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 length of a rectangle is doubled and the width is halved, what is the change in area?

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

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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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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A man spends 75% of his income and saves Rs. 600. What is his total income?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If the radius of a circle is doubled, what happens to its area?

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

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