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 8x = 512, what is the value of x?

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

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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If a number is divisible by 9, it is also divisible by which of the following?

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

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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 a:b = 3:4 and b:c = 5:6, what is a:c?

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What is the sum of the interior angles of a hexagon?

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

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