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Understand How To Work with Large Numbers Including Millions

In this worksheet, students will be asked to solve a variety of calculations using place value knowledge including numbers in the millions.

'Understand How To Work with Large Numbers Including Millions ' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Number and Place Value

Curriculum subtopic:   Solve Number/Place Value Problems up to 10 000 000

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this activity, you need to use your place value knowledge to solve a variety of calculations.

 

Let's recap the place value of numbers, including those in the millions, using a place value chart.

 

By looking at this chart, you need to able to recognise the value of each column and understand why it is written like that.

 

Remember, it can be helpful to read larger numbers in groups of 3:

19 thousand then 14

7 million then 43 thousand then 167

9 million then 2 thousand then 879

 

Expanded notation:

 

During this activity, you will be asked to convert numbers into expanded notation.

Remember, when using expanded notation to break apart each digit and always work from left to right. 

 

Example:

 

4 246 936 = 4 000 000 + 200 000 + 40 000 + 6000 + 900 + 30 + 6

 

Over to you now to use your place value skills to tackle a range of questions.

 

Complete the number sentence to represent

2 462 810

Complete the number sentence to represent 

42 776 001

Write the largest number in the box below,

 

8 519 476          8 591 476          8 591 466

Write the largest number in the box below?

 

18 622 198          18 621 198          18 622 196

Can you match the numbers with the correct form of expanded notation?

Column A

Column B

714 533
700 000 + 10 000 + 4000 + 300 + 50 + 3
1 789 563
1 000 000 + 700 000+ 80 000 + 9000 + 500 + 30 + 6
1 789 536
700 000 + 10 000 + 4000 + 500 + 30 + 3
714 353
1 000 000 + 700 000 + 80 000 + 9000 + 500 + 60 + 3

Can you convert the number into expanded notation?

 

3 456 342

Write the number from the expanded notation.

Remember to group the digits in 3s.

 

500 000 + 20 000 + 3000 + 700 + 40 + 1

Some numerals have been matched with their expanded notation form. However, only one pair is correct, can you choose the correct one?

20 000 + 2000 + 700 + 10 + 1

4 000 000 + 500 000 + 9000 + 90 + 4

25 000 000 + 400 000 + 20 000 + 6000+ 90

100 000 + 50 000 + 6000 + 600 + 70 + 9

Put the following numbers in ascending order (smallest to largest).

Column A

Column B

995 841
1st
16 789 234
2nd
16 789 243
4th
995 814
3rd

A sequence starts with 708 518 and 1000 is subtracted each time.

Can you write the next 3 numbers in the sequence?

 

Column A

Column B

995 841
1st
16 789 234
2nd
16 789 243
4th
995 814
3rd
  • Question 1

Complete the number sentence to represent

2 462 810

CORRECT ANSWER
EDDIE SAYS
To answer this question, we have to look carefully at each part of the number to understand its place value. The correct answer is 2 million, 462 thousand, 800 and 10.
  • Question 2

Complete the number sentence to represent 

42 776 001

CORRECT ANSWER
EDDIE SAYS
Again, we needed to look carefully at each part of the number to understand its place value. The correct answer is, 42 million, 776 thousand and 1.
  • Question 3

Write the largest number in the box below,

 

8 519 476          8 591 476          8 591 466

CORRECT ANSWER
8 591 476
8591476
EDDIE SAYS
How did you get on? The best way to compare numbers and spot the largest one is to look at each digit in turn, start with the digit in the millions column and then work along.
  • Question 4

Write the largest number in the box below?

 

18 622 198          18 621 198          18 622 196

CORRECT ANSWER
18 622 198
18622198
EDDIE SAYS
As before, the best way to compare numbers and spot the largest one is to look at each digit in turn, starting with the digit in the millions column and working along.
  • Question 5

Can you match the numbers with the correct form of expanded notation?

CORRECT ANSWER

Column A

Column B

714 533
700 000 + 10 000 + 4000 + 500 + 3...
1 789 563
1 000 000 + 700 000 + 80 000 + 90...
1 789 536
1 000 000 + 700 000+ 80 000 + 900...
714 353
700 000 + 10 000 + 4000 + 300 + 5...
EDDIE SAYS
There were a lot of digits to carefully compare with this one! Take your time and look at each number in sections to help you. Remember, always work from left to right! It's that simple, just take your time.
  • Question 6

Can you convert the number into expanded notation?

 

3 456 342

CORRECT ANSWER
3 000 000 + 400 000 + 50 000 + 6000 + 300 + 40 + 2
EDDIE SAYS
Remember, when using expanded notation to break apart each digit always work from left to right.
  • Question 7

Write the number from the expanded notation.

Remember to group the digits in 3s.

 

500 000 + 20 000 + 3000 + 700 + 40 + 1

CORRECT ANSWER
523 741
523741
EDDIE SAYS
When a number is written in expanded notation, we can clearly see its place value and join each part together to make the number.
  • Question 8

Some numerals have been matched with their expanded notation form. However, only one pair is correct, can you choose the correct one?

CORRECT ANSWER
4 000 000 + 500 000 + 9000 + 90 + 4
EDDIE SAYS
You had to look carefully at each section of the expanded notation to spot that the correct pair is 4 509 094 = 4 000 000 + 500 000 + 9000 + 90 + 4 Don't worry if you found that tricky.
  • Question 9

Put the following numbers in ascending order (smallest to largest).

CORRECT ANSWER

Column A

Column B

995 841
2nd
16 789 234
3rd
16 789 243
4th
995 814
1st
EDDIE SAYS
This one certainly tested your place value skills. The correct order from smallest to largest is: 1st = 995 814 2nd = 995 841 3rd = 16 789 234 4th = 16 789 243
  • Question 10

A sequence starts with 708 518 and 1000 is subtracted each time.

Can you write the next 3 numbers in the sequence?

 

CORRECT ANSWER
EDDIE SAYS
Did you spot the pattern? It was only the Thousands (Th) digit changing each time. The next 3 numbers in the sequence would therefore be, 707 518, 706 518, 705 518 Practise makes perfect! That’s another activity ticked off!
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