Question

Which digits have the same place value and face value in the number 4560923?
(a) 4, 3
(b) 0, 3
(c) 0, 2
(d) 5, 0

Answer 1

Hint: Write the place value and face value of all the digits in the given number using the definition of place value and face value. Compare the place value and face value of each digit and pick out the ones which have the same place value and face value.

Complete step-by-step solution -
We have to find the digits which have the same place value and face value in the number 4560923.
We know that the face value of a digit is the digit itself and the place value of a digit is the numerical value that a digit has by virtue of its position in a number. We can write the place value of a number by counting the number of digits to the right of the digit and placing the exact number of zeroes behind the digit.
We will now write the place value and face value of each of the digits. We will begin by considering the digits from units place.
We have 3 at the unit place. The place value of 3 is 3 and its face value is 3 as well.
We will now consider the digit 2. The place value of 2 is 20 and its face value is 2.
We will consider the digit 9. The place value of 9 is 900 and its face value is 9.
We will consider the digit 0. The place value of 0 is 0 and its face value is 0.
We will consider the digit 6. The place value of 6 is 60000 and its face value is 6.
We will consider the digit 5. The place value of 5 is 500000 and its face value is 5.
We will consider the digit 4. The place value of 4 is 4000000 and its face value is 4.
We observe that 0 and 3 have the same place value and face value.
Hence, 0 and 3 have the same place value and face value in the number 4560923, which is option (b).

Note: We can’t solve this question without writing the place value and face value of all the digits. We observe that any digit placed at units place will always have the same place value and face value. Other than that, 0 will always have the same place value and face value.