1.

Express the following sum to appropriate number of significant figures:a.2.3× 103 ML+4.22×104ML+9.04×103ML+8.71×105MLb.319.5g - 20460g -0.0639 g -45.645g -4.173g​

Answer»

Answer :

9.2\times 10^5mL(a) The answer will be

-20190g(b) The answer will be

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 addition and subtraction is :

The LEAST precise number present after the DECIMAL point determines the number of significant figures in the answer.

(a) The sum of the measured values are,

(2.3\times 10^3mL)+(4.22\times 10^4mL)+(9.04\times 10^3mL)+(8.71\times 10^5mL)

\Rightarrow 9.2\times 10^5mL

In the given expression, (2.3\times 10^3) has 2 significant figures, (4.22\times 10^4) has 3 significant figures, (9.04\times 10^3) has 3 significant figures and (8.71\times 10^<klux>5</klux>) has 3 significant figures. From this we conclude that least precise number present after the decimal point is 1.

Thus, the answer will be 9.2\times 10^5mL

(a) The sum of the measured values are,

319.5g-20460g-0.0639g-45.645g-4.173g​

\Rightarrow -20190g

In the given expression, 319.5 has 4 significant figures, 20460 has 5 significant figures, 0.0639 has 3 significant figures, 45.645 has 5 significant figures and 4.173 has 4 significant figures. From this we conclude that least precise number present after the decimal point is 0.

Thus, the answer will be -20190g


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