0078 has two significant figures.
• All zero’s after the decimal point are always significant. For example: 4.500, 45.00 and 450.0 all have four significant figures.
• All zeroes used solely for spacing the decimal point are not significant. For example : 8000 has one significant figure.

As per question,

0.000054 has 2 significant figures.

3.001 x 10⁵ has 4 significant figures.

5.600 has 4 significant figures.