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 10

A distance is measured as 3.6 × 10⁸ meters. Write this distance in standard form.

A population of bacteria is estimated to be 4.2 × 10⁷. If the population doubles, what is the new population in scientific notation?

A scientist measures the mass of a particle as 0.00000000052 grams. Express this mass in scientific notation.

Add the following numbers and write the answer in scientific notation: 3.2 × 10⁵ + 4.5 × 10⁵.

Convert 1.23 × 10^-2 to decimal form.

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

Divide 9 × 10⁹ by 3 × 10³ and write the answer in scientific notation.

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

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

Express 0.0042 in scientific notation.

Express 4,500,000 in scientific notation.

If a number is written as 5.67 × 10ⁿ in scientific notation, what is the value of n for the number 5,670,000?

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

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

Subtract 2.5 × 10⁴ from 6.8 × 10⁴ and write the answer in scientific notation.

Write 7.89 × 10³ in standard form.

A scientist records the mass of a cell as 3.45 × 10^-12 grams. If 2.0 × 10⁷ such cells are combined, what is the total mass in scientific notation?

A spacecraft travels at a speed of 2.5 × 10⁴ meters per second. How far will it travel in 3.2 × 10³ seconds? Express your answer in scientific notation.

Explain why the number 0.45 × 10⁷ is not in proper scientific notation and rewrite it correctly.

Express the product of (6.2 × 10⁵) and (4 × 10^-3) in scientific notation.