
Which digits have the same face value and place value in $92078634$?
Answer
479.1k+ views
Hint: To solve this question, we need to know the definitions of place value and face value.
Place value: The numerical value of the digit possessed by the virtue of its position.
Face value: The number itself is the face value.
We should write down both the place value and face value of every digit and then compare both of them and answer the question.
Complete step by step solution:
This question asks us to find the digits with the same face value and place value.
We know that place value is the numerical value of the digit possessed by virtue of its position and face value of a digit is the digit itself.
The place value chart is:
Unit – 1
Tens – 10
Hundreds – 100
Thousand – 1000
Ten thousand – 10000
Lakhs – 100000
Ten lakhs – 1000000
Crore – 10000000
To find the place value of a digit, we have to multiply the digit with the place value of its place.
Let’s write down place values and face values of all digits in the number starting from unit digit and moving towards the left to the crores.
From the table above, we can tell that the digits 4 and 0 have the same place value and face value. Hence our answer is 0,4
Note: The main step of solving this question is by drawing the place value and face value table. From the above question we can infer two things:
The unit digit will always have the same place value and face value.
If there’s a 0 in the number, the place value is always equal to its face value which is 0.
Place value: The numerical value of the digit possessed by the virtue of its position.
Face value: The number itself is the face value.
We should write down both the place value and face value of every digit and then compare both of them and answer the question.
Complete step by step solution:
This question asks us to find the digits with the same face value and place value.
We know that place value is the numerical value of the digit possessed by virtue of its position and face value of a digit is the digit itself.
The place value chart is:
Unit – 1
Tens – 10
Hundreds – 100
Thousand – 1000
Ten thousand – 10000
Lakhs – 100000
Ten lakhs – 1000000
Crore – 10000000
To find the place value of a digit, we have to multiply the digit with the place value of its place.
Let’s write down place values and face values of all digits in the number starting from unit digit and moving towards the left to the crores.
| DIGIT | PLACE VALUE | FACE VALUE |
| 4 | 1 | 4 |
| 3 | 30 | 3 |
| 6 | 600 | 6 |
| 8 | 8000 | 8 |
| 7 | 70,000 | 7 |
| 0 | 0 | 0 |
| 2 | 20,00,000 | 2 |
| 9 | 9,00,00,000 | 9 |
From the table above, we can tell that the digits 4 and 0 have the same place value and face value. Hence our answer is 0,4
Note: The main step of solving this question is by drawing the place value and face value table. From the above question we can infer two things:
The unit digit will always have the same place value and face value.
If there’s a 0 in the number, the place value is always equal to its face value which is 0.
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