Unit 8.4 Review

Scientific/standard Notation

100

Is this considered scientific notation?

92 x 10 ^-2

NO, 92 is not equal to/more than 1 and less than 10

200

Is this considered scientific notation?

8.5 x 10 ^1.5

Yes

300

Is this considered scientific notation?

6x10³

YES, 6 is equal to or more than 1 but less than 10

400

Is this considered standard notation?

.4500

NO, it has to be equal to 1 and less than 10

500

Is this standard notation?

2.3500

Yes, 2.3 is equal to or more than 1 but less than 10

Multiply

100

4⁵ x 4⁴

4⁹

^{add the exponents}

^{When the bases are the same, you do not multiply them.}  

^{When the bases are different, you multiply them}

200

15⁶ x 5⁷

75¹³

^{add the exponents}

^{When the bases are the same, you do not multiply them.}  

^{When the bases are different, you multiply them}

300

(3 x 10)⁹ x (3 x 10)³

3 x 10¹²

^{add the exponents}

^{When the bases are the same, you DO NOT multiply them.}  

^{When the bases are different, you DO multiply them}

400

(5 x 10)⁴ x (2 x 10)³

10 x 10⁷

^{add the exponents}

^{When the bases are the same, you do not multiply them.}  

^{When the bases are different, you multiply them}

500

(6 x 10)² x (4 x 10)⁸

24 x 10¹⁰

^{add the exponents}

^{When the bases are the same, you do not multiply them.}  

^{When the bases are different, you multiply them}

Divide

100

2³/2¹

2²

Subtract the exponents

When the bases are the same, you do not divide them.  

When the bases are different, you divide them

200

4⁶/2²

2⁴

Subtract the exponents

When the bases are the same, you do not divide them.  

When the bases are different, you divide them

300

4 x 10¹²/4 x 10¹⁰

4 x 10²

Subtract the exponents

When the bases are the same, you do not divide them.  

When the bases are different, you divide them

400

10 x 10⁴/5 x 10²

2 x 10²

Subtract the exponents

When the bases are the same, you do not divide them.  

When the bases are different, you divide them

500

6 x 10⁵/3 x 10³

2 x 10²

Subtract the exponents

When the bases are the same, you do not divide them.  

When the bases are different, you divide them

Science is my favorite

100

Convert to scientific notation

.0045

4.5 x 10³

200

Convert to scientific notation

65,000

6.5 x 10⁴

300

Convert to scientific notation

890000000000

8.9 x 10¹¹

400

Convert to scientific notation

000012345

1.2345 x 10^-5

500

Convert to scientific notation

.0000067

6.7 x 10^-6

I'm a standard to follow

100

Convert to standard form

2.3 x 10⁷

23,000,000

200

Convert to standard form

4 x 10²

400

300

Convert to standard form

5 x 10⁸

500,000,000

400

Convert to standard form

7 x 10^-4

.0007

500

Convert to standard form

6.2 x 10^-7

.00000062