Expanded Form of Numbers
The way of writing a number as the sum of the place values of its digits is called the expanded form of numbers.
Consider the numeral 478:
We know that: 478
= 4 hundreds + 7 tens + 8 ones
= 400 + 70 + 8
= 478.
400 + 70 + 8 is the expanded form of 478.
478 is the short form of 400 + 70 + 8.
1. Write each of the following in expanded form:
One has been done for you.
|
(i) |
815 |
= |
800 |
+ |
10 |
+ |
5 |
|
(ii) |
313 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(iii) |
907 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(iv) |
749 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(v) |
639 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(vi) |
880 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(vii) |
768 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(viii) |
435 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(ix) |
691 |
= |
_____ |
+ |
_____ |
+ |
_____ |
|
(x) |
986 |
= |
_____ |
+ |
_____ |
+ |
_____ |
Answer:
1. (ii) 300 + 10 + 3
(iii) 900 + 00 + 7
(iv) 700 + 40 + 9
(v) 600 + 30 + 9
(vi) 800 + 80 + 0
(vii) 700 + 60 + 8
(viii) 400 + 30 + 5
(ix) 600 + 90 + 1
(x) 900 + 80 + 6
2. Write each of the following in short form:
One has been done for you.
(i) 700 + 80 + 1 = 781
(ii) 900 + 70 + 9 = _____
(iii) 500 + 10 + 9 = _____
(iv) 600 + 90 + 0 = _____
(v) 500 + 70 + 2 = _____
(vi) 500 + 50 + 5 = _____
Answer:
2. (ii) 979
(iii) 519
(iv) 690
(v) 572
(vi) 555
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