LAMCLAMC SSC Title V HSISSC Title V HSICreated by: Aramik YousefianCreated by: Aramik YousefianPresented by : Lilit HaroyanPresented by : Lilit Haroyan

Length

So, 3 ft = 0.9144 m

Relations of U.S. and Metric Units• 1 in = 2.54 cm (exact)• 1 yd = 0.9144 m (exact)• 1 mi = 1.609 km

Relations in U.S. units • 1 mi = 5280 ft• 1 mi = 1760 yd• 1 ft = 12 in

MassRelations of U.S. and Metric units• 1 lb = 0.4536 kg• 1 oz = 28.35 g Relations in U.S. units• 1 lb = 16 ozKilogram

kg

More Conversion Examples

More Conversion Examples

A cooler has a capacity of 5500 ml. What is the capacity in Liters?

Ethyl alcohol has density of 0.79 g/ml. What is the volume in ml of 1.5kg of alcohol?

How many ml of olive oil (d=0.92g/ml)

weigh the same as 1.2L of gasoline (d=0.66g/ml)

5500 ml 1 Lx 1000ml

= 5.5 L

1000 g1.5 kg x 1 kg

1 mlx 0.79 g

= 1900 ml

1.2 L gas 1000 mlx 1 L

0.66 gx 1 ml

= 792 g gas

mass of olive oil = mass of gasoline = 792 g 1 ml792 g oil x 0.92 g

= 860 ml

Put the decimal after the first digit.Put the decimal after the first digit.

After the decimal place, After the decimal place, there are 11 places leftthere are 11 places left

So, we drop the zeros and So, we drop the zeros and write…write…

1.23 x 10 1.23 x 10 1111

Write 0.0000000000436 in scientific notation.Write 0.0000000000436 in scientific notation.

0 . 0 0 0 0 0 0 0 0 0 0 4 3 60 . 0 0 0 0 0 0 0 0 0 0 4 3 6 1 2 3 4 5 6 7 8 9 10 11

4.36 × 104.36 × 10–11–11

Convert 0.00000000578 to scientific notation.Convert 0.00000000578 to scientific notation.

0 . 0 0 0 0 0 0 0 0 5 7 80 . 0 0 0 0 0 0 0 0 5 7 8 1 2 3 4 5 6 7 8 9

5.78 × 105.78 × 10–9–9

• All non-zero digits are All non-zero digits are always significantalways significant..

• All zeros between two significant digits are All zeros between two significant digits are always significantalways significant..

• All zeros before the first non-zero digit are All zeros before the first non-zero digit are never significantnever significant. .

• All zeros after the last non-zero digit and after the decimal are All zeros after the last non-zero digit and after the decimal are always always significantsignificant. .

• Trailing zeros before the decimal are ambiguous and therefore assumed Trailing zeros before the decimal are ambiguous and therefore assumed to to not be significantnot be significant..

1 2 3 4 5 6 7 8 91 2 3 4 5 6 7 8 9

1 2 0 4 5 0 0 9 8 0 1 41 2 0 4 5 0 0 9 8 0 1 4

0 0 0 5 5 2 0 4 8 1 0 0 40 0 0 5 5 2 0 4 8 1 0 0 4

1 2 0 0 0 0.1 2 0 0 0 0. 5 2 . 0 0 0 05 2 . 0 0 0 0

0 0 5 5 . 0 0 0 0 5 5 . 0 0 0 . 0 0 4 30 . 0 0 4 3

0.000.0035350022000022005.05.05680568000000.00300.00301010

2 sig figs 2 sig figs 0.000.003535

6 sig figs 6 sig figs 000022005.022005.0

3 sig figs 3 sig figs 568568000000

4 sig figs 4 sig figs 0.000.0030103010

Rounding DecimalsRounding Decimals

0,1,2,3 and 4 are always rounded down

5,6,7,8 and 9 are always rounded up

3.1416 3.1416 rounded to hundredths is rounded to hundredths is 3.143.14

1.2635 1.2635 rounded to tenths is rounded to tenths is 1.31.3

1.2635 1.2635 rounded to 3 decimal places is rounded to 3 decimal places is 1.2641.264

Rounding whole NumbersRounding whole Numbers

134.9 134.9 rounded to tens is rounded to tens is 130130

12,690 12,690 rounded to thousands is rounded to thousands is 13,00013,000

1.239 1.239 rounded to units is rounded to units is 11

Significant digit calculations Significant digit calculations

multiplication and division When multiplying or dividing numbers, the answer must contain the same number of significant figures as the measurement with the lowest number of significant figures.

addition and subtraction When adding or subtracting numbers, the answer must contain the same number of decimal places as the measurement with the lowest number of decimal places.

(1.353) x (0.12) = 1.6

(15.12) + (5.8) = 20.9

MoreMore CalculationsCalculations

(3.5) (4.544) = 5

3.1808

6.48 x 0.22 = 1.4256

8.06 = 2.9

2.7793103

0.006 + 5.24 = 5.246

1.4

5.25

2.8

3

PercentagePercentage %%

7777 = 77%= 77% 100100

9696 = 96%= 96%100100

Percentage Calculation Percentage Calculation

What is 35% of 68?What is 35% of 68? XX 3535 = = 68 10068 100

100100XX (68)(35) (68)(35) ==100 100100 100

XX = 24 = 24

24 is 35% of 68.24 is 35% of 68.

15 is what percentage of 80?15 is what percentage of 80?

1515 XX = = 80 10080 100

8080XX (15)(100) (15)(100) == 80 8080 80

XX = 19 = 19

19% of 80 is 15.19% of 80 is 15.

your result - accepted value% error = X 100 accepted value

Also written as

experimental value - theoretical value% error = X 100 theoretical value

A student measures the volume of a 1.50 liter container to be 1.67 liters. What is the percent error in the student's measurement?

1.50 - 1.67

1.67

Experimental Value: 1.50 LTheoretical value: 1.67 L

% error = X 100

- 0.17

1.67X 100 = 10% error