How many significant figures are there in the following

values?

a. 0.05×10-4 b. 0.00340

c. 7.2×104 d.103.00

Short Answer

Expert verified

a. There is only one significant figure in this number.

b. There are three significant figures in this number.

c. There are two significant figures in this number.

d. There are five significant figures in this number.

Step by step solution

01

Part a; Step 1: Introduction

The non-zero digits which or if we write zeros after any non-zero digit then the digits are considered as meaningful and the digits can express the quantity accurately are called significant figures.

02

Explanation

In the given digit 0.05×10-4, as the leading zeroes are not considered as significant figure, there is only one significant figure that islocalid="1650548060723" 5.

03

Part b; Step 1: Introduction

The zeroes that stand before any significant nonzero positive digit are considered as leading zeroes and the zeros stand after any non-zero digit are called trailing zeros.

04

Explanation

In the given number 0.00340, there are three leading zeros before the first significant digit localid="1650548077687" 3. So, there are three significant figures including one trailing zero.

05

Part c; Step 1: Introduction

The non-zero digits are considered as the significant figures in a number consists of both zero and non-zero digits.

06

Explanation

The given digit 7.2×104can be written as,7.2×104=72000

So there are only two significant not zero figures as7,2.

07

Part d; Step 1: Introduction

In a decimal number, if there are zeros right after the decimal, then those zeros are considered as significant.

08

Explanation

In the given number 103.00, there are two trailing zeros right after the decimal and one zero is there between two non-zero digits. So there are total of five significant figures in this number.

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