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Worksheet Scientific Notation Significant Figures with Key, Exercises of Chemistry

Calculate to correct scientific notation, convert numbers into scientific notation

Typology: Exercises

2020/2021

Uploaded on 04/20/2021

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Worksheet Scientific Notation/Significant Figures
#1
1. Convert each of the following into scientific notation.
a) 3427
b) 0.00456
c) 123,453
d) 172
e) 0.000984
f) 0.502
g) 3100.0 x 102
h) 0.0114 x 104
i) 107.2
j) 0.0000455
k) 2205.2
l) 30.0 x 10-2
m) 0.982 x 10-3
n) 0.0473
o) 650.502
p) 3.03 x 10-1
q) 20.4 x 105
r) 1.29
s) 0.00565
t) 1362205.2
u) 450.0 x 103
v) 1000 x 10-3
2. Determine the number of significant figures in each of the following:
a) 3427
b) 0.00456
c) 123,453
d) 172
e) 0.000984
f) 0.502
g) 3100.0 x 102
h) 0.0114 x 104
i) 107.2
j) 0.0000455
k) 2205.2
l) 30.0 x 10-2
m) 0.982 x 10-3
n) 0.0473
o) 650.502
p) 3.03 x 10-1
q) 20.4 x 105
r) 1.29
s) 0.00565
t) 1362205.2
u) 450.0 x 103
v) 1000 x 10-3
w) 546,000 + 10
x) 546,000 + 1000
3. Convert each into decimal form.
1.56 x 104
0.56 x 10-2
736.9 x 105
0.00259 x 105
0.000459 x 10-1
6.9 x 104
0.00259 x 103
0.0209 x 10-3
4. Calculate the following. Give the answer in correct scientific notation.
a) 4.53 x 105 b) 1913.0
+ 2.2 x 106 - 4.6 x 103
c) 2.34 x 1024 d) 2.130 x 103
+ 1.92 x 1023 - 6.6 x 102
e) 9.10 x 103 f) 1113.0
+ 2.2 x 106 - 14.6 x 102
g) 6.18 x 10-45 h) 4.25 x 10-3
+ 4.72 x 10-44 - 1.6 x 10-2
5. Calculate the following. Give the answer in correct scientific notation.
a) 3.95 x 102/1.5 x 106 b) (3.5 x 102)(6.45 x 1010)
c) 4.44 x 107 /2.25 x 105 d) (4.50 x 10-12)(3.67 x 10-12)
e) 1.05 x 10-26 / 4.2 x 1056 f) (2.5 x 109)(6.45 x 104)
g) 6.022 x 1023 / 3.011 x 10-56 h) (6.88 x 102)(3.45 x 10-10)
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Download Worksheet Scientific Notation Significant Figures with Key and more Exercises Chemistry in PDF only on Docsity!

1. Convert each of the following into scientific notation.

a) 2.7 x 10^6 b) - 2.7 x 4. Calculate the following. Give the answer in correct scientific notation.

a) 3.95 x 10^2 /1.5 x 10^6 b) (3.5 x 10^2 )(6.45 x 10^10 )

c) 4.44 x 10^7 /2.25 x 10^5 d) (4.50 x 10-^12 )(3.67 x 10-^12 )

e) 1.05 x 10-^26 / 4.2 x 10^56 f) (2.5 x 10^9 )(6.45 x 10^4 )

  1. Convert each of the following into scientific notation.

727 _________________________________

172000 _________________________________

0.000984 _________________________________

200.0 x 10^2 _________________________________

0.014 x 10^2 _________________________________

2560000000000000000000000000000000 __________________________

(use 4 sig. fig.)

  1. Convert each into decimal form.

1.56 x 10^4 _________________________________

3.6 x 10-2^ _________________________________

736.9 x 10^5 _________________________________

0.0059 x 10^5 _________________________________

0.00059 x 10-1^ _________________________________

a) 2.63 x 10-^4 b) 2.3 x 5. Calculate the following. Give the answer in correct scientific notation.

a) 2.34 x 10^65 b) 313.

  • 9.2 x 10^66 - 1.2 x 10^3
  1. Calculate the following. Give the answer in correct scientific notation.

a) 8.95 x 10^76 / 1.25 x 10^56 b) (4.5 x 10^29 )(2.45 x 10^100 )

  1. Give the number of significant figures in each of the following.

a) 1.05 g ______ b) 0.0003040 mm ______

c) 29000 + 10 ft ______ d) 0.90 x 10^45 L ______

e) The number of eggs (12) that make up a dozen ______

  1. Determine the answer for each of the following. Be sure to use the correct number of significant figures.

a) 17.34 b) 9. 4.900 - 4.

c) 3.9 x 6.05 x 420 = d) 14.1 / 5 =

  1. Round each of the following to 3 significant figures.

77.0653 ____________ 6,300,178.2 ______________

0.00023350 _____________ 10.2030 _______________

2.895 x 10^21 ______________

1. Convert each of the following into scientific notation.

  • a) 3427 b) 0.00456 c) 123,
  • d) 172 e) 0.000984 f) 0.
  • g) 3100.0 x 10^2 h) 0.0114 x 10^4 i) 107.
  • j) 0.0000455 k) 2205.2 l) 30.0 x 10-
  • m) 0.982 x 10-^3 n) 0.0473 o) 650.
  • p) 3.03 x 1 0 -^1 q) 20.4 x 10^5 r) 1.
  • s) 0.00565 t) 1362205.2 u) 450.0 x
  • v) 1000 x 10-
  • a) 3427 b) 0.00456 c) 123, 2. Determine the number of significant figures in each of the following:
  • d) 172 e) 0.000984 f) 0.
  • g) 3100.0 x 10^2 h) 0.0114 x 10^4 i) 107.
  • j) 0.0000455 k) 2205.2 l) 30.0 x 10-
  • m) 0.982 x 10-^3 n) 0.0473 o) 650.
  • p) 3.03 x 10-^1 q) 20.4 x 10^5 r) 1.
  • s) 0.00565 t) 1362205.2 u) 450.0 x
  • v) 1000 x 10-^3 w) 546,000 + 10 x) 546,000 +
  • 1.56 x 104 0.56 x 10-^2 3.69 x 10-^2 736.9 x 3. Convert each into decimal form.
  • 0.00259 x 10^5 0.000459 x 10-^1 13.69 x 10-^2 6.9 x
  • 0.00259 x 10^3 0.0209 x 10-
    • a) 4.53 x 10^5 b) 1913. 4. Calculate the following. Give the answer in correct scientific notation.
        • 2.2 x 10^6 - 4.6 x
    • c) 2.34 x 10^24 d) 2.130 x
        • 1.92 x 10^23 - 6.6 x
    • e) 9.10 x 10^3 f) 1113.
        • 2.2 x 10^6 - 14.6 x
    • g) 6.18 x 10-^45 h) 4.25 x 10-
        • 4.72 x 10-^44 - 1.6 x 10-
  • Answers #
  • a) 3.427 x 10^3 b) 4.56 x 10-^3 c) 1.23453 x
  • d) 1.72 x 10^2 e) 9.84 x 10-^4 f) 5.02 x 10-
  • g) 3.1000 x 10^5 h) 1.14 x 10^2 i) 1.072 x
  • j) 4.55 x 10-^5 k) 2.2052 x 10^3 l) 3.00 x 10-
  • m) 9.82 x 10-^4 n) 4.73 x 10-^2 o) 6.50502 x
  • p) 3.03 x 10-^1 q) 2.04 x 10^6 r) 1.29 x 10^0 = 1.
  • s) 5.65 x 10-^3 t) 1.3622052 x 10^6 u) 4.500 x
  • v) 1.000 x 10^0 = 1.
  • a) 4 b) 3 c) 2. Determine the number of significant figures in each of the following:
  • d) 3 e) 3 f)
  • g) 5 h) 3 i)
  • j) 3 k) 5 l)
  • m) 3 n) 3 o)
  • p) 3 q) 3 r)
  • s) 3 t) 8 u)
  • v) 4 w) 5 x)
  • 15600 + 100 0.0056 0.0369 73690000 + 3. Convert each into decimal form.
  • 259 0.0000459 0.1369 69000 +
  • 2.59 0.
  • a) 2.7 x 10^6 b) - 2.7 x 4. Calculate the following. Give the answer in correct scientific notation.
  • c) 2.53 x 10^24 d) 1.47 x
  • e) 2.2 x 10^6 f) - 3.5 x
  • g) 5.34 x 10-^44 h) - 1.2 x 10-
  • a) 2.63 x 10-^4 b) 2.3 x 5. Calculate the following. Give the answer in correct scientific notation.
  • c) 1.97 x 10^2 d) 1 .65 x 10-
  • e) 2.5 x 10-^83 f) 1.6 x
  • g) 2.000 x 10^79 h) 2.37 x 10-

Answers #

  1. Convert each of the following into scientific notation.

7.27 x 10^2

1.72000 x 10^5

9.84 x 10-

2.000 x 10^4

2.560 x 10^33

  1. Convert each into decimal form.
  1. Calculate the following. Give the answer in correct scientific notation.

a) 9.434 x 10^66 b) - 8.87 x 10^2

  1. Calculate the following. Give the answer in correct scientific notation.

a) 7.16 x 10^20 b) 1.1025 x 10^130

  1. Give the number of significant figures in each of the following.

a) 1.05 g 3

b) 0.0003040 mm 4

c) 29000 + 10 ft 4

d) 0.90 x 10^45 L 2

e) the number of eggs (12) that make up a dozen infinite

  1. Determine the answer for each of the following. Be sure to use the correct number of significant figures.

a) 45.3 b) 5.

c) 2.53 x 10^24 d) 1.47 x