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

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

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If x^2 - 6x + 9 = 0, what is the value of x?

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The probability of rolling a sum of 7 with two dice is:

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How many ways can 4 people sit in a row?

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What is the sum of the first 20 odd numbers?

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What is the sum of all angles in a hexagon?

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How many diagonals does a pentagon have?

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

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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:b = 2:3 and b:c = 4:5, what is a:c?

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