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In which of the following pairs do both numbers contain the same number of significant figures?(2.2)

a. 2.0500mand0.0205m

b. 600.0Kand60K

c. 0.00075sand75000s

d. 6.240Land6.240×10-2L

Short Answer

Expert verified

Part (a) As a result, 2.0500mand 0.0205mhave different numbers of significant figures.

Part (b) As a result, 600.0Kand 60Khave different numbers of significant figures.

Part (c) There are the same number of significant figures in the integers 75,000sand 0.00075s.

Part (d) There are the same number of significant figures in the integers 6.240x10-2and6.240L.

Step by step solution

01

Part (a) Step 1: Given Information 

The numbers that are given are : 2.0500mand0.0205m.

We have to find whether the significant numbers are the same or different.

02

Part (a) Step 2: Explanation 

  • The zeros between the nonzero digits, as well as the zeros at the conclusion of a number with a decimal point, are always important.
  • The zeros at the start of a number are never relevant, but the zeros between the nonzero digits are.
  • There are 5 significant figures in the number 2.0500m, and 3significant figures in the number 0.0205m.
  • As a result, 2.0500mand 0.0205mhave different numbers of significant figures.
03

Part (b) Step 3: Given information

The numbers that are given are : 600.0Kand60K

We have to find the whether the significant numbers are same or different.

04

Part (b) Step 4 :  Explanation

  • A significant figure is one that appears at the end of a decimal number.
  • As a result, all of the zeros in 600.0Kare meaningful.
  • A significant figure is never considered to be a zero used as a placeholder in a number without a decimal point.
  • As a result, in 60K, just the 6is relevant.
  • The number 600.0Khas four significant figures, but 60konly has one.
  • As a result, 600.0Kand 60Khave different numbers of significant figures.
05

Part (c) Step 4: Given Information

The numbers that are given are : 0.00075sand75000s

We have to find the whether the significant numbers are same or different.

06

Part (c) Step 5: Explanation 

  • The zeros at the start of a number are never taken into consideration. As a result, only 0.00075sbelieve 7and 5to be important.
  • A significant figure is never considered a zero used as a placeholder in a number without a decimal point.
  • As a result, in 75,000s, only 5and 7are deemed important.
  • 0.00075shas two significant figures, while 75,000salso has two significant figures.
  • There are the same number of significant figures in the integers 0.00075sand 75,000s.
07

Part (d) Step 7: Given information

The numbers given are :6.240Land6.240×10-2L

We have to find the whether the significant numbers are same or different.

08

Part (d) Step 8: Explanation 

  • A important figure is one that appears at the end of a decimal number.
  • As a result, all of the zeros in 6.240Lare meaningful.
  • A number expressed in scientific notation with a zero in the coefficient is regarded significant.
  • As a result, all of the numbers in 6.240×10-2Lare meaningful. 6.240Lhas four significant figures, and 6.240×10-2Lhas four significant figures as well.
  • There are the same number of significant figures in the integers 6.240Land 6.240×10-2L.

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