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Which is the correct way to represent 0.0035 kg using scientific notation?

A. [tex]$-3.5 \times 10^3$ kg[/tex]
B. [tex][tex]$-3.5 \times 10^{-3}$[/tex] kg[/tex]
C. [tex]$3.5 \times 10^{-3}$ kg[/tex]
D. [tex][tex]$3.5 \times 10^3$[/tex] kg[/tex]

Sagot :

GinnyAnsweridn
To determine the correct way to represent 0.0035 kg in scientific notation, we need to follow the principles of converting a decimal number into scientific notation.

Scientific notation expresses a number as the product of a number between 1 and 10 and a power of 10. Here is the step-by-step process:

1. Identify the significant figures: The number given is 0.0035. The significant figures here are 3.5.

2. Determine the power of 10: To express 0.0035 in terms of a number between 1 and 10 times a power of 10, we need to count how many places we must move the decimal point to the right to get a number between 1 and 10.

- Moving the decimal point from 0.0035 to 3.5 involves three places to the right.

3. Express the number: Since moving the decimal point three places to the right corresponds to multiplying by [tex]\(10^{-3}\)[/tex] (because each move to the right decreases the exponent by one), we can now write the number in scientific notation as [tex]\(3.5 \times 10^{-3}\)[/tex].

Therefore, the correct way to represent 0.0035 kg in scientific notation is:
[tex]\[ \boxed{3.5 \times 10^{-3} \, \text{kg}} \][/tex]
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