Printable Reference

Temperature Conversion Chart

Four scales. Readings and changes.

Build your chart

Readings and changes, kept clear.

Chart quantity

Chart type

Reading reference set

Prepared rows use Celsius as their source scale. Every row includes all four supported scales.

Every generated reading must be at or above absolute zero. Descending series are checked through their last row.

View temperature chart

Precision and working

Chart significant figures

Show exact chart fractionsShow chart calculation steps

Decimal/scientific values support twenty significant digits, eighty characters and written exponents from negative thirty through thirty. Fractions support one hundred digits per component and two hundred forty characters per field. Display digits do not add measurement accuracy.

Chart presets

Your temperature reading chart

Original twelve Celsius readings. 12 rows across all four scales. Display uses 10 significant figures; approximation signs identify rounded values.

These are conventional absolute readings. All generated rows are at or above absolute zero. Scale offsets are included before display rounding.

Temperature Conversion Chart — Original twelve Celsius readings
Degrees Celsius reading (source)	Degrees Fahrenheit reading	Kelvin reading	Degrees Rankine reading
$-40.00000000\,{}^{\circ}\mathrm C$	$-40.00000000\,{}^{\circ}\mathrm F$	$233.1500000\,\mathrm K$	$419.6700000\,{}^{\circ}\mathrm R$
$-20.00000000\,{}^{\circ}\mathrm C$	$-4.000000000\,{}^{\circ}\mathrm F$	$253.1500000\,\mathrm K$	$455.6700000\,{}^{\circ}\mathrm R$
$0\,{}^{\circ}\mathrm C$	$32.00000000\,{}^{\circ}\mathrm F$	$273.1500000\,\mathrm K$	$491.6700000\,{}^{\circ}\mathrm R$
$10.00000000\,{}^{\circ}\mathrm C$	$50.00000000\,{}^{\circ}\mathrm F$	$283.1500000\,\mathrm K$	$509.6700000\,{}^{\circ}\mathrm R$
$20.00000000\,{}^{\circ}\mathrm C$	$68.00000000\,{}^{\circ}\mathrm F$	$293.1500000\,\mathrm K$	$527.6700000\,{}^{\circ}\mathrm R$
$25.00000000\,{}^{\circ}\mathrm C$	$77.00000000\,{}^{\circ}\mathrm F$	$298.1500000\,\mathrm K$	$536.6700000\,{}^{\circ}\mathrm R$
$30.00000000\,{}^{\circ}\mathrm C$	$86.00000000\,{}^{\circ}\mathrm F$	$303.1500000\,\mathrm K$	$545.6700000\,{}^{\circ}\mathrm R$
$37.00000000\,{}^{\circ}\mathrm C$	$98.60000000\,{}^{\circ}\mathrm F$	$310.1500000\,\mathrm K$	$558.2700000\,{}^{\circ}\mathrm R$
$40.00000000\,{}^{\circ}\mathrm C$	$104.0000000\,{}^{\circ}\mathrm F$	$313.1500000\,\mathrm K$	$563.6700000\,{}^{\circ}\mathrm R$
$60.00000000\,{}^{\circ}\mathrm C$	$140.0000000\,{}^{\circ}\mathrm F$	$333.1500000\,\mathrm K$	$599.6700000\,{}^{\circ}\mathrm R$
$80.00000000\,{}^{\circ}\mathrm C$	$176.0000000\,{}^{\circ}\mathrm F$	$353.1500000\,\mathrm K$	$635.6700000\,{}^{\circ}\mathrm R$
$100.0000000\,{}^{\circ}\mathrm C$	$212.0000000\,{}^{\circ}\mathrm F$	$373.1500000\,\mathrm K$	$671.6700000\,{}^{\circ}\mathrm R$

Water phase-change reference values depend on pressure and conditions. This numerical reference does not measure a sample or calibrate a thermometer.

Step-by-step temperature chart calculation

1. Identify the chart quantity and source rows
Rows are conventional absolute readings. Each generated reading must be at or above absolute zero, even when the progression counts downward.
$T_s=-40.00000000\,{}^{\circ}\mathrm C$
2. Normalize the first reading to kelvin
Multiply the numerical source reading by its kelvin interval size, then include its kelvin zero-point offset. The factor and offset are exact.
$T_K=a_sT_s+b_s=233.1500000\,\mathrm K$
3. Convert the first comparison cell
The first row and the first column after the source scale are worked here. Every remaining cell uses the same quantity-specific rule, followed by one display rounding.
$T_t=\frac{T_K-b_t}{a_t}=-40.00000000\,{}^{\circ}\mathrm F$

What Can You Create?

Create a temperature lookup with the right interpretation

A familiar four-scale reference

Keep all twelve original Celsius inputs and compare Fahrenheit, Kelvin and Rankine on the same row. A separate anchor reference includes the exact absolute-zero boundary and useful scale checks.

A custom reading progression

Choose any of the four source scales, then state the start, increment and row count. Ascending and descending series are checked across their complete generated range before results are displayed.

A signed temperature-change chart

Compare increases or decreases without applying a reading offset. Explicit change headings keep negative intervals, zero changes and absolute scale readings from being mistaken for one another.

Temperature chart formulas and worked examples

Map readings through kelvin

For a source reading $T_s$ , let $a_s$ denote its kelvin interval size and $b_s$ its kelvin offset. Normalize the reading before applying the target scale's coefficients. All coefficients are defined exactly in this chart. Retaining the offset before the final division avoids treating temperature as a simple multiplicative unit conversion.

T_K=a_sT_s+b_s,\qquad T_t=\frac{T_K-b_t}{a_t}

Example: a Celsius reading

A reading of $20\,{}^{\circ}\mathrm C$ converts to the values below. The Fahrenheit offset belongs to the reading, while the kelvin relationship uses its own exact zero-point difference. This example appears among the original prepared reference rows, so it can be compared directly with the neighboring temperatures without re-entering a separate conversion.

T_F=\frac95(20)+32=68\,{}^{\circ}\mathrm F,\qquad T_K=20+273.15=293.15\,\mathrm K

Example: a cooling interval

For a decrease of $10\,{}^{\circ}\mathrm C$ , scale only the interval size. Adding a reading offset would turn a change into an unrelated scale location. Kelvin and Celsius intervals have the same size, while Fahrenheit and Rankine intervals use their own shared size. Negative signs consistently describe the direction of the change.

\Delta T_C=-10\,{}^{\circ}\mathrm C,\quad \Delta T_F=-18\,{}^{\circ}\mathrm F,\quad \Delta T_K=-10\,\mathrm K

Generate rows and check the coldest reading

A series begins at $a$ and advances by $h$ for each row. With $n$ rows, the final source quantity is $a+(n-1)h$ . Positive increments make the first row the coldest; negative increments make the last row the coldest. Reading mode converts that endpoint to kelvin and checks its exact lower boundary. Change mode retains signed intervals without applying a reading boundary.

x_i=a+ih,\quad i=0,\ldots,n-1,\qquad T_{K,\min}\ge0

Why Users Love This Tool

Keep offsets, intervals and rounding under control

One quantity interpretation throughout

The reading or change choice controls every table cell, heading, worked expression and saved record. Changing the interpretation triggers validation again.
All four scales appear once per row, with the source scale first. The chart does not silently replace a chosen scale or duplicate an output column.
Absolute-zero comparisons use the exact coldest generated value. Descending series are checked through their final row rather than validating only the start.

A reference you can reproduce

Ordinary fractions, proper mixed numbers and bounded scientific notation retain their exact entered numerical model before final display rounding.
Copy and CSV preserve every scale value and its exact certificate. A versioned share link carries active settings without leaking unused series buffers.
Initial reference rows render on the server with accessible mathematical markup. The scrollable table and result link support keyboard navigation on small screens.

Perfect For

Useful for scale comparisons and documented calculations

Classroom conversion exercises

Explain why a temperature reading needs an offset while a temperature interval does not. Compare a prepared reference with a custom progression, then follow the worked conversion for the first comparison cell.

Laboratory and technical notes

Create a numerical reference in a stated source scale and retain the quantity kind with the result. The table supports checking a mapping; actual measurement conditions and instrument calibration remain separate tasks.

Weather and oven-scale lookups

Generate regularly spaced Celsius or Fahrenheit rows instead of relying on an uneven static list. These are numerical scale equivalents, with exact certificates available when a rounded display is insufficient for a calculation record.

How It Works

How it works in three quick steps.

Choose readings or temperature changes

Select the quantity before building a chart. Absolute readings include scale offsets and must remain at or above absolute zero. Signed changes use interval sizes without reading offsets.

Choose reference rows or a custom progression

Keep the original twelve Celsius rows or choose reading anchors. For a series, select the source scale, signed start, nonzero increment and whole row count from one through forty. Inspect all four scale columns and optional exact fractions.

Save the quantity and scale context together

Copy all chart values or LaTeX working, download exact certificates as CSV, share validated active settings or print the selected visible report. Review page size and continued table headers before saving a PDF.

Download & Print

Download and print the temperature chart with its context

Copy every row or share settings

Copy the complete plain-text record or display-delimited LaTeX working. The share action creates a validated chart link containing the active quantity, reference or progression, precision and visibility preferences.

Download all four scales as CSV

The quoted UTF-8 file records the quantity kind, source scale, every generated cell and exact rational certificates. Scale slopes and reading offsets accompany the values, and hidden working remains available for later inspection.

Print a focused reference report

Save the visible chart and selected working through the browser’s PDF destination. Controls and supporting articles are removed from the report. Continued pages repeat scale headings; review paper size, orientation and scale before committing the print.

FAQ

Frequently Asked Questions

How do I read the Celsius, Fahrenheit, Kelvin and Rankine chart?

Each row describes one temperature quantity across all four scales. The first column is the selected source scale; the remaining columns give equivalent values. The prepared references use Celsius, while custom series can begin in any supported scale. Check whether the chart says readings or changes before using a row, because a numerical temperature change follows a different conversion rule from an absolute reading.

Why are temperature readings different from temperature changes?

Reading conversions account for both interval size and the scale's zero point. For example,

0\,{}^{\circ}\mathrm C

corresponds to

32\,{}^{\circ}\mathrm F

. A zero change stays zero in every scale, and a change of

10\,{}^{\circ}\mathrm C

corresponds to

18\,{}^{\circ}\mathrm F

. The chart quantity control chooses the appropriate rule for every row, heading, saved certificate and worked expression.

Will the chart allow a reading below absolute zero?

The conventional reading mode rejects any progression whose coldest generated row would fall below

0\,\mathrm K

. Boundaries are compared using exact rational arithmetic, including the last row of a descending series. An invalid range clears the old chart rather than truncating it or clamping a value to zero. This check concerns ordinary absolute-temperature readings; signed temperature changes have a different meaning and do not receive that lower limit.

Can I make a descending chart or use fractional increments?

Yes. Enter a negative nonzero increment for a descending series, or use a fraction or proper mixed number for the start and increment. Choose a whole row count from one through forty. The endpoint follows from that count and increment, so inspect the final row after editing either control. Exact arithmetic prevents a repeating decimal increment from accumulating display-rounding errors across the progression.

Why can a kelvin change be negative while a kelvin reading cannot?

A negative kelvin change represents a decrease in temperature. It is a signed difference, rather than a thermodynamic temperature below absolute zero. The change chart labels every column accordingly and never adds a reading offset. Switching that same series into conventional reading mode validates its physical lower boundary again; incompatible values produce an explicit error instead of being interpreted as valid negative absolute readings.

Are the displayed chart values exact or rounded?

The scale mappings and source-entry model are evaluated with exact rational arithmetic, then each visible quantity is rounded once to the selected significant figures. An approximation sign identifies a rounded decimal. Optional second lines show compact exact ratios, and copied text or CSV retain complete numerator and denominator certificates even when a ratio is too long for a readable table cell. Display precision does not establish thermometer accuracy.

What do the freezing, boiling and familiar reference rows mean?

The original twelve Celsius inputs remain available as numerical reference rows, alongside a separate set of scale anchors that includes absolute zero. Water phase-change examples depend on pressure, purity and experimental conditions; a conversion table does not infer those conditions. Familiar readings are useful for checking the scale mapping, but the chart does not measure a sample or supply an instrument calibration procedure.

What is saved in text, CSV, PDF and a shared chart link?

Text and CSV include all generated values in all four scales, the quantity kind, relevant scale definitions and complete exact numerical certificates. They retain calculation steps even when those steps are hidden in the visible report. PDF follows the selected visible chart and working. A shared link stores validated active chart settings, so another visit regenerates the chart with its reading or change interpretation preserved.

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About This Tool

About this Temperature Conversion Chart

The Toolarithm Temperature Conversion Chart is a configurable four-scale numerical reference. It preserves the twelve original Celsius inputs and their order while adding a separate anchor reference and custom progressions. Each row contains one value for Celsius, Fahrenheit, Kelvin and Rankine, with the selected source scale first. Explicit headings state whether the quantities are conventional absolute readings or signed temperature changes, so an exported or printed chart carries the interpretation required to read it correctly.

The two quantity types use different numerical rules. Readings account for scale offsets and interval sizes. Changes use interval sizes alone, allowing negative cooling intervals without interpreting them as negative absolute temperatures. Custom series accept signed starts and nonzero increments, including ordinary fractions and proper mixed numbers. A bounded whole row count determines the endpoint. For reading charts, the coldest generated endpoint is checked against absolute zero using exact rational arithmetic before any display rounding occurs.

Every source entry and scale mapping retains its exact numerical model. Display significant figures affect the visible representation of a quantity, with approximation marks where rounding is necessary. Optional compact fractions supplement the decimal cells, while complete text and CSV retain long exact ratios and numerical certificates. These records describe the arithmetic and defined scale relationships. They do not establish the accuracy of a thermometer or infer pressure and sample conditions from a familiar reference temperature.

Server-rendered default rows and accessible LaTeX with MathML remain available before interactive code loads. The reference illustration and established supporting material follow the tool, keeping the chart controls easy to reach. Copying and CSV preserve all generated cells and working, including steps hidden from the visible report. Sharing restores validated active settings, and print mode retains the selected chart context while removing controls and unrelated supporting content. The result is a reproducible numerical lookup for reading, explaining and checking temperature conversions.

Editorial Transparency

Who maintains this page

Ownership and review

Written and maintained by the Toolarithm editorial team. No review date is shown without a maintained editorial record. No independent professional review is claimed.

Methodology

The editorial team checks definitions, examples, linked tools, and cited references. Dates shown here come from the page's maintained publication record.

Read the editorial methodology

Dates and sources

Review dates change only after a substantive method or content check.

Temperature conversion formula diagram for Celsius, Fahrenheit, and Kelvin with the minus 40 check point. — Temperature scales require both interval scaling and zero-point offsets; Celsius and Fahrenheit meet at minus 40.

Offsets, intervals, and reference points

Temperature scales require both scaling and an origin

Celsius and Fahrenheit do not share a zero point or degree interval, so a correct conversion is an affine transformation rather than a single multiplier. Kelvin and Rankine begin at absolute zero but use different interval sizes.

Useful formula and scale checks

These values help catch a missing offset or a reversed fraction before a chart result is copied into another calculation.

-40: -40 degrees Celsius equals -40 degrees Fahrenheit.
0 C: 32 F and 273.15 K.
20 C: 68 F and 293.15 K.
100 C: 212 F and 373.15 K.
One Celsius interval: Equals one kelvin interval.
One Fahrenheit interval: Equals one Rankine interval.

Apply the offset in the right order

To convert Fahrenheit to Celsius, subtract 32 before multiplying by $\frac{5}{9}$ . Reversing that order changes the reference origin and gives the wrong answer even if the interval ratio is correct.

To move from Celsius to kelvin, add 273.15. The degree interval has the same size, so no additional scale multiplier is needed for that pair.

Distinguish definitions from physical observations

The mathematical relationships among the scales are defined. The chart's water freezing and boiling notes are practical reference points, not universal constants for every sample and environment.

Phase-change temperatures depend on pressure and material conditions. Use a calibrated method and the applicable scientific procedure when the value is evidence, rather than treating a general conversion chart as a measurement protocol.

Use absolute temperature where a formula requires it

Many thermodynamic relationships require kelvin because ratios and zero-temperature meaning rely on an absolute scale. Substituting a Celsius number into such a formula changes the physical interpretation.

A converted kelvin value cannot be below zero for a physical thermodynamic temperature. A negative result indicates an invalid input for that context or a formula/unit mistake that needs review.

Worked check: convert 68 F

1Subtract the Fahrenheit offset: $68-32=36$ .
2Scale the interval: $36\times\frac{5}{9}=20\,{}^\circ\mathrm{C}$ .
3Add the kelvin offset: $20+273.15=293.15\,\mathrm{K}$ . The chart displays reference values with fixed decimal formatting for consistent lookup.

Precision and chart-use limits

A conversion can preserve the numeric relationship between scales, but it cannot improve thermometer calibration, sensor accuracy, sample stability, or the number of meaningful digits in the source reading.
Rankine is included as an absolute scale using Fahrenheit-size intervals. Confirm the expected scale before copying a value into technical work because K and degrees R are not interchangeable numbers.
Use the live converter for an arbitrary value. Use this chart for common checkpoints, formula review, and a printable reference rather than interpolating between distant rows.

Sources and definitions

NIST: SI unit of thermodynamic temperature
Authoritative background for kelvin, Celsius intervals, and thermodynamic-temperature usage.

Continue the task

Related next steps

Live temperature converterConvert an arbitrary temperature with the same scale rules.Common unit conversionsCompare temperature conversion with ratio-only units.Science calculatorsContinue into formula-based scientific tools.

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