Respuesta :
Answer:
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 :
(a) [tex]2.1\times 10^3[/tex]
(b) [tex]1.7\times 10^{-1}[/tex]
(c) [tex]6.5\times 10^3[/tex]
(d) [tex]1.42\times 10^{1}[/tex]
(e) [tex]9.18\times 10^{-1}[/tex]
(f) [tex]1.48\times 10^{2}[/tex]
(g) [tex]2.9\times 10^{1}[/tex]
(h) [tex]2.06\times 10^{2}[/tex]
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, [tex]2.1\times 10^3[/tex]
(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, [tex]1.7\times 10^{-1}[/tex]
(c) The given expression is: 38 × 95 × 1.792
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, [tex]6.5\times 10^3[/tex]
(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, [tex]1.42\times 10^{1}[/tex]
(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, [tex]9.18\times 10^{-1}[/tex]
(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, [tex]1.48\times 10^{2}[/tex]
(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, [tex]2.9\times 10^{1}[/tex]
(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, [tex]2.06\times 10^{2}[/tex]
