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Numbers to 10,000,000

Numbers to 10,000,000

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Tutor: Toby

Summary

Numbers to 10,000,000

​​In a nutshell

Place value can be extended up to 10 000 00010 \ 000 \ 000 (and beyond).  To the left of the thousands column, the place value columns are ten thousands, hundred thousands, millions and ten millions. Reading, writing and comparing numbers up to 10 000 00010 \ 000 \ 000. follows a very similar process to smaller numbers.



Reading and writing numbers to 10 000 000

When a number is written in digits, the position of the digit tells you its value. You can use place value tables to help you manage larger numbers.  Place value tables allow you to separate large numbers into their respective place value columns or rows, as seen below.​​


Number
12 345 67812 \ 345 \ 678​​
76 482 91576 \ 482 \ 915​​
Ten millions
11​​
77​​
Millions
22​​
66​​
Hundred thousands
33​​
44​​
Ten thousands
44​​
88​​
Thousands
55​​
22​​
Hundreds
66​​
99​​
Tens
77​​
11​​
Ones
88​​
55​​


Example 1

Write the number 12 345 67812\ 345\ 678 in words.


Fill in the digits in a place value table, as has been written above. 


Combine the millions together to get

twelve million


Then, combine the thousands together to get

three hundred and forty five thousand


Finally, combine the hundreds, tens and ones together to get

six hundred and seventy-eight


Altogether, this can be written as

Twelve hundred, three hundred and forty five thousand, six hundred and seventy-eight.



Comparing and ordering numbers up to 10 000 000

To compare two numbers, write them both in a place value chart and compare the largest digit to see which number is bigger. If the digits in the same place value row are the same, move to the next place value row. Continue this process until you reach your answer.


Example 2

Order the numbers 63 961 75363\ 961\ 75352 852 86252\ 852\ 862 and 41 743 94141\ 743\ 941 from the largest to smallest.


Place these numbers into a place value table:

Number
63 961 75363 \ 961 \ 753​​
52 852 86252 \ 852 \ 862​​
41 743 94141 \ 743 \ 941​​
Ten millions
66​​
55​​
44​​
Millions
33​​
22​​
11​​
Hundred thousands
99​​
88​​
77​​
Ten thousands
66​​
55​​
44​​
Thousands
11​​
22​​
33​​
Hundreds
77​​
88​​
99​​
Tens
55​​
66​​
44​​
Ones
33​​
22​​
11​​


Compare the digit in the ten millions row to order the numbers.  In this example, the digits in the ten millions row are all different, which makes it simple for you to order the numbers.


The number 63 961 753\underline{63 \ 961 \ 753} is the largest, followed by 52 852 862\underline{52 \ 852 \ 862} then 41 743 941\underline{41 \ 743 \ 941}.



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Exercises

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FAQs - Frequently Asked Questions

How can you compare large numbers?

How can you read and write numbers up to 10 000 000?

How can you compare numbers greater than one million?

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