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NSWMaths Standard 2Quick questions
Year 11: Measurement
Quick questions on Scientific notation and significant figures for HSC Maths Standard 2
6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is writing a large number in standard form?Show answer
For a number bigger than , put the decimal point after the first non-zero digit and count the places back to where it started (the right-hand end). The Earth-Sun distance is
What is writing a small number in standard form?Show answer
For a number between and , the point moves the other way, to the right, until it sits just after the first non-zero digit, and the power is negative. An atom's radius of
What is reading standard form on a calculator?Show answer
A calculator shows standard form to save space. A display like 6.022E23 or 6.022^23 means , not . The E (or a small raised number) stands for "times ten to the power". A display of 4.5E-7 means .
What are significant figures?Show answer
Significant figures are the digits in a number that carry real information about its size and accuracy, as opposed to zeros that are only holding place value. The rules for which digits count are:
What are rounding to a given number of significant figures?Show answer
To round to significant figures, keep the first significant digits, then look at the next digit: if it is or more, round the last kept digit up; otherwise leave it. The place-holding zeros (or the power of ) are then set to keep the number the right size. For example,
What is wrong sign on the power?Show answer
Large numbers take a positive power, numbers below take a negative power. A negative power does not make the number negative; is a small positive number.
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