Math foundations

Scientific Notation

100

Change from scientific notation to an ordinary number.

5.418 x 10³

5418

200

Change to scientific notation.

0.0004689

4.689 x 10^-4

300

2.181 x 10⁷

21810000

400

2399.1

2.3991 x 10³

500

0.0000000739

7.39 x 10^-8

Sig-figs

100

Round to 1 sig fig.

172

200

200

Round to 2 sig figs.

2187 

2200

300

Round to 2 sig figs.

3019

3.0 x 10³

400

How many sig figs are in 

0.00033

0.10125

0.00200

2, 5, 3

500

How many sig figs are in 

1.0200

23.00

703.0001

5, 4, 7

Solving Equations

100

Solve for u and z.

3u + z = 15

u +2z = 10

z = 3, u = 4

200

Solve for u and v.

6u + v = 18

5u + 2v = 22

u = 2, v = 6

300

Solve for a and v.

5a + 2v = 32

6a + 6v = 42

a = 6, v = 1

400

Solve for b and v.

2b + v = 13

b - v = 8

b = 7, v = -1

500

Solve for a and u.

3a - 5u = 27

2a - u = 9

a = 4, u = -1

Percentages

100

What number is 45% of 60?

27

200

25 is 10% of what number?

250

300

11 is what percent of 55?

0.2

400

What is 60% of 150?

90

500

49 is 35% of what number?

140

Random challenges

100

Convert 45 degrees C to degrees F.  

Hint: What is the equation for this conversion?

113 degrees F

200

Go to slide - interpreting graph

slope = 3/2

equation: y = (3/2) x + 3

300

A mixture contains 2.876 g of the following: 66.07% Carbon, 6.71% Hydrogen, 4.06% nitrogen, and 23.16% Oxygen.  What is the mass of each element?

Carbon: 1.900 g

Hydrogen: 0.1930 g

Nitrogen: 0.1168 g

Oxygen: 0.6661 g

400

Go to slides - Interpreting graph

slope = -2/5

equation: y = (-2/5)x - -2

500

Find the percentage composition of a compound containing 1.94 g of carbon, 0.48 g of hydrogen, and 2.58 g of sulfur.  

carbon: 38.8%

Hydrogen: 9.6%

Sulfur: 51.6%