Topic Details (Notes format)

How to Use Scientific Notation

Subject: Mathematics

Book: Maths Mastery

Scientific notation expresses very large or very small numbers in the form m × 10^n, where 1 ≤ m < 10 and n is an integer. For example, the speed of light (~300,000,000 m/s) becomes 3.0 × 10^8 m/s, and a cell’s diameter might be 2.5 × 10^–5 m. To convert a number into scientific notation, move the decimal point until only one nonzero digit appears to its left, counting the moves to determine the exponent sign and magnitude. This is widely used in physics, astronomy, and chemistry to handle extremes in scale. Proficiency with scientific notation is crucial in data science, engineering, and daily tasks like reading a phone’s internal storage capacity or analyzing financial statements.

Practice Questions

If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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The probability of rolling a sum of 7 with two dice is:

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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If 3x = 81, what is the value of x?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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What is the square root of 0.25?

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If a square has a perimeter of 64 cm, what is its area?

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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 sum of the first 50 positive integers?

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