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

If x + y = 10 and xy = 21, what is the value of x³ + y³?

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What is the sum of the first 10 positive even numbers?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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How many diagonals does a pentagon have?

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

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If two complementary angles differ by 30°, what are the angles?

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What is the value of log₃(27)?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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If the probability of an event is 1/4, what is the probability of its complement?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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