Perform Basic Mensuration and Calculation MECHANICAL DRAFTING 8 TLE_ICTTD7/8MC-0g-2 CONVERSION OF FRACTIONS TO DECIMAL AND VICE VERSA
Definition of Terms: Geometrical figure composed of two straight lines intersecting at one of their extremities. A_ _ _E NGL
Definition of Terms: Act or process of or result of calculating C_ _ _ _ _ _ _ _ _N ALCULATIO
Definition of Terms: Closed curve where all points are equally distant from the center. C_ _ _ _ E IRCL
Definition of Terms: Consist of two or more circles with a common center. C_ _ _ _ _ _ _ _C ONCENTRI
Definition of Terms: Number expressed in a counting system that uses units of 10, especially a decimal fraction. D_ _ _ _ _L ECIMA
Definition of Terms: Number expressed in a counting system that uses units of 10, especially a decimal fraction. D_ _ _ _ _ _ _N IMENSIO
Definition of Terms: System scaled in inches where one foot equals 12 inches. E_ _ _ _ _H NGLIS
Definition of Terms: Special kind of equation. It is a mathematical rule expressing the relationship of two or more quantities by means of numerals, variables and operating symbols F_ _ _ _ _A ORMUL
Definition of Terms: Characterized by straight lines, regular curves, and angles. G_ _ _ _ _ _ _ _ _ _ _ _E EOMETRIC SHAP
Definition of Terms: Lines which make a 900 angle with each other. P_ _ _ _ _ _ _ _ _ _ _R ERPENDICULA
Definition of Terms: Length of a straight line connecting the center of a circle with a point on the circumference of a circle. R_ _ _ _S ADIU
Definition of Terms: Measure of reference. S_ _ _ _ _ _D TANDAR
TEST I. - A. Convert fractions into decimals . 1. ¼ to decimal _____________ 2. ¾ to decimal _____________ 3. 7/16 to decimal _____________ 4. 3/8 to decimal _____________ 5. 1/8 to decimal _____________ B. Convert decimals into fractions . 6. 0.35 _____________ 7. 0.24 _____________ 8. 0.75 _____________ 9. 0.125 _____________ 10. 0.150 _____________
TEST II. Round off the following numbers to their nearest hundredths. 11. 76.3456 _____________ 12. 93.674 _____________ 13. 27.009 _____________ 14. 4.6245 _____________ 15. 5.2532 _____________
CHANGING FRACTIONS TO DECIMALS Any rational number can be changed from fractional form to decimal form. This is done by simply dividing the numerator by the denominator.
ILLUSTRATIVE EXAMPLES A. Therefore, equal 0.8
ILLUSTRATIVE EXAMPLES B. Therefore, equal 0.75
Review Convert the given fractions to decimals. 1 8 0.125 = 125 1000
Review Convert the given fractions to decimals. 3 8 0.375 = 375 1000
Learning Objectives: 1. Identify the systems of measurement; 2. Convert units of linear measurement; 3. Appreciate the importance of converting measurement from English to Metric and vice versa.
English System - provides a creative way on how people can measure by themselves.
Metric System - is a decimal system of measurement. It exists in several variations with different choices of basic units.
The basic SI Unit (International System of Unit) is called the meter . The meter is equivalent to 100 centimeters. Each centimeter is composed of 10 millimeters.
English System of Measurement 12 inches (in) = 1 foot (ft) 3 feet (ft = 1 yard (yd) 1 yard (yd) = 36 inches (in)
English Conversion Table 1 inch (in) = 25.4 mm = 2.54 cm = 0.0254 m 1 foot (ft) = 304.8 mm = 30.48 cm = 0.3048 m
English Conversion Table 1 yard (yd) = 914.4 mm = 91.44 cm = 0.9144 m
Metric Conversion Table 1 millimeter (mm) = 0.03937 inch 1 centimeter = 0.3937 inch 1 meter = 39.37 inches
Conversion of Units of Measurement length in inch x 0.0254 = length in meter length in inch x 2.54 = length in centimeter length in feet ÷ 3.28 = length in meter length in meter x 39.37 = length in inch length in inch ÷ 39.37 = length in meter length in feet x 0.305 = length in meter length in feet x 30.5 = length in centimeter
Let’s Convert! 80 cm = _________ inch 1 inch = 2.54 cm Solution: 80 cm x 1 inch 2.54 cm 80 x inch 2.54 = 31.496 inches
Let’s Convert! 4 inches = _______ cm 1 inch = 2.54 cm Solution: 4 in x 2.54 cm 1 in 4 (2.54 cm) 1 = 10.16 cm
Let’s Convert! 75 cm = _______ m 1 m = 100 cm Solution: 75 cm x 1 m 100 cm 75 m 100 = 0.75 m
Let’s Convert! 30 cm = _______ ft 1 ft = 30.48 cm Solution: 30 cm x 1 ft 30.48 cm 30 x 1 ft 30.48 = 0.984 ft 30 ft 30.48
Activity Convert the measurements and round-off your answer to two decimal places.
Calculate the following word problem by converting the given unit to another unit. Show your solution. Problem #1 What is the answer if we convert 11 inches to centimeters? Problem #2 How long is 16 meters in feet? Problem #3 Shane measures the floor of his room using a meter stick and its length measures 9 meters. What is 9 meters in inches?
Problem #1 What is the answer if we convert 11 inches to centimeters?
Problem #1 11 inches = _______ cm 1 inch = 2.54 cm Solution: 11 in x 2.54 cm 1 in 11 (2.54 cm) 1 = 27.94 cm
Problem #2 How long is 16 meters in feet?
Problem #2 16 m = _______ ft 1 feet = 0.3048 m Solution: 16 m x 1 ft 0.305 m 16 (1 ft) 0.305 = 52.49 ft
Problem #3 Shane measures the floor of his room using a meter stick and its length measures 9 meters. What is 9 meters in inches?
Problem #3 9 m = _______ inches 1 inch = 0.0254 m Solution: 9 m x 1 inch 0.0254 m 9 (1 inch) 0.0254 = 354.33 inches
I know ……. I will do …… I will share ….
I know that the two Systems of measurement are the English and Metric System. I will do the proper way and procedure in converting linear measurements. I will share this knowledge to my family and friends.
YOU CANNOT CONVERT PEOPLE BEYOND YOUR OWN CONVERSION
Problem #4 John’s table measures 5 meters while Joseph’s table is 350 centimeters long. Whose table is longer? John’s table
Problem #5 Donna made a 6 yards long curtain while Mica made a 216 inches long curtain. Whi ch of them made the longer curtain? Dona and Mica have the same length of curtain. 6 yards = 216 inches