Place Value

Place Value Resources

Place value underpins every other area in mathematics. As such, it’s important to build a solid understanding of number and how our number system works. Partitioning numbers means breaking numbers into different parts. Flexibly partitioning numbers is a very important skill as it assists with addition, subtraction, multiplication and division. For example if we need to solve 3×46, we can partition 46 into 40+6 and then solve 3×40 (=120) and then 3×6 (=18). We can work out very easily that 3×46=138.

The following resources aim to develop students’ understanding of place value. The resources on this page are designed to allow students to apply their understanding of place value as they work through concepts/skills including:

  • Partitioning
  • Flexible Partitioning
  • Rounding Numbers

High quality printable resources to help improve student’s understanding and application of numeracy and place value skills.

Place Value Arrow Strips

place value arrow strips

Arrow Strips to thousands

place value arrow strips

Arrow Strips to ten thousands

 

Place Value Games

 

place value game 4 in a row  

 

place value game place 8

 

 

place value game place 8 ten thousands

4 In a Row

Move around the outer squares finding matching numbers in the centre. The first player to place 4 counters in a row wins!

Place 8! (4-digits)

Race to place down 8 counters to be the winner. Match the place value of the digits in your number to numbers in the centre squares.

Place 8 (5-digits)

Race to place down 8 counters to be the winner. Match the place value of the digits in your number to numbers in the centre squares.

 

place value game race  

 

 

 

Race to 8,000!

Use knowledge of place value to make a number closest to 8,000 without going over.

Penguin Race 3-digit

Players use their knowledge of place value to race to the end.

Penguin Race 4-digit

Players use their knowledge of place value to race to the end.

 

Partitioning 2-Digit Numbers

 

2 digit place value activity sheet standard partitioning worksheet representing numbers 2 digits
What’s the Digit’s Value 1

What’s the Digit’s Value 2

Write the value of each of the underlined digits.

Partition Numbers 1 (w/numbers)

Partition Numbers 1 (no numbers)

 

Partition Numbers 2 (w/numbers)

Partition Numbers 2 (no numbers)

Standard partitioning of 2-digit numbers using MAB blocks (with or without number hints).

Represent 2-Digit Sheet 1

Represent 2-Digit Sheet 2

Partition and represent 2-digit numbers by words, MAB models and number expanders.

 

 partitioning MAB blocks 2 digit  represent 2 digit numbers mabs draw  represent 2 digit numbers table
Write Numbers Shown as MABs

Read 2-digit numbers modelled by MAB blocks and write them in digits.

Draw Numbers as MABs

Read 2-digit numbers in digits and draw visually.

Complete the Table (Mix)

Read as Digits

Read as Words

Read as Visual Models

Represent 2-digit numbers in different ways.

 


Partitioning 3-Digit Numbers

 

place value 3 digit worksheet place value hundreds worksheet non standard partitioning 3 digits
What’s the Digit’s Value 1

What’s the Digit’s Value 2

What’s the Digit’s Value 3

Write the value of each of the underlined digits.

Partition Numbers 1 (no numbers)

Partition Numbers 1 (with numbers)

 

Partition Numbers 2 (no numbers)

Partition Numbers 2 (with numbers)

Standard partitioning of 3-digit numbers using MAB blocks (with or without number hints).

Partition a Number Sheet 1

Partition a Number Sheet 2

Partition a Number Sheet 3

Partition a Number Sheet 4

Non-standard partitioning of 3-digit numbers using number expanders.

 

non standard partitioning worksheet representing 3 digit numers partitioning numbers
Partitioning a Number: Blank

Choose your own 3-digit number for standard and non-standard partitioning using number expanders.

Represent diff. ways 1

Represent diff. ways 2

Represent diff. ways 3 (internal zeros)

Represent diff. ways 4 (internal zeros)

Partition and represent 3-digit numbers by words, MAB models and number expanders.

What’s the Number?

Read the partitioned 3-digit numbers by adding the parts back together.

 

 write numbers in digits mab blocks  draw mab model numbers  represent numbers different ways 3 digit
Write Numbers Shown as MABs

Read 3-digit numbers modelled by MAB blocks and write them in digits.

Draw Numbers as MABs

Read 3-digit numbers in digits and draw visually.

Complete the Table (Mix)

Read as Digits

Read as Words

Read as Visual Models

Represent 3-digit numbers in different ways.

 

Partitioning 4-Digit Numbers

 

standard partitioning sheet thousands partitioning sheet thousands non standard partitioning worksheet
What’s the Digit’s Value 1

What’s the Digit’s Value 2

Write the value of each of the underlined digits.

Partition Numbers 1 (no numbers)

Partition Numbers 1 (with numbers)

 

Partition Numbers 2 (no numbers)

Partition Numbers 2 (with numbers)

Standard partitioning of 4-digit numbers using MAB blocks (with or without number hints).

Partition Number Sheet 1 

Partition Number Sheet 2 

Partition Number Sheet 3 

Partition Number Sheet 4 

Partition Number Sheet 5 (internal zeros)

Partition Number Sheet 6 (internal zeros)

Non-standard partitioning of 4-digit numbers using number expanders.

 

non standard partitioning template representing numbers different ways abacus place value worksheet
Partition the Number: Blank

Choose your own 4-digit number for standard and non-standard partitioning using number expanders.

Represent diff. ways 1

Represent diff. ways 2

Represent diff. ways 3 (internal zeros)

Represent diff. ways 4 (internal zeros)

Partition and represent 4-digit numbers by words, MAB models and number expanders.

Abacus worksheet 1

Abacus worksheet 2

Abacus worksheet 3

Read a number on an abacus and write it in digits and words.

 

partitioning numbers place value game 4 in a row place value game race
What’s the Number?

Read the partitioned 4-digit numbers by adding the parts back together.

4 In a Row

Move around the outer squares finding matching numbers in the centre. The first player to place 4 counters in a row wins! (Game)

Race to 8,000!

Use knowledge of place value to make a number closest to 8,000 without going over. (Game)


Partitioning 5-Digit Numbers

 

non standard partitioning 5 digit non standard partitioning blank template representing 5 digit numbers
Partition the Number 1

Partition the Number 2

Partition the Number 3

Partition the Number 4 (internal zeros)

Partition the Number 5 (internal zeros)

Partition the Number 6 (internal zeros)

Non-standard partitioning of 5-digit numbers using number expanders.

Partition the Number: Blank

Choose your own 5-digit number for standard and non-standard partitioning using number expanders.

Represent diff. ways 1

Represent diff. ways 2

Represent diff. ways 3 (internal zeros)

Represent diff. ways 4 (internal zeros)

Partition and represent 5-digit numbers by words, MAB models and number expanders.

 

partitioning numbers  

 

place value game place 8 ten thousands

place value game race
What’s the Number?

Read the partitioned 5-digit numbers by adding the parts back together.

Place 8 (5-digits)

Race to place down 8 counters to be the winner. Match the place value of the digits in your number to numbers in the centre squares. (Game)

Race to 8,000!

Use knowledge of place value to make a number closest to 8,000 without going over. (Game)

 

 

Back to Number Resources

 

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