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

A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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

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

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A sphere has a radius of 7 cm. What is its volume?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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What is the sum of the first 50 positive integers?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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What is the sum of all angles in a hexagon?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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