Standard to Scientific
Scientific to Standard
(Negative)
Scientific to Standard (Positive)
Multiplying
Define
100
Convert this from standard notation to scientific notation: 7,500,000
7.5 x 10^6
100

Write this in standard notation: 3.6 x 10-4

0.00036

100

Write this in standard notation: 2.4 x 103

2400

100

Multiply and express in scientific notation: (2 x 104)(4 x 104)

8 x 10^8

100
Why do we use scientific notation?
To represent very small or very large numbers
200
Convert this from standard notation into scientific notation: 0.000037
3.7 x 10^-5
200

Write this in standard notation: 7.45 x 10-2

0.0745

200

Write this in standard notation: 7.12 x 106

7,120,000

200

Multiply and express in scientific notation: (1.2 x 106)(2 x 10-2)

2.4 x 10^4

200
What does a positive exponent mean?
The number is large
300
Convert this from standard notation into scientific notation: 6,300,000,000
6.3 x 10^9
300

Write this in standard notation: 5.9 x 10-8

0.000000059

300

Write this in standard notation: 5.231 x 107

52,310,000

300

Multiply and express in scientific notation: (7.1 x 10^-8)(8 x 104)

5.68 x 10^-5

300
What does a negative exponent represent?
A very small number
400
Convert this from standard notation into scientific notation: 54,500
5.45 x 10^4
400

Write this in standard notation: 1.11 x 10-11

0.0000000000111

400

Write this in standard notation: 8.35 x 1012

8,350,000,000,000

400

Multiply and express in scientific notation: (1.67 x 10-21)(6 x 103)

1.002 x 10^-19

400
The very first part of a number written in scientific notation must be written how?
The very first part of a number written in scientific notation must be a number between 1 and 10.
500
Convert this from standard notation into scientific notation: 0.0021
2.1 x 10^-3
500

Write this in standard notation: 9.145 x 10-12

0.000000000009145

500

Write this in standard notation: 9 x 1010

90,000,000,000

500

Multiply and express in scientific notation: (6.02 x 1023)(1.67 x 10-27)

1.005 x 10^-3

500

What is wrong with the answer 35 x 105

It is not written in scientific notation.
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