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In which of the following pairs do both numbers contain the same number of significant figures?

a.0.00575and5.75×10-3

b.405kand405.0K

c.150000sand1.50×104s

d.role="math" localid="1651996774380" 3.8×10-2Land3.0×105L

Short Answer

Expert verified

Part a and part d both contain the same number of significant figures.

Step by step solution

01

Part (a) step 1: Given Information  

We need to find whether both the numbers in each pair contain the same number of significant figures or not.

02

Part (a) step 2: Explanation  

Referring to the rules in the significant figure as summarized by the table : 2.2

The number 0.00575has three significant figures-three non-zero digits, and the zeroes are just placeholders. The other number 5.75×10-3has three significant figures-the coefficient of this number is 5.75 which means it has 3 sig figs and the zeroes are non-significant. Therefore, the two numbers in the pair have the same numbers of significant figures.

03

Part (b) step 1: Given Information  

We need to find whether both the numbers in each pair contain the same number of significant figures or not

04

Part (b) step 2: Explanation  

Referring to the rules in the significant figure as summarized by the table: 2.2

The number 405khas three significant figures-the non-zero digits and the zero at the middle. The other number 405.0Khave also four significant figures-the non-zero digits and the two zeros, one at the middle and the other at the end. Therefore, the two numbers in this pair do not have the same number of significant figures.

05

Part (c) step 1: Given Information  

We need to find whether both the numbers in each pair contain the same number of significant figures or not

06

Part (c) step 2: Explanation  

Referring to the rules in the significant figure as summarized by the table: 2.2

The number15000have two significant figures-the two non-zero digits (1 and 5) and all the other zeros are placeholders. The other number1.50×104have three significant figures-the non-zero digits and the zero at the end (1,5 and 0). Therefore, two numbers in this pair do not have the same number of significant figures-.

07

Part (d) step 1: Given Information  

We need to find whether both the numbers in each pair contain the same number of significant figures or not

08

Part (d) step 2: Explanation  

Referring to the rules in the significant figure as summarized by the table: 2.2

There is the same number of significant digits in both the numbers; two. On the first number, both non-zero digits are significant (3 & 8). On the second number, the non-zero and the zero digits are significant (3 & 0). Therefore, the two numbers in this pair have the same number of significant figures.

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Most popular questions from this chapter

Perform each of the following conversions using metric and U.S. conversion factors:

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