Topic Details (Notes format)

How to Convert Units (Metric System)

Subject: Mathematics

Book: Maths Mastery

Unit conversion is fundamental in science, engineering, and everyday tasks like cooking or traveling. Within the metric system, units scale by powers of ten, simplifying conversions. Common prefixes include kilo- (1,000), centi- (1/100), and milli- (1/1,000). For example, converting 2.5 kilometers to meters involves 2.5 × 1,000 = 2,500 meters. Similarly, 350 milliliters can be written as 0.35 liters. Memorizing base relationships—like 1 kg = 1,000 g or 1 m = 100 cm—lets you fluidly shift between units. This skill is crucial for tasks ranging from diet planning to constructing measurement-based projects and scientific research protocols.

Practice Questions

What is the slope of a line passing through the points (2, 3) and (4, 7)?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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If 2x = 16, what is the value of x?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If x^2 - 5x + 6 = 0, what are the roots?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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