Chemistry, 12.08.2019 17:30 yasherebernalgoxa5kc

Perform the following calculation and report each answer with the correct number of significant figures.
(a) 62.8 x 34
(b) 0.147 + 0.0066 + 0.012
(c) 38 x 95 x 1.792
(d) 15 - 0.15 - 0.6155
(e) 8.78 x (0.0500/0.478)
(f) 140 + 7.68 + 0.014
(g) 28.7 - 0.0483
(h) (88.5 - 87.57)/45.13

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Answer from: tynan74

Explanation:

a) 2135.2 ⇒ 2100(rounding to two significant figures)

b) 0.1656⇒0.166 ( rounding to 3 digits after decimal)

c) 6469.12⇒6500(rounding to 2 significant figures)

d) 14.2345 ⇒14.23(rounding to two digits after decimal)

e) 0.9184⇒ .918(rounding to 3 significant figures)

f) 147.694 ⇒147.69 (rounding to 2 digits after decimal)

g)28.6517⇒28.7(rounding to one digit after decimal)

h).0206⇒ .02( rounding to one significant digit)

Answer from: harleyy6134

Answer :

(a) $2.1\times 10^3$

(b) $1.7\times 10^{-1}$

(d) $1.42\times 10^{1}$

(e) $9.18\times 10^{-1}$

(f) $1.48\times 10^{2}$

(g) $2.9\times 10^{1}$

(h) $2.06\times 10^{2}$

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.

(a) The given expression is: 62.8 × 34

62.8 × 34 = 2135.2

In the given expression, 62.8 has 3 significant figures and 34 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.

The answer will be, $2.1\times 10^3$

(b) The given expression is: 0.147 + 0.0066 + 0.012

0.147 + 0.0066 + 0.012 = 0.1656

In the given expression, 0.147 has 3 significant figures, 0.0066 has 2 significant figure and 0.012 has 2 significant figures. From this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, $1.7\times 10^{-1}$

38 × 95 × 1.792 = 6469.12

In the given expression, 38 and 95 has 2 significant figures and 1.792 has 4 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.

The answer will be, $6.5\times 10^3$

(d) The given expression is: 15 - 0.15 - 0.6155

15 - 0.15 - 0.6155 = 14.2345

In the given expression, from this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, $1.42\times 10^{1}$

(e) The given expression is: 8.78 × (0.0500 ÷ 0.478)

8.78 × (0.0500 ÷ 0.478) = 0.91841

In the given expression, 8.78 and 0.478 has 3 significant figures and 0.0500 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.

The answer will be, $9.18\times 10^{-1}$

(f) The given expression is: 140 + 7.68 + 0.014

140 + 7.68 + 0.014 = 147.694

In the given expression, from this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, $1.48\times 10^{2}$

(g) The given expression is: 28.7 - 0.0483

28.7 - 0.0483 = 28.6517

In the given expression, from this we conclude that 1 is the least significant figures after decimal in this problem. So, the answer should be in 1 significant figures.

The answer will be, $2.9\times 10^{1}$

(h) The given expression is: (88.5 - 87.57) ÷ 45.13

(88.5 - 87.57) ÷ 45.13 = 0.02061

In the given expression, 88.5 has 3 significant figures, 87.57 has 4 significant figures and 45.13 has 4 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.

The answer will be, $2.06\times 10^{2}$

Answer from: Quest

the accuracy of the data.

Answer from: Quest

Thermohaline circulation and gyres

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