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Standard to Scientific
Scientific to Standard
(Negative)
Scientific to Standard (Positive)
Define
Compare numbers
100

Convert this from standard notation to scientific notation: 7,500,000

7.5 x 106

100

Write this in standard notation: 3.6 x 10-4

0.00036

100

Write this in scientific notation:  2400 

2.4 x 103

100
Why do we use scientific notation?
To represent very small or very large numbers
100

Comparing these numbers. Which sign makes this true. < , >, or =

3.40 × 102 _____   3.40 × 103

n^-10

n^-4

n^14

1/n^10

200

Convert this from standard notation into scientific notation: 0.000037

3.7 x 10-5

200

Write this in scientific notation: 0.0745 

7.45 x 10-2

200

Write this in standard notation: 7.12 x 106

7,120,000

200
What does a positive exponent mean?
The number is large
200

Comparing these numbers. Which sign makes this true. < , >, or =.

7.4 × 101 _____  470

<

300

Convert this from standard notation into scientific notation: 6,300,000,000

6.3 x 109

300

Write this in standard notation: 5.9 x 10-8

0.000000059

300

Write this in scientific notation:52,310,000 

5.231 x 107

300
What does a negative exponent represent?
A very small number
300

Comparing these numbers. Which sign makes this true. < , >, or =.

8.96 × 101 ______ 89.06

>

400

Convert this from standard notation into scientific notation: 54,500

5.45 x 104

400

Write this in scientific notation: 0.0000000000111

1.11 x 10-11

400

Write this in standard notation: 8.35 x 1012

8,350,000,000,000

400

Where is the first non zero on 123345.34? 

1

400

Comparing these numbers. Which sign makes this true. < , >, or =.

2.8 × 10–12 ________ 2.8 × 10–10

< 

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: 90,000,000,000

9 x 1010

500

What is wrong with the answer 35 x 105

It is not written in scientific notation.
500

Comparing these numbers. Which sign makes this true. < , >, or =.

2.38 × 10–60 ________ 2.38 × 10–58

<