 # 10.11 Order and compare capacity

Lesson

## Ideas

Remembering how to  order numbers  can help us in this lesson.

### Examples

#### Example 1

Order these numbers from largest to smallest.

671, \, 167, \, 617

Worked Solution
Create a strategy

We should order the hundreds first, then the tens, then the ones.

Apply the idea

The numbers in the place value table are shown:

167 has the smallest hundreds digit so it is the smallest number.

671 and 617 have equal hundreds digits, but 617 has the smaller tens digit.

The numbers from largest to smallest are: 671,\,617,\, 167

Idea summary

When we use place value to order numbers, always start with the far left digit which has the highest place value.

## Order capacity

This video looks at how to order objects using capacity.

### Examples

#### Example 2

We want to order these three cups from largest capacity to smallest capacity.

a

Which of these cups has the largest capacity?

A
Cup 1
B
Cup 2
C
Cup 3
Worked Solution
Create a strategy

Look at the capacity of each cup, written underneath the pictures.

Apply the idea

630 is larger than 337 and 136 because it has the largest hundreds value.

So Cup 2 has the largest capacity. The correct answer is B.

b

Which of these cups has the second largest capacity?

A
Cup 3
B
Cup 1
C
Cup 2
Worked Solution
Create a strategy

Look at the capacity of each cup, written underneath the pictures.

Apply the idea

337 is larger than 136 because it has the largest hundreds value. So Cup 1 has a larger capacity than Cup 3.

c

Which of these cups has the smallest capacity?

A
Cup 3
B
Cup 1
C
Cup 2
Worked Solution
Create a strategy

Look at the capacity of each cup, written underneath the pictures.

Apply the idea

Only Cup 3 is remaining. So the correct answer is A.

Idea summary

The capacity of an object is how much it can hold.

To put objects in order, we must compare them first. When comparing capacity, they should have the same units.

### Outcomes

#### MA2-11MG

measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres