Scientific Notation Worksheet With Answer Key Page 2
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1
2Entering numbers in a calculator using scientific notation.
Scientific calculators have the capacity to accept and perform calculations using scientific
notation. To enter a number in scientific notation, use the "EE" or "EXP" key. When using
scientific notation on a calculator, do not type in "x10", or “^”, the "EE" or "EXP" key replaces
that part of the number.
Example: Enter 2.35 × 10
5
on a scientific calculator.
Solution: enter 2.35 "EE" 5 or 2.35 "EXP" 5. The calculator displays the number in one of many
E 5
possible formats. For example: 2.35E5, 2.35EE5, or 2.35
, etc., just to name a few. Practice
entering some numbers in scientific notation to familiarize yourself with your calculator’s
notation.
Perform the calculations using a scientific notation.
(
)
(
)
Example: Multiply 2.35 × 10
5.8 × 10
5
6
Solution: enter 2.35 "EE" 5 or 2.35 "EXP" 5
press the multiply “X” key
enter 5.8 ”EE” 6 or 5.8 ”EXP” 6
press “=” or “ENTER”
1.363 × 10
12
Practice: Use a calculator to perform the calculations. Round decimals to three places.
3.6 × 10
(
)
(
)
(
)
(
)
29
a) 4.62 × 10
2.4 × 10
b) 4.62 × 10
÷ 2.4 × 10
15
5
15
5
c)
(
)
(
)
2.3 × 10
7.1 × 10
3
7
Solution:
a) 1.1088 × 10
b) 1.925 × 10
c) 2.205 × 10
21
10
18
Homework:
1. Write each number in scientific notation: a) 245,000,000,000 b) 15,000
c) 7,895,000
2. Write each number in decimal notation: a) 6.98 × 10
b) 3.0 × 10
c) 4.7 × 10
4
9
14
Perform each of the calculations using a scientific calculator. Leave your answer in scientific
notation. Round decimals to three places.
(
)
(
)
(
)
(
)
(
)
(
)
3. 4.53 × 10
3.98 × 10
3.5 × 10
4.8 × 10
5. 8.5 × 10
÷ 2.25 × 10
5
4
4.
3
2
13
2
(
)
(
)
(
)
(
)
7.91 × 10
6.52 × 10
4.2 × 10
3.44 × 10
11
5
1.95 × 10
9
8
17
6.
7.
8.
(
)
(
)
(
)
(
)
8.1 × 10
4.25 × 10
2.3 × 10
2.1 × 10
5.2 × 10
8
3
4
3
4
Answers:
1. a) 2.45 × 10
b) 1.5 × 10
c) 7.895 × 10
11
4
6
3. 1.803 × 10
10
2. a) 69,800
b) 3,000,000,000
c) 470,000,000,000,000
4. 1.68 × 10
5. 3.778 × 10
6. 6.367 × 10
7. 1.995 × 10
8. 1.323 × 10
6
11
8
9
10
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