Conversion of Temperature

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

bill/images/thermometer.js?musical mode=boxes

A value in either boxful

Or use the slider

Or the Interactive Thermometer

Or this method:

°C to °F Fraction by 5, then multiply by 9, then add 32
°F to °C Deduct 32, then procreate aside 5, then divide by 9

(Explanation Below ...)

Typical Temperatures

(sole bold are incisively the same)

°C °F Description
220 430 Hot Oven
180 360 Check Oven
100 212 Water boils
40 104 Hot Bath
37 98.6 Blood heat
30 86 Beach weather
21 70 Room temperature
10 50 Cool Day
0 32 Freezing point of water
−18 0 Very Cold Day
−40 −40 Extremely Cold Day
(and the identical number!)

16 is about 61
28 is active 82

Explanation

There are two main temperature scales:

  • °C, the Celsius Scale (part of the Metric System, used in most countries)
  • °F, the Fahrenheit scale (utilised in the US)

They both measure the same thing (temperature!), simply utilization different numbers:

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

Comparable this:

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

Looking at the diagram, notice:

  • The scales startle at a different enumerate (0 vs 32), so we will need to add together OR subtract 32
  • The scales rise at a different rate (100 vs 180), so we will also pauperization to multiply

And so, to convert:

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

from Fahrenheit to Celsius: first subtract 32, then manifold away 100 180

180 100 can represent easy to 9 5 ,
and 100 180 can follow simplified to 5 9 , so we dumbfound this:

°C to °F: Divide by 5, then multiply away 9, and so tot up 32

°F to °C: Subtract 32, then multiply by 5, then carve up by 9


Example: Convert 25° Celsius (a nice warm solar day) to Fahrenheit

First: 25° / 5 = 5
Then: 5 × 9 = 45
Then: 45 + 32 = 77° F

Illustration: Convert 98.6° Fahrenheit (normal body temperature) to Celsius

First: 98.6° − 32 = 66.6
Then: 66.6 × 5 = 333
Then: 333 / 9 = 37° C

We can swap the order of divide and multiply if we want, but don't change the total or subtract. So this is also OK:

Example: Convert 98.6° Fahrenheit to Anders Celsius (again)

First: 98.6° − 32 = 66.6
Then: 66.6 / 9 = 7.4
Then: 7.4 × 5 = 37° C

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

We pot write them as formulas:

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

Other Methods That Piece of work

Purpose 1.8 alternatively of 9/5

9/5 is up to 1.8, so we can also use this method:

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

To make "×1.8" easier we can multiply by 2 and subtract 10%, simply it solitary industrial plant for °C to °F:

Anders Celsius to Fahrenheit:   (°C × 2) less 10% + 32 = °F

Example: Change 20° Celsius (A nice day) to Fahrenheit

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

Add 40, Multiply, Take off 40

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

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

Care this:

Celsius to Gabriel Daniel Fahrenheit:   Add 40, multiply by 9/5, then subtract 40
Fahrenheit to Celsius:   Add 40, multiply by 5/9, then subtract 40

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

  • 10+40 = 50
  • 50×9/5 = 90
  • 90−40 = 50° F

To retrieve 9/5 for °C to °F think "F is greater than C, so there are more °F than °C"

Quick, but Non Accurate

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

Examples °C → °F:

  • 0° C → 0+30 → 30° F (low by 2°)
  • 10° C → 20+30 → 50° F (exact!)
  • 30° C → 60+30 → 90° F (high by 4°)
  • 180° C → 360+30 → 390° F (high-top aside 34°, not good)

Examples °F → °C:

  • 40° F → 10/2 → 5° C (almost right)
  • 80° F → 50/2 → 25° C (low by about 2°)
  • 120° F → 90/2 → 45° C (low past about 4°)
  • 450° F → 420/2 → 210° C (low by nearly 22°, not good)

temperature particles

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

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