Display Numbers to a Specified Precision

You can use the sigform() and decform() functions to display numeric values to a specified number of significant digits or decimal places.

sigform(): Displays a value rounded to the specified number of significant digits. If needed, e notation is used.; The sigform() function is usually used when significant figures are important, such as scientific measurements.
decform(): Displays a value rounded to the specified number of decimal places.; The decform() function is typically used to display like values in the question with a consistent and reasonable precision, for example, to two or three decimal places.

Note If your answer key uses $SIGFIGS or $DECFIGS to require a specified precision, the answer key will be displayed to the correct precision automatically without using the sigform() or decform() functions.

If needed, open your question in the Question Editor.

Some questions are not searchable because of their Permission settings.

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In an <EQN> or <eqn> tag, use either the sigform() or decform() function to display a numeric value.

To do this Do this

Specify the number of significant digits

To do this	Do this
Specify the number of significant digits	Use the following syntax: `sigform(n, digits)` where `n` is the number you want to format, and `digits` is a positive integer specifying the number of significant digits to use.
Specify the number of decimal places	Use the following syntax: `decform(n, digits)` where `n` is the number you want to format, and `places` is a non-negative integer specifying the number of decimal places to use.

Use the following syntax:

sigform(n, digits)

where n is the number you want to format, and digits is a positive integer specifying the number of significant digits to use.

Specify the number of decimal places

Use the following syntax:

decform(n, digits)

where n is the number you want to format, and places is a non-negative integer specifying the number of decimal places to use.

For example:

# sigform examples

$shortpi = sigform($pi,3);   #  3.14
$a = sigform(100,1)          #  100
$b = sigform(100,2)          #  1.0e+02

#decform examples

$shortpi = decform($pi,3);   #  3.142
$a = decform(100,1)          #  100.0
$b = decform(100,2)          #  100.00

Example Question Using sigform()

The following table summarizes an actual question.

QID	`1940827`
Name
Mode	`Numerical`
Question	<eqn> # Pick two different significant figures for the measurements ($m_sigfigs,$v_sigfigs) = pick(2,2..5); # Randomize measurements & round to the specified significant figures $mass = sigform(randnum(300000,1200000,1)/100000,$m_sigfigs); $volume = sigform(randnum(106000,110000,1)/100000,$v_sigfigs); # Calculate answer key and determine correct significant figures $density = $mass/$volume; $d_sigfigs = min($m_sigfigs,$v_sigfigs); '' </eqn> In the lab, you measure the displacement of a metal sphere as <eqn $volume> liters.<BR/> You also determine its mass to be <eqn $mass> kg.<BR/> Calculate its density. <_> kg/l
Answer	`<EQN $SIGFIGS=$d_sigfigs; $density>`
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Example Question Using decform()

The following table summarizes an actual question.

QID	`1944303`
Name
Mode	`Numerical`
Question	`<eqn> # Pick the number of decimal places for the problem ($decimals) = pick(1,2..4); # Randomize addends $a = decform(randnum(100000,999999,1)/10000,$decimals); $b = decform(randnum(100000,999999,1)/10000,$decimals); '' </eqn> <watex>\begin{array}{r} $a \\ + $b \\ \cline{0-0} <_> \end{array}</watex>`
Answer	`<EQN $SIMPLIFIED=1; decform($a + $b, $decimals)> {tab} 0`
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Tip For known constants, you can enclose the value in single quotes to store both the value and the precision with which you specified it. For example, $e = '2.718'; assigns a value to $e with four significant digits.