A nanometer is equal to 1×10^-9 meter. How is this value written in standard notation?

Question

A nanometer is equal to 1×10^-9 meter. How is this value written in standard notation??  
A. 0.0000000001 m  
B. 0.000000001 m  
C. 1,000,000,000 m  
D. 10,000,000,000 m

Accepted Answer

Correct Answer: (B)0.000000001 m. 
Rationale: A nanometer is written as 0.000000001 meters in standard notation.The metric prefix "nano-" signifies a factor of one-billionth, or 10⁻⁹. Converting from scientific notation (1 × 10⁻⁹) to standard notation requires moving the decimal point in the coefficient (1.0) nine places to the left. This results in a decimal number where the digit '1' occupies the ninth place to the right of the decimal point, preceded by eight zeros.A) 0.0000000001 mThis value has ten digits after the decimal point, with the '1' in the tenth place. This represents 1 × 10⁻¹⁰ meters, which is one-tenth of a nanometer (0.1 nm). It is an order of magnitude smaller than one nanometer.B) 0.000000001 mThis value has nine digits after the decimal point, with the '1' in the ninth place. This correctly represents 1 × 10⁻⁹ meters. There are eight zeros between the decimal and the '1', and the '1' itself is in the 9th position, equaling one nanometer.C) 1,000,000,000 mThis is 1 × 10⁹ meters, or one billion meters (a gigameter). This is the inverse of a nanometer; it is a vastly larger unit of length. This option misinterprets the negative exponent as a positive one.D) 10,000,000,000 mThis is 1 × 10¹⁰ meters, or ten billion meters. Like option C, this results from misapplying the conversion, likely by using a positive exponent and an incorrect coefficient.Conclusion:Understanding metric prefixes is key to unit conversion. The prefix "nano-" unequivocally means 10⁻⁹. Converting this factor from scientific notation involves moving the decimal point nine places to the left from 1.0, which produces the decimal representation with eight leading zeros: 0.000000001 meters.

A nanometer is equal to 1×10^-9 meter. How is this value written in standard notation?

A
0.0000000001 m

B
0.000000001 m

C
1,000,000,000 m

D
10,000,000,000 m

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Related Questions

A nanometer is equal to 1×10^-9 meter. How is this value written in standard notation?

A 0.0000000001 m B 0.000000001 m C 1,000,000,000 m D 10,000,000,000 m

Topic Flashcards

Mini Quiz

Related Questions

A
0.0000000001 m

B
0.000000001 m

C
1,000,000,000 m

D
10,000,000,000 m