Page 8 - Maths Class 06

EXAMPLE 5. Find the difference of the place value of two 5’s in 650052.
SOLUTION : The place value of digit 5 in the ten’s place = 50
The place value of digit 5 in the ten thousand’s place = 50000

The required difference = 50000 50 = 49950.
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EXAMPLE 6. Write the number 3567892 in the Indian place value chart and express it in words.
SOLUTION : Indian place value chart

Lakhs Thousands Ones

Ten Lakhs Lakhs Ten Thousands Hundreds Tens Ones
Thousands
3 5 6 7 8 9 2

In words : Thirty-five lakh sixty-seven thousand eight hundred ninety-two.

EXAMPLE 7. Write all the three digit numbers using 3, 5, 9 taking each digit only once. Also write the so
formed smallest and the largest number.

SOLUTION : Keeping 3 at the one’s place, three digit numbers are 593 and 953.
Keeping 5 at the one’s place, three digit numbers are 395 and 935.

Keeping 9 at the one’s place, three digit numbers are 359 and 539.
Thus, the required numbers are 593, 953, 395, 935, 359 and 539.
The smallest number is 359 and the largest number is 953.

EXAMPLE 8. Write the following in the expanded form:
(a) Thirty crore three thousand three.
(b) Seven hundred two million five thousand five hundred nine.
SOLUTION : (a) Thirty crore three thousand three ® 30,00,03,003

=(3 10 ,00 ,00 ,000 ) +(0 ´ ,100 ,00 ,000 ) +(0 10 ,00 ,000 ) + (0 ´10 000, ) + 3 1000( ´ , )
´
´
+ (0 100 ) +(0 10 ) +(3 ´ )1
´
´
= 30,00,00,000 + 0 + 0 + 0 + 0 + 3,000 + 0 + 0 + 3
= 30,00,00,000 + 3,000 + 3
(b) Seven hundred two million five thousand five hundred nine ® 702,005,509
=(7 100 ,000 ,000 ) +(0 10 ,000 ,000 ) +(2 ´ ,1000 ,000 ) +(0 100 000, )
´
´
´
+ (0 10 ,000 ) +(5 ´ ,1000 ) +(5 100 ) +(0 10 ) +(9 ´ )1
´
´
´
= 700,000,000 + 0 + 2,000,000 + 0 + 0 + 5,000 + 500 + 0 + 9
= 700,000,000 + 2,000,000 + 5,000 + 500 + 9.
EXAMPLE 9. What is the product of place values of 2 and 5 in 1326758?
SOLUTION : Place value of 2 in 1326758 = 2 ´ 10,000 = 20,000

Place value of 5 in 1326758 = 5 ´ 10 = 50
\ Their product = 20000 ´ 50 = 10,00,000.

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