Units, conversions, decimal places and significant figures
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", "stepsPenalty": "10", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "| Metric prefixes in everyday use | \n|||||
|---|---|---|---|---|---|
| Prefix | \nSymbol | \nMultiple of the base unit | \nMultiple of the base unit (as a fraction) | \nMultiple of the base unit (as a power) | \nAlso known as | \n
| T | \n$1\\,000\\,000\\,000\\,000$ | \n$1\\,000\\,000\\,000\\,000$ | \n$10^{12}$ | \ntrillion | \n|
| giga | \nG | \n$1\\,000\\,000\\,000$ | \n$1\\,000\\,000\\,000$ | \n$10^9$ | \nbillion | \n
| mega | \nM | \n$1\\,000\\,000$ | \n$1\\,000\\,000$ | \n$10^6$ | \nmillion | \n
| kilo | \nk | \n$1\\,000$ | \n$1\\,000$ | \n$10^3$ | \nthousand | \n
| h | \n$100$ | \n$100$ | \n$10^2$ | \nhundred | \n|
| deca | \nda | \n$10$ | \n$10$ | \n$10^1$ | \nten | \n
| d | \n$0.1$ | \n$\\frac{1}{10}$ | \n$10^{-1}$ | \ntenth | \n|
| c | \n$0.01$ | \n$\\frac{1}{100}$ | \n$10^{−2}$ | \nhundredth | \n|
| milli | \nm | \n$0.001$ | \n$\\frac{1}{1\\,000}$ | \n$10^{−3}$ | \nthousandth | \n
| micro | \nmc or $\\mu$ | \n$0.000\\,001$ | \n$\\frac{1}{1\\,000\\,000}$ | \n$10^{−6}$ | \nmillionth | \n
| nano | \nn | \n$0.000\\,000\\,001$ | \n$\\frac{1}{1\\,000\\,000\\,000}$ | \n$10^{−9}$ | \nbillionth | \n
| pico | \np | \n$0.000\\,000\\,000\\,001$ | \n$\\frac{1}{1\\,000\\,000\\,000\\,000}$ | \n$10^{−12}$ | \ntrillionth | \n
Of these, mega, kilo, centi and milli are probably the most common in everyday use.
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|---|---|---|---|---|---|
| Prefix | \nSymbol | \nMultiple of the base unit | \nMultiple of the base unit (as a fraction) | \nMultiple of the base unit (as a power) | \nAlso known as | \n
| T | \n$1\\,000\\,000\\,000\\,000$ | \n$1\\,000\\,000\\,000\\,000$ | \n$10^{12}$ | \ntrillion | \n|
| giga | \nG | \n$1\\,000\\,000\\,000$ | \n$1\\,000\\,000\\,000$ | \n$10^9$ | \nbillion | \n
| mega | \nM | \n$1\\,000\\,000$ | \n$1\\,000\\,000$ | \n$10^6$ | \nmillion | \n
| kilo | \nk | \n$1\\,000$ | \n$1\\,000$ | \n$10^3$ | \nthousand | \n
| h | \n$100$ | \n$100$ | \n$10^2$ | \nhundred | \n|
| deca | \nda | \n$10$ | \n$10$ | \n$10^1$ | \nten | \n
| d | \n$0.1$ | \n$\\frac{1}{10}$ | \n$10^{-1}$ | \ntenth | \n|
| c | \n$0.01$ | \n$\\frac{1}{100}$ | \n$10^{−2}$ | \nhundredth | \n|
| milli | \nm | \n$0.001$ | \n$\\frac{1}{1\\,000}$ | \n$10^{−3}$ | \nthousandth | \n
| micro | \nmc or $\\mu$ | \n$0.000\\,001$ | \n$\\frac{1}{1\\,000\\,000}$ | \n$10^{−6}$ | \nmillionth | \n
| nano | \nn | \n$0.000\\,000\\,001$ | \n$\\frac{1}{1\\,000\\,000\\,000}$ | \n$10^{−9}$ | \nbillionth | \n
| pico | \np | \n$0.000\\,000\\,000\\,001$ | \n$\\frac{1}{1\\,000\\,000\\,000\\,000}$ | \n$10^{−12}$ | \ntrillionth | \n
Of these, mega, kilo, centi and milli are probably the most common in everyday use.
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\nWhen rounding to a given number of decimal places, do the following
\nLook at the next number after the last number of the decimal places you need to round to
\nIf the number is 5 or greater, round up, if it is than 5, leave as is; i.e.
\nround to 3 decimal places the following
\n$0.0055 = 0.006$
\n$0.0071 = 0.007$
\n\nWhen rounding to a given number of significant figures
\nWhen rounding to a given number of significant figures, do the following
\nLook at the next number after the last number of the significant figuresyou need to round to
\nIf the number is 5 or greater, round up, if it is than 5, leave as is; i.e.
\nN.B. Remember to keep the number you rounded to the significant number of places in the same unit e.g. 10's, 100's etc
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\n$2573 = 2570$
\n$7828 = 7830$
\nround to 1 significant figures the following
\n$15 = 20$
\n$38851 = 40000$
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