Question

Find out the sum of 4.075, 2.09, and 0.075 using the correct number of significant digits.
A. 6.2
B. 6.24
C. 6.165
D. 6.245

Answer 1

Answer:

Option B

Step-by-step explanation:

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Answer 2

☯ AnSwEr :

As, we have to find the sum of 4.075, 2.09 and 0.075, Using significant digits.

So,

★ Number of significant digits in 4.075 = 4

★ Number of significant digits in 2.09 = 3

★ Number of significant digits in 0.075 = 4

Now, we will calculate their sum.

→ Sum = 6.24

$\Large{\implies{\boxed{\boxed{\sf{Sum = 6.24}}}}}$

So, option B 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