Theory
Adding
Subtracting
Mixed Scientific Notation and Sig figs
Measurement Conversions
100

Is the following expression written in scientific notation? If not, explain why: 3.25+10-7

No, 3.25 should be multiplied by 10-7

100

Solve the expression (3.7 x 109) + (9.04 x 109)

1.274 x 1010

100

Solve the expression (7 x 105) - (5.2 x 104)

6.48 x 105

100

How many sig figs in 0.502?

3sf

100

0.003km → cm

0.003 × 1000=3 m 

3 × 100=300 cm | or 3.0 × 10² cm

200

Keep the last significant figure digit the same and do not round up if the number after is..

What is less than five?

200

Solve (4.53 x 105) + (2.2 x 106)

What is 2.6 x 106?

200

Solve (2 x 104) - (4 x 102)

1.96 x 104

200

(3.0×102)(2.0×103

3.0 × 2.0=6.0 

10× 103=105

6.0 × 105  

200

300K→

(use K - 273 = C)

27 C

300

The size of the Sahara desert is about 3.629 x 106 square miles and the Arabian desert is about 9 x 105 square miles. Which desert is larger? Explain how you know.

What is Sahara, because it has a larger exponent?

300

Solve (5.4 x 103)+(1.2 x 105)

1.254 x 105

300

(2.130 x 103) - (6.6 x 102)

What is 1.5 x 103

300

Round 77.0653 to three significant figures.

What is 77.1?

300

60miles/hour → m/s

(Use: 1 mile = 1609 m, 1 hr = 3600 s)  

60 × 1609 / 3600 ≈26.8m/s

400

Round the last significant figure digit up if the number after is...

What is greater than five?

400

The population of the United States is 3.1 x 108 and the population of Canada is 3.38 x 107 . What is the total population?

3.438 x 108

400

Solve (2.005 x 105) - (8.664 x 103) and round to 2 significant figures.

2.0 x 105

400

2.0×102 / 6.0×105

6.0 ÷ 2.0 = 3.0 

105-2=103

 

400

A sample has a density = 7.8 g/cm³ and a volume  of 15 cm³. 

Write the dimensional analysis set up only!

15cm3 ×1 cm / 37.8 g

500

How many sig figs in the following expression?

0.982 x 10^-3

What is 3?

500

Solve (3.2 x 10-2) + (3.2 x 10-4)+ (2.8 x 10-2)

6.032 x 10-2

500

(5.2 x 104) - (1.5 x 102) - (4.6 x 104)

5.85 x 103

500

Convert to standard number 736.9 x 10

What is 73690000?

500

68∘F→K

(hint: convert to C first)

293.15