Question

Using significant digits, determine the product of 3.865 and 2.4.
A. 9.276
B. 9.27
C. 9.2
D. 9.3

Answer 1

3.865 has 4 significant digits.

2.4 has 2 significant digits.

• Product = 3.865 × 2.4 = 9.276

Option - A is correct.

9.276 has 4 significant digits.

Answer 2

☯ AnSwEr :

As, we have to find the product of 3.865 and 2.4, Using significant digits.

So,

★ Number of significant digits in 3.856 = 4

★ Number of significant digits in 2.4 = 2

Now, we will calculate their product.

→ Product = 9.276

$\Large{\implies{\boxed{\boxed{\sf{Product = 9.276}}}}}$

So, option A is correct.

$\rule{200}{2}$

★ Additional Information :

☯ Uncertaininty in measurment

When true value is not equal to experimemtal calculations then there os uncertainty in measurment.

↪ For example 2g of $\sf{H_2}$

Molecules = 602,200,000,000,000,000,000,000

But if we write (602,200,000,000,000,000,000,000) as 6.022 × 10²² then our uncertainty in measurement can reduce.

$\rule{100}{2}$

Now, Mass of H atom.

0.00000000000000000000000166

But if we write (0.00000000000000000000000166) as 6.61 $\times 10^{-25}$

then our uncertainty in measurement can reduce.

→ Meaningful to present the data, realisitiolly accurating with uncertainity.

$\rule{150}{2}$

★ There are three ways to reduce the uncertainty in measurement.

(i) Scientific Notation

(ii) Significant figures

(iii)Dimensional analysis