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India
Class VII

Partition numbers (billions)

Lesson

 

To work with really big numbers, such as hundreds of millions, we can use the same approach as smaller numbers.  We do have to take more steps, but we can use the same tips we have already learnt.  You may wish to look at the topic on constructing numbers up to 1 billion, to help with some of the terms we use, and check your understanding of place value.

In this video, you can see the value of each digit is important and helps us when solving number problems involving numbers up to 1 billion.

In the second video, we tackle numbers in the billions!  You can see the process is the same, it's just that you are working with more digits.  We can also use a nifty strategy to help figure out what our number is, so have a look at working with $71328428532$71328428532!

Remember!

Using a place value table or chart can help to identify the value of each digit in a large number.

When partitioning numbers, 0 is an important place holder in some numbers. Leaving it out can change the overall value of a number.

 

Worked Examples

Question 1

Fill in the box with the missing number.

  1. $6740000000=6000000000+700000000+\editable{}$6740000000=6000000000+700000000+

Question 2

Express $8586314792$8586314792 in expanded form. For example, $2045$2045 in expanded form is $2000+40+5$2000+40+5.

Question 3

Write the number described as having only:

$4$4 billions, $528$528 millions and $6$6 hundred thousands.

Outcomes

7.NS.KN.2

Properties of integers (including identities for addition & multiplication, commutative, associative, distributive) (through patterns). These would include examples from whole numbers as well. Involve expressing commutative and associative properties in a general form.

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