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

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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If x - y = 5 and x + y = 15, what is the value of x?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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What is the cube root of 729?

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What is the HCF of 72 and 120?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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