Question

The number of significant figure in measurement of 1.24 X 10^14​

Answer 1

SOLUTION

TO DETERMINE

The number of significant figure in measurement of

$\sf 1.24 \times {10}^{14}$

EVALUATION

We know that the figures that are used in representing a number are called significant figures

In order to count the number of significant figure we follow the below rules

1. The leading zero are used to fix the position of the decimal point. Leading zeroes are not significant

2. In a given number all non zero digits are significant

3. All zeroes which occurs between two non zero digits are significant

4. The digits occurs in the exponents of 10 are not significant

Here the given number is

$\sf 1.24 \times {10}^{14}$

Thus the significant figures are 1 , 2 , 4

Hence the number of significant figure = 3

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Answer 2

Given : 1.24 × 10¹⁴

To Find : The number of significant figure in measurement

Solution:

All non-zero digits are significant.

The leftmost nonzero digit is the first or most significant figure.

If there is a decimal point, the rightmost digit is the last or least significant figure

If there is no decimal point explicitly shown, the rightmost non-zero digit is the least significant figure

All digits between the most significant figure and the least significant figure are significant.

1.24 × 10¹⁴

Number of significant figures

1 , 2 and 4

There are 3 significant figures

1.24 × 10¹⁴ can also be written as

124000000000000

1 is most significant

4 is least significant

1 , 2 and 4 are significant figures

There are 3 significant figures

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