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

What is the cube root of 729?

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A car travels 240 km in 4 hours. What is its average speed?

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

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What is the greatest common divisor (GCD) of 36 and 48?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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What is the sum of the first 20 odd numbers?

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If the sum of three consecutive integers is 96, what are the integers?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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