1. Number and place value

Lesson

Before we begin looking at ordering numbers, and working out which numbers are the largest or smallest we need to remember how to identify the value of the digits in our number.

State the value for the underlined digit.

Worked Solution

Idea summary

We can use a place value table to find the value of each digit in a number.

Let's look at how to use a number line to order numbers from smallest to largest, and largest to smallest.

We want to work out which of 3 numbers is the biggest.

a

Which of the number lines has 730,830, and 930 plotted correctly?

A

B

Worked Solution

b

Write the three numbers from smallest to largest on one line.

Worked Solution

Idea summary

The smaller a number is, the further to the left on the number line it is.

We can also use place value to order numbers, and this video includes an example of how we do that.

Order these numbers from largest to smallest.

a

73,\, 33, \, 37

Worked Solution

b

671,\, 167, \, 617

Worked Solution

Idea summary

When we use place value to order numbers, always start with the far left digit and think about the digit's place value.

Compare the hundreds, then the tens, and then the units (ones).