Scientific Notation
Applying Multiplication and Division
Find the product. Write your answer in
Scientific Notation
4
6
(2.3 𝑥 10 )(4 𝑥 10 )
Find the product. Write your answer in
Scientific Notation
›ANSWER: 9.2 x
10
10
Write the quotient in Scientific Notation
9
(8.8 𝑥 10 )
4
(2 𝑥 10 )
›ANSWER: 4.4 x
5
10
Find the sum. Give your answer in Scientific
Notation
4
7.5 𝑥 10
6
+ (6.32 𝑥 10 )
›ANSWER: 6.395 x
6
10
Find the difference. Give your answer in
Scientific Notation
35
7.68 𝑥 10
34
− (3.21𝑥 10 )
›ANSWER: 7.359 x
35
10
Find the quotient. Give your answer in
Scientific Notation
−9
(3 𝑥 10 )
−4
(5 𝑥 10 )
ANSWER: 6 x
-6
10
Write an expression to represent the problem.
Then simplify your expression.
The mass of an electron is approximately 9.1 𝑥 10−31
kilograms. What is the approximate mass of 2,000
electrons? Give your answer in scientific notation.
1.
Write an expression then
2. Simplify the expression
ANSWER
3
-31
(2 x 10 )(9.1 x 10 )
1.82 x
-27
kilograms
10
Write an expression to represent the problem.
Then simplify your expression.
The wavelength of an orange light wave is
approximately 6.2 𝑥 10−7 meters. The wavelength of a
green light is approximately 2 𝑥 10−10 meters. How
many times greater is the wavelength of the orange
light than the wavelength of the green light?
ANSWER:
-7
-10
(6.2 x 10 )/(2 x 10 )
3
times
greater
3.1 x 10
Or about 3000
› The wavelength of an orange light wave is
approximately 6.2 x 10-7 meters. The wavelength of a
blue light is approximately 2.1x10-7 meters. How much
longer is the blue wave length than the orange wave
length?
ANSWER:
-7
-7
(6.2 x 10 ) – (2.1 x 10 )
4.1 x
-7
10 meters
longer
Write an expression to represent the problem.
Then simplify your expression.
› The speed of sound is approximately 3 𝑥 108 meters
per second. How far does sound travel in 4.5 𝑥 103
seconds?
ANSWER
8
3
(3 x 10 )(4.5 x 10 )
1.35 x
12
10
meters
Write an expression to represent the problem.
Then simplify your expression.
The speed of sound is approximately 3 𝑥 108 meters
per second. How long does it take sound to travel
6,000 meters ?
ANSWER:
3
8
(6 x 10 ) / (3 x 10 )
2x
-5
10
seconds