Convert with anchors

Keep two known pairs for each set of units, and use them to check every answer.

Keep one anchor for each direction

× 9/5, then + 320 °C32 °F
The freezing point of water is the first temperature anchor.

An anchor is a conversion you already know by heart. One anchor for each direction of a pair tells you roughly where an answer should land, so a slip in the arithmetic shows up.

More

Every line below is an anchor the practice checks answers against.

0 °C is 32 °F

37 °C is 98.6 °F

30 cm is about 11.8 in

12 in is about 30.5 cm

1 m is about 3.28 ft

10 ft is about 3.05 m

10 km is about 6.2 mi

10 mi is about 16.1 km

1 kg is about 2.2 lb

10 lb is about 4.54 kg

1 US gal is about 3.79 L

10 L is about 2.64 US gal

100 km/h is about 62 mph

60 mph is about 96.6 km/h

Anchors also settle the direction. Above −40 °C the Fahrenheit number is larger; at −40 both scales agree; below −40 °C the Fahrenheit number is smaller. Going from km to miles the number gets smaller. If your answer moved the wrong way, you ran the conversion backwards.

Lesson help

Do the arithmetic. Then check the answer against an anchor you trust.

About this lesson

Try the method in a practice when you are ready.

Report

Keep one anchor for each direction

An anchor is a conversion you already know by heart. One anchor for each direction of a pair tells you roughly where an answer should land, so a slip in the arithmetic shows up.

Every line below is an anchor the practice checks answers against.

0 °C is 32 °F

37 °C is 98.6 °F

30 cm is about 11.8 in

12 in is about 30.5 cm

1 m is about 3.28 ft

10 ft is about 3.05 m

10 km is about 6.2 mi

10 mi is about 16.1 km

1 kg is about 2.2 lb

10 lb is about 4.54 kg

1 US gal is about 3.79 L

10 L is about 2.64 US gal

100 km/h is about 62 mph

60 mph is about 96.6 km/h

Anchors also settle the direction. Above −40 °C the Fahrenheit number is larger; at −40 both scales agree; below −40 °C the Fahrenheit number is smaller. Going from km to miles the number gets smaller. If your answer moved the wrong way, you ran the conversion backwards.

× 9/5, then + 320 °C32 °F
The freezing point of water is the first temperature anchor.

Convert 25 °C, then check it

Fahrenheit = Celsius × 9/5 + 32. Multiply first, then add the 32.

25 × 9/5 = 45

45 + 32 = 77

So 25 °C is 77 °F.

Now the anchor check. Body temperature is 37 °C, which is 98.6 °F. A room at 25 °C is cooler than a body. So the answer has to be below 98.6 °F.

A backwards conversion here would give (25 − 32) × 5/9, which is about −3.9. The anchor check catches that at once, because a warm room is not below freezing.

× 9/5, then + 3225 °C77 °F
Body temperature is the anchor above this answer.

Try an oven temperature

A recipe says 180 °C. Work it out with the same formula. Then check the answer against an anchor before you choose.

Boiling water is 100 °C, which is 212 °F. An oven at 180 °C is far hotter than boiling water.

180 °C?
The oven setting.

Try it

A recipe says 180 °C. What is that in °F?

  1. 356 °F
  2. 212 °F
Show the answer

356 °F

180 × 9/5 = 324, and 324 + 32 = 356 °F. The anchor agrees. 180 °C is above the boiling point of 100 °C. So the answer has to be above 212 °F.

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