Operations in Scientific Notation

Scientific Notation

100

Is the following expression written in scientific notation? 

3.25+10-7

If not, explain why. 

No, 3.25 should be multiplied by 10^-7

200

3.629 * 10⁶   

9 * 10⁵ 

Which number is larger?

3.629 * 10⁶

300

Put number in standard notation

7.498*10⁷

74,980,000

400

Write this number in scientific notation 93,000,000

9.3 * 10⁷

500

Write this number in scientific notation 0.000000302

3.2 * 10^-7

Multiplication Changed to Standard Notation

100

(.3 * 10⁹) * (.9 * 10¹)

2,700,000,000

200

(4.5 * 10²)*(1.5 * 10⁴)

6,750,000

300

(5.4 * 10³)*(1.2 * 10⁵)

648,000,000

400

(3.1 * 10⁸) * (3.38 * 10⁷)

10,478,000,000,000,000

500

(3.2 * 10^-2) * (3.2 * 10⁴) * (2.8 * 10²)

286,720

Multiplying

100

(7 * 10⁵) * (5.2 * 10⁴)

36.4 * 10⁹

200

(2 x 10⁴) * (4 x 10²)

8 * 10⁶

300

(2.005 x 10⁵) * (8.664 x 10²)

17.37132 * 10⁷

400

(3.1 * 10⁸) ^* (3.38 * 10⁷)

10.478 * 10¹⁵

500

Light travels at a speed of 1.86 * 10⁵ miles per second. It takes light from the Sun about 4.8 * 10³ seconds to reach Saturn. Find the approximate distance from the Sun to Saturn. 

8.928 * 10⁸

Negative Exponent Multiplying

100

(4*10^-5)*(5*10¹²)

20*10⁷

200

(6*10^-3)*(2*10⁵)

12*10²

300

(5.1*10⁴)*(2.5*10^-3)

12.75*10²

400

(1.25 * 10^-9)(4 * 10⁴)

5 * 10^-5

500

(-3.987 * 10^-4)*(4.23*10^-8)

-16.86501*10^-12