☰ Contents · Geometry

Length of a segment and measuring

Lessons 5–6 · 2 lessons · Geometry Grade 7, corrected and expanded 3rd edition. Yangiyo‘l Poligraf Servis, Tashkent, 2017 (approved by the Ministry of Public Education)
6

Measuring segments

Textbook: pp. 16–17
GoalKnow length units and measuring tools, and convert units.
New words
unit of length · uzunlik birligiruler · chizg‘ichtape measure · ruletkascale · masshtab
Explanation

Units of length: 1 km = 1000 m, 1 dm = 0.1 m, 1 cm = 0.01 m, 1 mm = 0.001 m. The value of a segment’s length depends on the chosen unit: AB = 5 cm = 50 mm. We measure length with a ruler, tape measure, tailor’s tape, calipers, and in surveying with electronic instruments. On a map, distances are found by the scale: if 1 cm on the map means 100 km, a 4 cm segment on the map stands for 400 km. Measuring on a map is only approximate because the Earth is not flat and cities are not points. Some countries use units such as 1 inch = 2.54 cm and 1 mile = 1.609 km.

Worked examples
Map scale 1 cm = 50 km. If the segment between two cities is 6 cm, the real distance is 6 · 50 = 300 km (approximately).
2 m 35 cm = 235 cm = 2350 mm.
Class activity

“Span and pace”: each pupil measures their own hand span and pace with a ruler, then measures the desk in spans and converts to centimetres. Work only inside the classroom or another safe place.

Practice
1
How many metres is 3 km 40 m? (in m)
2
Map scale 1 cm = 20 km. How many km does 7 cm stand for? (in km)
3
How many metres is 1 mm?
4
Why is a distance measured on a map only approximate?