Question

D. Express the following sum to appropriate
number of significant figures:
2.3x10 ml +4.22 X 10^4 mL +9.04*
10 ml +8.71*10^5​

Answer 1

Answer:

The significant figure is 2

Answer 2

The expression of $2.3\times10 ml +4.22\times10^4 ml +9.04\times 10 ml +8.71\times10^5$  to appropriate number of significant figures is $9\times10^5$.

Explanation:

Step 1: Addition of numbers with the same powers

• The numbers with the same power for 10 must be first added. Accordingly,

$2.3\times10+9.04\times10=11.34\times10$

$8.71\times10^5+0.42\times10^5 = 9.132\times10^5$

Step 2: Make the power of 10 as the same number

• As the total values obtained are having different powers for 10, it must be made the same.
• Therefore, when 11.34 is converted it becomes $0.001134\times10^5$.

Step 3: Expression of sum to appropriate number of significant figures

• The final value obtained is $9.132\times10^5$ and $0.001134\times10^5$.
• When these two values are added, it gives

$9.132\times10^5$ +  $0.001134\times10^5$ = $9.13334\times10^5$

• As the number after the decimal point is 1, which is less than 5, it doesn't have any effect on 9.
• Therefore the final answer for $2.3\times10 ml +4.22\times10^4 ml +9.04\times 10 ml +8.71\times10^5$ is $9\times10^5$.

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