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 a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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

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

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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What is the HCF of 48 and 180?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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If 2x - 3 = 7, what is the value of x?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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