Scientific Notation and Exponents

Adding

100

True or false: x⁵ + x⁵ = x¹⁰

False

200

(6 x 10⁴) + (3 x 10⁴)

9 x 10⁴

300

(7.2 x 10¹²) + (5.3 x 10¹²)

1.25 x 10¹³

400

(3.4 x 10⁵) + (9.7 x 10⁶)

1.004 x 10⁷

500

(5.3 x 10^-4) + (2 x 10^-2)

2.053 x 10^-2

Subtracting

100

x⁵ - x⁵

0

200

(9 x 10⁷) - (5 x 10⁷)

4 x 10⁷

300

(4.1 x 10^-2) - (2.8 x 10^-2)

1.3 x 10^-2

400

(2.51 x 10^-1) - (9 x 10^-3)

2.42 x 10^-1

500

(3.1 x 10^-18) - (5.4 x 10^-23)

3.099946 x 10^-18

Multiplying

100

6³ * 6⁵ * 9² * 9⁷

6⁸ * 9⁹

200

8³ * 8⁻⁶

1/8³

300

(4.3 x 10⁴) (5.6 x 10⁸)

2.408 x 10¹³

400

(1/5)¹² * (1/5)¹⁰

1²²/5²² or 1/5²²

500

250,000 * 3 x 10^-2

7.5 x 10³

Dividing

100

(8 x 10⁶) / (4 x 10⁴)

2 x 10²

200

9x⁷ / 3x²

3x⁵

300

5^-6 / 5^-3

1/5³

400

48x/12x³

4/x²

500

How many times larger is 0.08 compared to 0.0002

4 x 10² or 400 times bigger

Wildcard

100

(4²)³/4⁶

1

200

(x / y)^-1

y/x

300

(3² * 3³ * 2⁵ * 2⁷) / 2¹⁵

3⁵/2³

400

(3x⁴y)⁴ * 3²y²

3⁶ * x¹⁶ * y⁶

500

(3.6 x 10⁹)/(1.2 x 10³) * 4.5 x 10^-8

1.35 x 10^-1