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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What is the sum of all even numbers between 1 and 50?

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What is the sum of all even numbers between 1 and 100?

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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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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 x:y = 4:5 and y:z = 2:3, what is x:z?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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What is the cube root of 729?

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What is the square root of 121?

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