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2.03 Count by 100's, 1000's

Lesson

Are you ready?

Do you remember how to  count by 10's and 100's  ?

Examples

Example 1

Find the value of:

a

10 more than 69

Worked Solution
Create a strategy

Count up by 10\,on the number line or use the place value table.

Apply the idea

Start at 69 and count up by 10. We landed on number 79.

68697071727374757677787980

So, the value of 10 more than 69\,is 79.

Reflect and check

We could also write the numbers in a place value table and add the values in each column to get the same answer.

TensOnes
69
+10
Result79
b

100 more than 69

Worked Solution
Create a strategy

Write the numbers in a place value table and add the values in each column.

Apply the idea
HundredsTensOnes
069
+100
Result169

So, the value of 100 more than 69\,is 169.

Count by 100's and 1000's

Let's see how we can count by 100's and 1000's.

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Examples

Example 2

Complete the pattern by adding 1000 each time.

3615,\,⬚,\,⬚,\,6615,\, ⬚

Worked Solution
Create a strategy

Use the place value table to add 1000.

Apply the idea

Use a place value table to add 1000 to 3615:

ThousandsHundredsTensOnes
3615
+1000
Result4615

The amount in the thousands place goes up by one and we get a result of\,4615. The ones and tens value does not change.

We can add 1000 again to complete the pattern by increasing the thousands value by one.

The complete pattern is 3615,\,4615, \,5615,\,6615,\,7615.

Idea summary
Patterns of numbers counting by tens and hundreds. Ask your teacher for more information.

Outcomes

VCMNA130

Recognise, model, represent and order numbers to at least 10 000

VCMNA131

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems

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