Math Core

Lesson 5.3 · Measurement

Estimating and comparing lengths

Sometimes you don't have a ruler. You can still make a smart guess, called an estimate. And when you do measure two things, you can find how much longer one is.

Making an estimate

To estimate, compare the object to something you already know.

BenchmarkAbout how long
width of your fingertip1 centimeter
a paper clip1 inch
a school ruler1 foot
a big step1 yard
a meter stick1 meter

Definition

Estimate

An estimate is a careful guess about a measurement. It does not have to be exact, but it should be close.

Worked example: Estimate a book

A book is about as long as 10 paper clips. About how long is the book?

Each paper clip is about 1 inch. So the book is about 10 inches long.

Comparing lengths

To find how much longer one thing is, subtract the shorter length from the longer length. Both lengths must use the same unit.

The top ribbon is 8 inches. The bottom ribbon is 5 inches.

How much longer?

Longer length − shorter length = how much longer

Worked example: Two ribbons

A red ribbon is 8 inches long. A blue ribbon is 5 inches long. How much longer is the red ribbon?

8−5=38 - 5 = 3. The red ribbon is 3 inches longer.

Worked example: Check an estimate

Kim guessed her shoe was 20 cm long. She measured it. It was 23 cm. How far off was her guess?

23−20=323 - 20 = 3. Her estimate was off by 3 cm. That is a close guess!

Common mistake

Don't compare numbers with different units. A 3-foot desk is longer than a 20-inch box, even though 3 is less than 20. A foot is 12 inches, so 3 feet is 36 inches.

Practice

Practice 1

About how long is a paper clip?

Practice 2

What is the best estimate for how tall a door is?

Practice 3

A green crayon is 9 cm long. A yellow crayon is 5 cm long. How many centimeters longer is the green crayon?

Type a number.

Practice 4

A pencil is about as long as 6 paper clips. About how many inches long is the pencil?

Type a number.

Practice 5

A fence board is 40 inches long. A stick is 25 inches long. How many inches longer is the board?

Type a number.

Practice 6

Omar guessed a table was 60 inches long. It really was 55 inches. How many inches off was his guess?

Type a number.

Practice 7

A rope is 2 yards long. A string is 5 feet long. Which is longer?