Study Guide Overview

Vocabulary:

• Matter• Volume• Celsius scale• Measurement• Mass

• Weight• Organic chemistry• Chemistry• Temperature• International

System of Units (SI)

Rules of RoundingWhen rounding to a certain place value (ex: the tenth) look at the next digit.

48.46 48.5

• If that digit is 0-4 then leave the number the same.

• If that digit is 5 or higher then round the number up one.

Prefix MeaningsNumeric Values

kilo 1000hecto 100deka 10 deci 0.1

centi 0.01milli 0.001

Temperature Conversions

5/9(F-32) = (F-32) 1.8

9/5(C) + 32 = 1.8(C) + 32

Scientific Notation

Only one digit to the left of the decimalDigit must be equal to or greater than one and less than 10

m x 10n

m is the coefficient and n is the exponent

5.67 x 108

Significant Figures CalculationsPreform the operation and round to the correct significant figure

Multiplying and dividing, limit and round to the least number of significant figures.

Ex: 23.0 x 432 x 19 = 188 78419 only has 2 significant figures so round answer to 2

significant figures

Answer: 190 000

Adding and subtracting, limit and round your answer to the least place value.

Ex: 123.25 + 46.0 + 86.257 = 255.50746.0 is only to the tenths place value so round answer

to the tenths place

Answer: 255.5

Want to exempt out of the test with an A?

You can take the challenge.

One challenge question that covers all our concepts.

Get it right and you get an A and do not have to take the test.

426 970 831 527 839.062 927 148

Ones 9

Hundreds 8

Tenths 0

Thousandths 2

What digit is in the tenths place?

76.5 5

564.92 9

What digit is in the hundredths place?

38.1238 2

0.28 8

What digit is in the tens place?

382.302 8

4736.02 3

What digit is in the thousands place?

41000 1

816 214 983 4

What digit is in the thousandths place?

439.016 6

564.9287 8

Convert Using Metric to English Conversion Sheet

16 in = 16 x 2.54 = 40.64 cm

62 acres = 62 x 0.40 = 24.80 hectares

57 lb = 57 x 4.45 =253.65 N

Convert Within the Metric System

18 km = 18000 m

496.87 kg = 496870000 mg

0.2 cm = 0.002 m

Convert the Temperature

87 °F = 5/9(87-32) = 5/9(55) = 30.6 °C

-13 °F = 5/9(-13-32) = 5/9(-45) = -25 °C

14 °C = 9/5(14) + 32 = 25.2 + 32 = 57.2 °F

73 °C = 9/5(73) + 32 = 131.4 + 32 = 163.4 °F

Write following in scientific notation

10 = 1 x 101

4829300000 = 4.8293 x 109

0.001 = 1 x 10-3

0.00002341 = 2.341 x 10-5

Write in standard notation

1.562 x 106 = 1562000

4.59 x 104 = 45900

5.69 x 10-2 = 0.0569

7.32 x 10-5 = 0.0000732

Add and Subtract Scientific notation

(1.42 x 104) + (7.105 x 105) = (0.142 x 105) + (7.105 x 105) =

(0.142 + 7.105) x 105 = 7.247 x 105

(1.41 x 10-3) – (1.31 x 10-4) = (1.41 x 10-3) – (0.131 x 10-3) =

(1.41-0.131) x 10-3 = 1.279 x 10-3

Multiply in scientific notation

(6.0 x 104)(8.0 x 105) =(6.0 x 8.0) x 104+5 = 48 x 109

(3.1 x 10-1)(7.2 x 105) =(3.1 x 7.2) x 10-1+5 = 22.32 x 104

Divide in scientific notation

(2.4 x 107) ÷ (3.5 x 109) =(2.4 ÷ 3.5) x 107-9 = 0.69 x 10-2

= 6.9 x 10-3

(9.0 x 10-1) ÷ (3.0 x 10-3) =(9.0 ÷ 3.0) x 10-1-(-3) = 3.0 x 102

Significant Figures

1234 4780.0 40.0001 19.010 x 10-2 4

Solve and round to proper sig. fig.

12.037 – 3.93 = 8.107 = 8.11

6.79 + 1.1 = 7.89 = 7.9

0.059 x 36.524 x 3006 = 6477.6774 = 6500

500 ÷ 84.12 = 5.9438896 = 6