Grade 2Measuring Length2.MD.A.2

Bigger Units, Smaller Numbers

The same length takes fewer large units than small ones.

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You can measure the same thing with different units: inches or centimeters, feet or yards. The length doesn’t change, but the number does. You need Measuring with a Ruler for this.

The same straw is 4 inches long and about 10 centimeters long.

Why it works

A centimeter is shorter than an inch, so it takes more centimeters to cover the straw. A big unit covers more length each time, so you need fewer of them. Small unit, big number. Big unit, small number.
Units that fit together exactly.
Bigger unitis the same as
1 foot12 inches
1 yard3 feet
1 meter100 centimeters

Worked example: Feet to inches

A board is 2 feet long. How many inches is that?
  1. Each foot is 12 inches.
  2. $12 + 12 = 24$.
  3. 2 feet and 24 inches are the same length.

Answer: 24 inches

Worked example: Which is longer?

Which is longer: 30 inches or 2 feet?
  1. Change to the same unit: 2 feet is 24 inches.
  2. 30 inches is more than 24 inches.

Answer: 30 inches

Key idea

The bigger the unit, the fewer you need. To compare two lengths, change them to the same unit first.

Common mistake

Thinking 24 inches is longer than 2 feet because 24 is a bigger number. They are exactly the same length! Check by changing to the same unit: 2 feet = 24 inches.
Grown-up tip: Measure a table with a ruler in inches and again with a yardstick, and compare the two numbers.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

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Sources and further reading

  • Common Core State Standards for Mathematics, Grade 2, standard 2.MD.A.2 (measure an object twice with different units and describe how the measurements relate to the size of the unit)
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