# Connexions

You are here: Home » Content » Mathematics Grade 5 » To recognise numbers and represent them correctly

### Lenses

What is a lens?

#### Definition of a lens

##### Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

##### What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

##### Who can create a lens?

Any individual member, a community, or a respected organization.

##### What are tags?

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

#### In these lenses

• GETIntPhaseMaths

This module and collection are included inLens: Siyavula: Mathematics (Gr. 4-6)
By: Siyavula

Module Review Status: In Review
Collection Review Status: In Review

Click the "GETIntPhaseMaths" link to see all content selected in this lens.

Click the tag icon to display tags associated with this content.

### Recently Viewed

This feature requires Javascript to be enabled.

### Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.

Inside Collection (Course):

Course by: Siyavula Uploaders. E-mail the author

# To recognise numbers and represent them correctly

Module by: Siyavula Uploaders. E-mail the author

## Memorandum

1.

1.1 A: 2 613

B: 4 871

1.2 A: 2 613 = 2 000 + 600 + 10 + 3

= (2 × 1 000) + (6 × 100) + (1 × 10) + (3 × 1)

B: 4 871 = 4 000 + 800 + 70 + 1

= (4 × 1 000) + (8 × 100) + (7 × 10) + (1 × 1)

3.

3.1 800; 6

(8 × 100); (6 × 1)

3.2 4 000; 90

(4 × 1 000); (9 × 10); (8 × 1)

4.

4.1 20

4.2 8

4.3 5 000

4.4 600

BRAIN TEASERS!

a) 7 846

b) 7 740

c) 3 251

d) 8 292

e) 10

f) 100

## Content

### To recognise the place value of digits [LO 1.4]

1. Every digit in every number has a certain value and meaning. Have you ever considered what the 3 in 435 819 means? Let us see.

1.1 Which number is represented in:

A: __________________________________________________________________

B: __________________________________________________________________

1.2 Write the number in expanded notation:

A: __________________________________________________________________

_____________________________________________________________________

B: __________________________________________________________________

_____________________________________________________________________

2. For the next exercise you must know the place value of every digit. If you can determine this, represent the numbers 6 038 and 4 792 on the diagrams below.

3. It is easier to recognise and represent numbers if we write them in expanded notation. By doing this we know the value of every digit. Fill in the missing numbers.

3.1 9 826 = 9 000 + ....................... + 20 + .......................

= (9 × 1 000) + (......... × .........) + (2 × 10) + (......... × .........)

3.2 4 198 = ................... + 100 + ................... + 8

= (......... × .........) + (1 × 100) + (......... × .........) + (......... × .........)

DO YOU UNDERSTAND?

The VALUE of the 7 in 8 427 is 7.

The VALUE of the 7 in 8 724 = 700.

4. Let us review the difference between value and place value. Can you tell a friend the place value of every digit below? Then write down the value of every digit in bold print.

4.1 8 329 _________________________________________________________

4.2 4 238 _________________________________________________________

4.3 25 098 _________________________________________________________

4.4 89 641 _________________________________________________________

BRAIN TEASERS!

• See if you are able to answer the following questions correctly:

a) 7 856 is 10 more than ____________________________________________

b) 7 640 is 100 less than ____________________________________________

c) ______________________________________ is the first odd number after 3 249

d) ____________________________________ is the even number just before 8 294

e) 8 000 is ______________________________________ times bigger than 800

f) 6 000 is ______________________________________ times bigger than 60

TIME FOR SELF-ASSESSMENT

 Complete the following by placing a tick in the appropriate block: Uncertain Fairly certain Altogether certain Excellent I can count in hundreds, both forwards and backwards (LO 1.1). I can count forwards and backwards in thousands (LO 1.1). I know the difference between odd and even numbers (LO 1.3). I can write numbers in expanded notation (LO 1.3). I can determine the value of digits in numbers (LO 1.3).

## Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.3: We know this when the learner recognises and represents numbers in order to describe and compare them:

Assessment Standard 1.4: We know this when the learner recognises the place value of digits in whole numbers to at least 6-digit numbers.

## Content actions

PDF | EPUB (?)

### What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

PDF | EPUB (?)

### What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

#### Collection to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

#### Definition of a lens

##### Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

##### What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

##### Who can create a lens?

Any individual member, a community, or a respected organization.

##### What are tags?

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks

#### Module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

#### Definition of a lens

##### Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

##### What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

##### Who can create a lens?

Any individual member, a community, or a respected organization.

##### What are tags?

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks