Question

Perform the following calculation and report each answer with the correct number of significant figures.

Answer 1

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply 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 apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

(a) 628 × 342

$628\times 342=214776=2.15\times 10^5$

The correct answer is, $2.15\times 10^5$

(b) (5363 × 102) × (7.4 × 103)

$(5363\times 102)\times(7.4\times 103)=547026\times 762.2=(5.47\times 10^5)\times (7.6\times 10^2)=41.572\times 10^7=4.2\times 10^8$

The correct answer is, $4.2\times 10^8$

(c) 28.0 ÷ 13.483

$\frac{28.0}{13.483}=2.08$

The correct answer is, 2.08

(d) 8119 × 0.000023

$8119\times 0.000023=0.186737=1.9\times 10^{-1}$

The correct answer is, $1.9\times 10^{-1}$

(e) 14.98 + 27,340 + 84.7593

$14.98+27340+84.7593=27439.7393=2.744\times 10^4$

The correct answer is, $2.744\times 10^4$

(f) 42.7 + 0.259

$42.7+0.259=42.959=43.0=4.30\times 10^1$

The correct answer is, $4.30\times 10^1$