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Flashcards · Maths · Standard Form and Accuracy

Standard Form

16 cards

  1. What is standard form?

    A way of writing a number as \(A \times 10^n\), with \(A\) at least 1 and less than 10.

  2. Which numbers have a positive power of 10?

    Numbers of 10 or more.

  3. Which numbers have a negative power of 10?

    Numbers between 0 and 1.

  4. What is 45 000 in standard form?

    \(4.5 \times 10^4\).

  5. What is 0.0032 in standard form?

    \(3.2 \times 10^{-3}\).

  6. Is \(45 \times 10^3\) in standard form?

    No, because 45 is not between 1 and 10.

  7. How do you write \(45 \times 10^3\) in standard form?

    \(4.5 \times 10^4\).

  8. What does \(10^{-2}\) equal?

    \(\dfrac{1}{100} = 0.01\).

  9. How do you write \(3.2 \times 10^5\) as an ordinary number?

    320 000.

  10. Which is bigger, \(5 \times 10^{-3}\) or \(8 \times 10^{-5}\)?

    \(5 \times 10^{-3}\).

  11. How do you compare numbers in standard form?

    Compare the powers first, then the first parts.

  12. What is 150 million in standard form?

    \(1.5 \times 10^8\).

  13. When the decimal point moves left, is the power positive or negative?

    Positive.

  14. When the decimal point moves right, is the power positive or negative?

    Negative.

  15. What is \(10^0\)?

    1.

  16. Why use standard form?

    To write very large or very small numbers briefly and clearly.