Respuesta :
The value of the given expression up to correct significant figures is [tex]330 m^2[/tex].
- The rule that applies for the multiplication and division is :
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
- The rule that applies for the addition and subtraction is :
The least precise number present after the decimal point determines the number of significant figures in the answer.
Given:
The expression: (23.4m)(14m)
To find:
The answer up to correct a number of significant figures.
Solution
Number of significant figures in '23.4' = 3
Number of significant figures in '14' = 22
[tex]=(23.4m)(14m)\\=(23.4m)\times (14m)\\=327.6 m^2[/tex]
The number with the least significant figures is '14' is 2, so the answer will be reported up to 2 significant figures:
[tex]=327.6 m^2\approx 330 m^2[/tex]
Number of significant figures in '330' = 3
The value of the given expression up to correct significant figures is [tex]330 m^2[/tex].
Learn more about significant figures here:
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