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In ancient times our ancestors do not have a standard tool to measure distance, time, space and volume problems and sometimes the meanings do not match. Bodindecha (Sing Singhaseni) Samut Prakan.
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In ancient times our ancestors do not have a standard tool to measure distance, time, space and volume problems and sometimes the meanings do not match. Bodindecha (Sing Singhaseni) Samut Prakan
When the contact between community Trade exchange He made the unit of measurement and instruments used to measure the meaning was clear to match up Bodindecha (Sing Singhaseni) Samut Prakan
For measuring the length of sequence evolution is approximately In the early stages. Use of parts. The body is like an inch threshold reference, a creep, an elbow, a wah, Bodindecha (Sing Singhaseni) Samut Prakan
but still can not tell anyway because it was clear progress, elbows, of that community just by using the measured length is not equal Bodindecha (Sing Singhaseni) Samut Prakan
In Thailand in 2466 declared the Year of Weights and Measures Act, section by using the metric system of measurement units. The Act has specific units to measure length, volume and mass area for the purpose to purchase, especially in such trading. Bodindecha (Sing Singhaseni) Samut Prakan
Objective • Know and use tools to measure the • length of what was to measure. • Compare the length of the unit of • measurement systems. Bodindecha (Sing Singhaseni) Samut Prakan
Measurement measure is called the measure. Measurement time is called timing. Measurement of weight is called poise Bodindecha (Sing Singhaseni) Samut Prakan
Measurement Length are millimeters centimeters meters kilometers miles inches feet yards. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Measurement area are Square two-meters Square meter Work RAI. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Measurement volume Cubic centimeter Cubic meter Liter Tank Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Measurement weight Gram Point Kilogram Pound Ton Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Measurement time Second Minute Hour day Month Year Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Measurement temperature Kelvin degree Celsius degree Farenhine Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Measuring tools Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Unit measurement in the metric system 10 millimeters equals 1 centimeter.100 centimeters equals 1 meter.1000 meters equals 1 kilometer. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Unit measurement system in England 1 inch equals 12 feet.3 feet equals 1 yard1,760 yards equals 1 mile Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Unit measurement system in Thailand 12 inch equal 1 draw 2 draw equal 1 cubit4 cubit equal 1 wah 20 wah equal 1 line 400 lines equal 1 benefit1 wah equal 2 meters Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length 1 inch equal 0.54 centimeter1 yard equal 0.9144 meter1 mile equal 1.6093 kilometer Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length The measurement of length When the size of a quantity is determined using a defined unit, it is know as a measurement. Length is a measurement of distance between two point. It measures how far two points are apart. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length The unit of length are millimeter (mm), centimeter (cm), meter (m) and kilometer (km). We can use instruments like a ruler or measuring tape to measure the length of a straight line. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length The length of a curved line can be measured using a string and the ruler Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Converting a quantity of length into other units In the metric system, the basic unit for measuring length is meter (m) Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length The relationship between the unit of measurement for the length are as follows; 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length The following diagram illustrates the conversion of the unit length; 1000 10 100 mm km m cm ÷100 ÷1000 ÷10 Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Convert 2 m into cm, 594 m into km, 4.6 m into mm. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Solution 100 m cm a) 2 m = (2 100) cm = 200 cm ÷ 1000 km m b) 549 m = (549 ÷ 1000) km = 200 cm Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length c) 4.6 m = (4.6 100 10) mm = (4.6 1000) mm = 4600 mm Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Convert 4 m 6 cm into cm, 4598 cm into m and cm. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Solution a) 4 m 6 cm = 4 m + 6 cm = (4 100) cm + 6 cm = 400 cm + 6 cm = 406 cm Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length b) 4598 cm = (4598 ÷ 100) m = 45.98 m = 45 m + 0.98 m = 45 m + (0.98 100) cm = 45 m + 98 cm = 45 m 98 cm Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Estimating the length of and object Giving an estimation of a measurement means to guess a quantity of the measurement of and object without using any measuring instruments. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length The length of and object can be estimated using an appropriate unit. For example, if we have and idea of how long one meter is, then we can give and estimation of the length of a classroom in meter. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Calculation involving length Example Evaluate 890 mm + 4.5 cm and give the answer in mm. Evaluate 10 m – 6.8 m and give the answer in inc and cm. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Solution 890 mm + 4.5 cm = 890 mm + (4.5 10) mm = 890 mm + 45 mm = 935 mm Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Solution 10 m 45 cm – 6.8 m = 10 m 45 cm – (6 m + 0.8 m) = 10 m 45 cm – [6 m + (0.8 100) cm] = 10 m 45 cm – (6 m + 80 cm) = 10 m 45 cm – 6 m + 80 cm = 3 m 65 cm Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Example Evaluate 5 m 78 cm 6 and give your answer in m. Evaluate 265 km 56 cm ÷ 4 and give your answer in km. Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Solution 5 m 78 cm 6 = [5 m + (78 ÷ 100)m] 6 = (5 m + 0.78 m) 6 = 5.78 m 6 = 34.68 m Bodindecha (Sing Singhaseni) Samut Prakan
2.2 Measurement of Length Solution 265 km 56 m ÷ 4 = [265 km + (56 ÷ 1000) km] ÷ 4 = 265.056 km ÷ 4 = 66.264 km Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area E Problem - solving A piece of 4 – metre long ribbon is cut into 1.6 m. 50 cm and two other equal pieces. The length of each equal piece of ribbon, in cm, is A 95 B 190 C 167 D 235 Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area Solution The total length of two equal pieces = 4 m - 1.6 m - 50 cm = 400 cm - 160 cm - 50 cm = 190 cm The length of each equal piece = = 95 cm Answer : A Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area 6.2 Perimeter A Identifying the of region perimeter 1. The perimeter of a region is the total length of all the sides that enclose the region. Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area Example Q p R T S Identify the perimeter of the diagram above. Solution Perimeter = PQ + QR + RS + ST + TP Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area B Finding the perimeter of a region enclosed by straight lines 1. To find the perimeter of a region enclosed by straight lines, we add the lengths of all the sides that enclose the region. Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area Example Find the perimeter of each of following diagrams. S 5 cm (b) (a) R 6 cm 3 cm 4 cm 6 cm Q P 8 cm Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area Solution Perimeter = 6+ 3+ 6+ 3 = 18 cm (b) Perimeter = PQ + QR + RS + SP = 8 + 4 + 5 + 6 = 23 cm Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area C Problem - solving Example A piece of wire with a length 62 cm is cut into two pieces. One piece is bent to form a rectangle with a length 15 cm and a breadth 7 cm. The other piece is bent to form an equilateral triangle. Find the length of each side of the triangle. Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area Solution Perimeter of the rectangle = (215) + (2 7) = 44 cm Perimeter of the triangle = 62 - 44 = 18 cm Length of each side of the triangle = = 6 cm Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area Test Yourself 1. Identify the perimeter of each of the following diagrams. (a) (B) P B A Q S C D E R Bodindecha (Sing Singhaseni) Samut Prakan
2.3 Measurement of area 2. the perimeter of each of the following diagrams. (a) (B) 8 cm 5 cm 6 cm Bodindecha (Sing Singhaseni) Samut Prakan