Question

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

Answer 1

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 $330 m^2$.

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