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Flashcards · Maths · Standard Form and Accuracy

Calculating with Standard Form

16 cards

  1. How do you multiply numbers in standard form?

    Multiply the first parts and add the powers.

  2. How do you divide numbers in standard form?

    Divide the first parts and subtract the powers.

  3. What is \(10^3 \times 10^4\)?

    \(10^7\).

  4. What is \(10^8 \div 10^3\)?

    \(10^5\).

  5. What is \(10^7 \div 10^{-2}\)?

    \(10^9\).

  6. What if the first part is 20 after multiplying?

    Change it to 2 and increase the power by 1.

  7. How do you add numbers in standard form?

    Write them with the same power, then add the first parts.

  8. How do you subtract numbers in standard form?

    Write them with the same power, then subtract the first parts.

  9. What is \((2 \times 10^3) \times (3 \times 10^4)\)?

    \(6 \times 10^7\).

  10. What is \(3 \times 10^4 + 5 \times 10^3\)?

    \(3.5 \times 10^4\).

  11. Why not add the powers when adding?

    The numbers have different sizes, so the powers must be made the same first.

  12. What should the answer look like?

    A number in standard form, with the units.

  13. How can you check an addition?

    Write the numbers as ordinary numbers.

  14. What is \((4 \times 10^{-3}) \times (2 \times 10^{-2})\)?

    \(8 \times 10^{-5}\).

  15. What is \(\dfrac{6 \times 10^5}{2 \times 10^2}\)?

    \(3 \times 10^3\).

  16. What is \(5 \times 10^6\) divided by \(5 \times 10^6\)?

    1.