PLACE VALUE OF THE DIGIT IN THE NUMBER

Problem 1 :

What number is represented by the digit 7 in the following?

a) 47   b) 67   c) 372   d) 702

e) 4709   f) 17 000   g) 3067   h) 175, 236

Solution :

a)  47

Expanded form of 47 :

47 = 4 x 10 + 7 x 1

47 = 40 + 7

So, the value of the digit 7 in the given the number 7.

b) 67

Expanded form of 67 :

67 = 6 x 10 + 7 x 1

67 = 60 + 7

So, the value of the digit 7 in the given the number 7.

c) 372

Expanded form of 372 :

372 = 6 x 10 + 7 x 1

67 = 60 + 7

So, the value of the digit 7 in the given the number 7.

d) 702

Expanded form of 702 :

702 = 7x100 + 0x10 + 2x1

702 = 700 + 2

So, the value of the digit 7 in the given the number 700.

e) 4709

Expanded form of 4709 :

4709 = 4x1000 + 7x100 + 0x10 + 9x1

4709 = 4000 + 700 + 0 + 9

So, the value of the digit 7 in the given the number 700.

f) 17000

Expanded form of 17000 :

17000 = 1x10000 + 7x1000 + 0x100 + 0x10 + 0x1

So, the value of the digit 7 in the given the number 7000.

g) 3067

Expanded form of 3067 :

3067 = 3x1000 + 0x100 + 6x10 + 7x1

So, the value of the digit 7 in the given the number 7.

h) 175,236

Expanded form of 175,236 :

175236 = 1x100000 + 7x10000 + 5x1000 + 2x100 + 3x10 + 6x1

So, the value of the digit 7 in the given the number 70000.

Problem 2 :

Divide the greatest number of 9 digits by the greatest number of 3 digits.

a) 1001001    b) 1001101    c) 1001011    d) 1000001

Solution :

Greatest 9 digit number = 999999999

Greatest 3 digit number = 999

= 999999999 ÷ 999

= 1001001

Option a is correct.

Problem 3 :

For the number 34.2495, what is the place value of the digit 9?

a) 9 tenths b) 9 hundredths c) 9 thousandths d) 9 ten-thousandths

Solution :

The place value of 9 is 9 thousandths.

Problem 4 :

I have 7 hundreds, 8 tens and 9 ones. What number am I ?

Solution :

• 7 hundreds = 700
• 8 tens = 80
• 9 ones = 9

= 700 + 80 + 9

= 789 is the required number.

Problem 5 :

In a number, the face value of a digit in the one’s place is 5 and ten’s place is 4, then what is the number?

Solution :

The face value of the digit in the one's place = 5

Ten's place = 4

So, the required number is 45.

Problem 6 :

The place value of my one’s digit is 5 and ten’s digit is 50, then which number am I?

Solution :

Place value of One's digit = 5

Place value of Ten's digit = 50

Writing in expanded form, we get

= 5 x 10 + 5 x 1

= 50 + 5

= 55

So, the required number is 55.

Problem 7 :

Write the difference between the smallest three digit number and the greatest two digit number.

Solution :

Smallest three digit number = 100

Greatest two digit number = 99

Difference between them = 100 - 99

= 1

So, the required number is 1.

Problem 8 :

I am a three digit number. My one's digit is 4. So am I an even or odd number? 

Solution :

The number which is at one's place = 4

A number which ends with 0, 2, 4, 6 or 8 is even number. So, the required three digit number is even.

Problem 9 :

Write the number which comes just before the largest three digit number.

Solution :

• The largest three digit number is 999.
• The predecessor is 998.

Problem 10 :

Write five even two digit numbers, which have 5 in their ten’s place. 

Solution :

Every even number should end with any one of the digits 0, 2, 4, 6 or 8. Since the number which is at the ten's place is 5. Then the required even number would be 

50, 52, 54, 56

Problem 11 :

Write 5 odd two digits numbers which have 8 in their ten’s place.

Solution :

Every odd number will end with any one of the digits 1, 3, 5, 7 or 9.

8 should be at the ten's place, then the required number will be 

81, 83, 85, 87, 89

Problem 12 :

Write any three numbers in which the one's digit is double the ten's digit

Solution :

Let us consider 1 at the ten's digit, then the number which is at one's digit is 12.

Like this we may create many numbers, which are

12, 24, 36, 48