Conversion of Temperature

Quick Celsius (°C) / Fahrenheit (°F) Conversion:

measure/images/thermometer.js?mode=boxes

Type a value in either box

Or use the slider

Or the Interactive Thermometer

Or this method:

°C to °F Divide by 5, then multiply past 9, then add 32
°F to °C Deduct 32, then multiply by 5, then divide by 9

(Explanation Beneath ...)

Typical Temperatures

(only bold are exactly the same)

°C °F Description
220 430 Hot Oven
180 360 Moderate Oven
100 212 Water boils
twoscore 104 Hot Bathroom
37 98.6 Body temperature
xxx 86 Embankment atmospheric condition
21 70 Room temperature
x l Cool Twenty-four hour period
0 32 Freezing point of water
−eighteen 0 Very Common cold Day
−xl −forty Extremely Cold Twenty-four hour period
(and the same number!)

pup thinks

Some Tricks:

Daily Temperatures: these three conversions "flip the digits" (accurate within 1°):

°C   °F
28 ⇄ 82
sixteen ⇄ 61
04 ⇄ forty

Oven Temperatures: in the range 150 to 200 °C nosotros can double °C to become °F (accurate within eight°F):

°C °F
Estimate		 °F
Actual
200 400 392
180 360 356
160 320 320
150 300 302

Going the other fashion: for the range 300 to 400 °F nosotros can halve °F to get °C (authentic inside iv°C).

Explanation

There are two primary temperature scales:

  • °C, the Celsius Calibration (part of the Metric Organisation, used in about countries)
  • °F, the Fahrenheit Scale (used in the US)

They both measure out the aforementioned thing (temperature!), but utilize unlike numbers:

  • Boiling water (at normal pressure) measures 100° in Celsius, but 212° in Fahrenheit
  • And as water freezes it measures 0° in Celsius, but 32° in Fahrenheit

Like this:

temperature freeze (0 vs 32) and boil (100 vs 212)

Looking at the diagram, notice:

  • The scales start at a unlike number (0 vs 32), so we will need to add or decrease 32
  • The scales ascent at a different rate (100 vs 180), and so we volition also need to multiply

And and so, to convert:

from Celsius to Fahrenheit: commencement multiply by 180 100 , then add 32

from Fahrenheit to Celsius: first subtract 32, so multiply past 100 180

180 100 can exist simplified to ix 5 , and 100 180 can be simplified to five 9 , then we get this:

°C to °F: Divide by 5, then multiply by 9, then add together 32

°F to °C: Subtract 32, and so multiply by 5, then divide by ix


Case: Convert 25° Celsius (a overnice warm solar day) to Fahrenheit

Outset: 25° / five = 5
Then: five × nine = 45
Then: 45 + 32 = 77° F

Instance: Convert 98.vi° Fahrenheit (normal body temperature) to Celsius

First: 98.six° − 32 = 66.six
Then: 66.6 × 5 = 333
Then: 333 / nine = 37° C

Nosotros can swap the order of divide and multiply if we want, simply don't change the add together or subtract. So this is also OK:

Example: Convert 98.6° Fahrenheit to Celsius (again)

First: 98.six° − 32 = 66.6
Then: 66.6 / 9 = 7.4
Then: 7.4 × v = 37° C

(Same answer as before, was it easier or harder this way?)

Nosotros can write them as formulas:

Celsius to Fahrenheit:   (°C × ix five ) + 32 = °F
Fahrenheit to Celsius:   (°F − 32) × 5 9 = °C

Other Methods That Piece of work

Use 1.8 instead of 9/5

9/5 is equal to one.8, so we can also use this method:

Celsius to Fahrenheit:   °C × 1.eight + 32 = °F
Fahrenheit to Celsius:   (°F − 32) / 1.8 = °C

To make "×1.8" easier nosotros can multiply past two and subtract 10%, merely it only works for °C to °F:

Celsius to Fahrenheit:   (°C × 2) less x% + 32 = °F

Case: Convert twenty° Celsius (A overnice 24-hour interval) to Fahrenheit

  • 20x2 = 40
  • less 10% is 40−4 = 36
  • 36+32 = 68° F

Add together 40, Multiply, Subtract 40

Since both scales cantankerous at −40° (−forty° C equals −40° F) we can:

  • add 40,
  • multiply by 5/9 (for °F to °C), or nine/5 (for °C to °F)
  • subtract 40

Like this:

Celsius to Fahrenheit:   Add forty, multiply past 9/5, then subtract 40
Fahrenheit to Celsius:   Add forty, multiply by 5/9, and so subtract 40

Example: Convert 10° Celsius (A cool day) to Fahrenheit

  • x+40 = l
  • fifty×ix/five = 90
  • ninety−forty = l° F

Quick, just Non Accurate

Celsius to Fahrenheit:   Double, then add 30
Fahrenheit to Celsius:   Subtract 30, then halve

Examples °C → °F:

  • 0° C → 0+30 → 30° F (low by 2°)
  • x° C → 20+30 → fifty° F (exact!)
  • 30° C → 60+30 → 90° F (loftier by 4°)
  • 180° C → 360+xxx → 390° F (high past 34°, not practiced)

Examples °F → °C:

  • 40° F → 10/ii → 5° C (about right)
  • 80° F → 50/2 → 25° C (depression by near two°)
  • 120° F → ninety/ii → 45° C (low by virtually 4°)
  • 450° F → 420/2 → 210° C (low by nigh 22°, not good)

temperature particles

Footnote: Temperature is a measure of how fast an object's particles are moving.

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