Scientific Notation

Math ⇒ Number and Operations

Scientific Notation starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Scientific Notation. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

A number is written as 6.0 × 10ⁿ and equals 0.006. What is the value of n?

A scientist measures the mass of a particle as 6.022 × 10^-23 grams. What is this number in standard decimal notation?

A value is given as 9.8 × 10² N. What is this value in standard decimal notation?

Add (4.5 × 10³) + (3.2 × 10²) and express the answer in scientific notation.

Convert 3.2 × 10^-5 to standard decimal notation.

Divide (1.2 × 10^-4) by (4 × 10^-2) and express the answer in scientific notation.

Divide (8 × 10⁶) by (2 × 10²) and write the answer in scientific notation.

Explain the steps to convert a number from standard decimal notation to scientific notation.

Explain why scientific notation is useful when dealing with very large or very small numbers.

Express 0.00056 in scientific notation.

If a number is written as 2.5 × 10ⁿ and equals 25,000, what is the value of n?

If the population of a city is 2.35 × 10⁷, what is the population in standard decimal notation?

If the speed of light is approximately 3.00 × 10⁸ m/s, how would you write 300,000,000 m/s in scientific notation?

If you multiply two numbers in scientific notation, (a × 10^m) × (b × 10ⁿ), what is the general rule for the result?

Multiply (3 × 10⁴) × (2 × 10³) and express the answer in scientific notation.

Subtract (6.0 × 10⁵) - (2.5 × 10⁴) and write the answer in scientific notation.

A certain virus has a diameter of 1.2 × 10^-7 meters. If 5,000 such viruses are lined up end to end, what is the total length in scientific notation?

A laboratory sample contains 2.5 × 10¹² molecules. If each molecule has a mass of 3.2 × 10^-23 grams, what is the total mass of the sample in scientific notation?

Explain how to convert the result of a calculation such as 0.045 × 10⁶ into proper scientific notation.

Express the product of (4.2 × 10⁷) and (3.5 × 10^-4) in scientific notation.