(23.4m)(14m) rounded off to the correct number of significant figures

Chemistry

1 answer:

VARVARA [1.3K]3 years ago

5 0

The value of the given expression up to correct significant figures is $330 m^2$ .

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

$=(23.4m)(14m)\\=(23.4m)\times (14m)\\=327.6 m^2$

The number with the least significant figures is '14' is 2, so the answer will be reported up to 2 significant figures:

$=327.6 m^2\approx 330 m^2$

Number of significant figures in '330' = 3

The value of the given expression up to correct significant figures is $330 m^2$ .

Learn more about significant figures here:

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