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Example 2. Find the place value of each digit in 9459.
Solution. Th H T O
9 4 5 9
Ones place
Place value = 9 ones = 9 × 1 = 9
Tens place
Place value = 5 tens = 5 × 10 = 50
Hundreds place
Place value = 4 hundreds = 4 × 100 = 400
Thousands place
Place value = 9 thousands = 9 × 1000 = 9000
Example 3. Find the place value of the coloured digits.
a. 4627 b. 9702
Solution. a. Th H T O b. Th H T O
4 6 2 7 9 7 0 2
Place Value Place Value
6 hundreds = 600 9 thousands = 9000
Expanded Form
Tips
When we write a number as the sum of the
place values of its digits, the number is said
to be in expanded form. As we move to the left, the digit’s place
value increases 10 times.
Example 4. Write the expanded form of 5736.
Th H T O Place Value of 6
Solution. Th H T O 6 6
5 7 3 6 Place Value 6 5 60
6 ones or 6 6 5 3 600
3 tens or 30 6 5 3 2 6000
7 hundreds or 700
5 thousands or 5000 5736 is the
short form.
Expanded form = 5 thousands + 7 hundreds + 3 tens + 6 ones
= 5000 + 700 + 30 + 6
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