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 cube root of 729?

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If 2x - 3 = 7, what is the value of x?

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If 8x = 512, what is the value of x?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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

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What is the sum of all even numbers between 1 and 100?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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

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What is the remainder when 5^100 is divided by 3?

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