Question

1) 1.24 x 10^3 + 1.564 x 10^1

Answer 1

Answer :

The answer will be $\Rightarrow 1.24\times 10^4$

The answer will be $\Rightarrow 5.5\times 10^3$

The answer will be $\Rightarrow 4.32\times 10^3$

The answer will be $\Rightarrow 4.64\times 10^{14}$

The answer will be $\Rightarrow 4.1\times 10^{7}$

The answer will be $\Rightarrow 8.05\times 10^4$

The answer will be $\Rightarrow 3.166\times 10^5$

The answer will be $\Rightarrow 3.00\times 10^5$

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 multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

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.

(1) $(1.24\times 10^3)+(1.564\times 10^1)$

$\Rightarrow 1.2415\times 10^4$

In the given expression, 1.24 has 3 significant figures and 1.564 has 4 significant figures. From this we conclude that least precise number present after the decimal point is 2.

Thus, the answer will be $\Rightarrow 1.24\times 10^4$

(2) $(5.8\times 10^3)-(3.156\times 10^2)$

$\Rightarrow 5.484\times 10^3$

In the given expression, 5.8 has 2 significant figures and 3.156 has 4 significant figures. From this we conclude that least precise number present after the decimal point is 1.

Thus, the answer will be $\Rightarrow 5.5\times 10^3$

(3) $\frac{(1.24\times 10^8)}{(2.87\times 10^4)}$

$\Rightarrow 4.3205\times 10^3$

In the given expression, 1.24 has 3 significant figures and 2.87 has 3 significant figures. From this we conclude that 3 is the least significant figures in this problem. So, the answer should be in 3 significant figures.

Thus, the answer will be $\Rightarrow 4.32\times 10^3$

(4) $(8.513\times 10^6)\times (5.45\times 10^7)$

$\Rightarrow 4.6395\times 10^{14}$

In the given expression, 8.513 has 4 significant figures and 5.45 has 3 significant figures. From this we conclude that 3 is the least significant figures in this problem. So, the answer should be in 3 significant figures.

Thus, the answer will be $\Rightarrow 4.64\times 10^{14}$

(5) $(1.24\times 10^3)\times (33000)$

$\Rightarrow 4.0920\times 10^{7}$

In the given expression, 1.24 has 3 significant figures and 33000 has 2 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

Thus, the answer will be $\Rightarrow 4.1\times 10^{7}$

(6) $(4\times 10^3)+(7.65\times 10^4)$

$\Rightarrow 8.0500\times 10^4$

In the given expression, 4 has 1 significant figures and 7.65 has 3 significant figures. From this we conclude that least precise number present after the decimal point is 2.

Thus, the answer will be $\Rightarrow 8.05\times 10^4$

(7) $1000+(3.156\times 10^5)$

$\Rightarrow 3.16600\times 10^5$

In the given expression, 1000 has 1 significant figures and 3.156 has 4 significant figures. From this we conclude that least precise number present after the decimal point is 3.

Thus, the answer will be $\Rightarrow 3.166\times 10^5$

(8) $(5.42\times 10^2)+(3\times 10^5)$

$\Rightarrow 3.00542\times 10^5$

In the given expression, 5.42 has 3 significant figures and 3 has 1 significant figures. From this we conclude that least precise number present after the decimal point is 2.

Thus, the answer will be $\Rightarrow 3.00\times 10^5$

Answer 2

Answer:

1) 1255.64

2) 5484.4

3) 432055749129

4) 4.639585e+14

5) 40920000

6) 80500

7) 316600

8) 300542

Explanation: