Question

. Apply the appropriate rule for significant figures to calculate the following: (a) 1.58 x 0.03, (b) 1.4 + 2.53, (c) 2.34 x 102 + 4.93 (Answer (a) 0.05, (b) 3.9, (c) 2.39 x 102)​

Answer 1

The resulting expression for the product of 1.58 and 0.03 is 0.05

The resulting expression for the sum of 1.4 and 2.53 is 3.9

The resulting expression for the sum of 2.34 x 10² and 4.93 is 2.39 x 10²

Given the following expression

(a) 1.58 x 0.03

$1.58=\frac{158}{100}\\0.03=\frac{3}{100}$

taking the product

$1.58 \times 0.03\\=\frac{158}{100} \times\frac{3}{100}\\=\frac{158 \times 3}{10,000}\\= \frac{474}{10,000}\\=0.0474$

Converting too 1 significant figure

$1.58 \times 0.03 = 0.05$

b)  1.4 + 2.53

1.4 = 14/10

2.53 = 253/100

Find their sum

$1.4 + 2.53\\=\frac{14}{10} + \frac{253}{100}\\=\frac{140+253}{100}\\=\frac{393}{100}\\=3.93\\\approx 3.9 (to \ 1sf)$

c) 2.34 x 10² + 4.93

Given that

4.93 = 4.93 × 10⁰

Hence;

$= 2.34 \times 10^2 +4.93 \times 10^0\\=2.34 \times 10^2 +0.0493 \times 10^2\\=(2.34+0.0493) \times 10^2\\= 2.3893\times 10^2\\\approx 2.39\times 10^2$

Learn more about significant figures here:

brainly.com/question/17903415