# 10.09 Order and compare volumes

Lesson

## Ideas

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

### Examples

#### Example 1

Order these numbers from smallest to largest.

a

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:

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

b

516, \, 156, \, 561

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:

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

516 and 561 have equal hundreds digits, but 516 has the smaller tens digit.

The numbers from smallest to largest are: 156,\,516,\, 561

Idea summary

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

## Compare volume

This video looks at being able to compare the volume (space inside something).

### Examples

#### Example 2

Order these containers from smallest to largest in volume.

Worked Solution
Create a strategy

Compare the number of marbles each container holds.

Apply the idea

The place value table shows the number of marbles in each container:

We can see that 44 is the smallest volume since it has the smallest Tens value. 55 is the second smallest, and the largest volume is 71.

The containers from smallest to largest are: Container C, Container A, Container B.

Idea summary

The volume of an object is a measure of how much space is inside it.