Question

The number in which 7 has the greatest place value:
A. 8701
B. 70012
C. 997201
D. None of the above

Answer 1

Hint: The place value of a digit in a number is highest towards the left and decreases as we move towards the right. For example: Unit digit is towards the extreme end. If we have repeating numbers their place values will be different. For solving the above question, we make use of the place value chart and write down the place values of 7 in every option and compare them with each other.

Complete answer:
Let’s write down the place value chart:
Ten lakhs – 10,00,000
Lakhs – 1,00,000
Ten thousand – 10,000
Thousand - 1000
Hundred - 100
Ten -10
Unit -1
From right to left, along with place values.
Let’s start by listing out all the three options.
A. 8701
Here, 7 is in the hundredth place. Hence the place value of 7 in this number will be
$7\times 100=700$
B. 70012
Here, 7 is in ten thousandth place. Hence the place value of 7 in this number will be
$7\times 10,000=70,000$
C. 997201
Here, 7 is in the thousandth place. Hence the place value of 7 in this number will be
$7\times 1000=7000$
 After comparing the values, we know that: 70,000 is the greatest.

Therefore, the correct option is B

Note: Students make a common mistake of assuming that the number towards the extreme right has the highest place value.
For example: The place value of 7 in 15,67,345 is greater than the place value of 7 in 7523 even though it is towards the extreme left. The digit towards the extreme right in a ‘specific’ number has the highest place value when compared to the rest.