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8.11 Order and compare capacity

Lesson

Are you ready?

Remembering how to  order numbers  an help us in this lesson. Let's try this problem to practice.

Examples

Example 1

Order these numbers from smallest to largest.

92, \, 22, \, 29

Worked Solution
Create a strategy

We should order the tens first, then the ones.

Apply the idea

The numbers in the place value table are shown:

TensOnes
92
22
29

22 and 29 have the same smallest tens digit, so they are smaller than 92.

But 22 has the smaller ones digit, so 22 is smaller than 29.

The numbers from smallest to largest are: 22,\,29,\, 92

Idea summary

We can put numbers in order using a place value table and comparing the digits from the highest place value.

Order objects by capacity

This video looks at how to order objects using capacity.

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Examples

Example 2

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

This image shows 3 cups with capacities of 337, 630, and 136 millilitres. Ask your teacher for more information.
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.

The correct answer is B.

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 into order you must compare them first.

Outcomes

MA2-11MG

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

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