Applying Multiplication and Division Scientific Notation Applying Multiplication and Division

Find the product. Write your answer in Scientific Notation (2.3 𝑥 10 4 )(4 𝑥 10 6 )

Find the product. Write your answer in Scientific Notation ANSWER: 9.2 x 1010

Write the quotient in Scientific Notation (8.8 𝑥 10 9 ) (2 𝑥 10 4 )

ANSWER: 4.4 x 105

Find the sum. Give your answer in Scientific Notation 7.5 𝑥 10 4 +(6.32 𝑥 10 6 )

ANSWER: 6.395 x 106

Find the difference. Give your answer in Scientific Notation 7.68 𝑥 10 35 −(3.21𝑥 10 34 )

ANSWER: 7.359 x 1035

Find the quotient. Give your answer in Scientific Notation (3 𝑥 10 −9 ) (5 𝑥 10 −4 )

ANSWER: 6 x 10-6

Write an expression to represent the problem 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 (2 x 103)(9.1 x 10-31) 1.82 x 10-27 kilograms

Write an expression to represent the problem 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: (6.2 x 10-7)/(2 x 10-10) 3.1 x 103 times greater Or about 3000

The wavelength of an orange light wave is approximately 6 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: (6.2 x 10-7) – (2.1 x 10-7) 4.1 x 10-7 meters longer

Write an expression to represent the problem Write an expression to represent the problem. Then simplify your expression. The speed of sound is approximately 3 𝑥 10 8 meters per second. How far does sound travel in 4.5 𝑥 10 3 seconds?

ANSWER (3 x 108)(4.5 x 103) 1.35 x 1012 meters

Write an expression to represent the problem Write an expression to represent the problem. Then simplify your expression. The speed of sound is approximately 3 𝑥 10 8 meters per second. How long does it take sound to travel 6,000 meters ?

ANSWER: (6 x 103) / (3 x 108) 2 x 10-5 seconds