Exponents
Powers of 10
Scientific Notation w/ Positive Powers of 10
Scientific Notation w/ Negative Powers of 10
Addition and Subtraction with Scientific Notation
100

Simplify:

33

27

100

Write as a fraction.

10-3

1/1000

100
Convert to scientific notation:

64,000
6.4 x 104
100
Convert to scientific notation:

0.000487
4.8 x 10-4
100

(3.2×10^5)+(4.7×10^5)

7.9 x 10^5

200

Simplify:

24

16

200

Write as a power of 10.

1,000,000

106

200

Convert to standard notation:


8.5 x 102

850

200
Convert to standard notation:

2 × 10-5
0.00002
200

(5.6×10^6)−(2.3×10^5)

5.37×10^6

300

Simplify:

54

625

300

Write as a power of 10.

0.01

10-2

300
Convert to scientific notation:

3,090,000
3.09 x 106
300
Convert to scientific notation:

0.0417
4.17 × 10-2
300

NASA recorded two distances:

  • The distance from Earth to Mars: 2.4×10^8 km
  • The distance from Earth to Venus: 1.08×10^8 km

Question:
How much farther is Mars from Earth than Venus?


Solution Tip: Subtract the two values since both are in 10^8 form.


1.32 x 10^8

400

Simplify:

4-3

1/64

400

Write as a decimal. 

10-1

0.1

400
Convert to standard notation:

1.209 x 108
120,900,000
400
Convert to standard notation:

3.582 × 10-6
0.000003582
400

A city had a population of 3.25×10^6 people in 2020. By 2025, the population increased by 4.7×10^5 people.

Question:
What is the total population in 2025?

3.72 x 10^6

500

Simplify:

91,870,1230

1

500

A single droplet of water has a volume of 10^-3 liters.

Question:
Express this volume as:

  • a fraction
  • a decimal

1/1000 & 0.001

500

Convert to scientific notation:


9,070,000,000,000,000

9.07 x 1015

500
The mass of a proton is about 1.7 × 10-24 gram. Write this number in standard notation.
0.0000000000000000000000017
500

A satellite transmitted:

  • 3.6×10^9 bytes of data on Monday,
  • 2.4×10^9 bytes on Tuesday,
  • But 1.2×10^9 bytes were lost due to interference.

Question:
What is the total amount of data successfully transmitted over the two days?

4.8 x 10^9

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