1.

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»

☯ 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



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