Topic Details (Notes format)

How to Round Numbers (Nearest Whole, Tenth, Hundredth)

Subject: Mathematics

Book: Maths Mastery

Rounding numbers helps to simplify data interpretation, especially when dealing with lengthy decimals or when exact precision is not essential. The core principle: if the digit to the right of your rounding place is 5 or more, you round up; otherwise, you round down. For instance, to round 3.678 to the nearest tenth, look at the hundredths digit (7); since it’s ≥ 5, 3.678 becomes 3.7. Similarly, rounding 3.678 to the nearest hundredth yields 3.68. Rounding is widely used in financial transactions (rupee/cents rounding), scientific measurements, and everyday approximations for easier communication and calculation.

Practice Questions

If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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What is the square root of 144?

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

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What is the cube root of 729?

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What is the probability of drawing an ace from a standard deck of 52 cards?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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What is the length of the diagonal of a square with a side length of 7 cm?

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

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

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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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