Discussion
The sum of the place values of 7 in the number 470,752 is:
Answer: A
Correct answer: 70,700
The place value of a digit is the digit multiplied by the value of the position it occupies. In 470,752 the digit 7 appears twice. The first is in the ten thousands place, giving \( 7 \times 10000 = 70000 \). The second is in the hundreds place, giving \( 7 \times 100 = 700 \). Their sum is \[ 70000 + 700 = 70700. \] The distinction to keep clear is between place value and face value. The face value of a digit is the digit itself, unchanged wherever it stands - so the sum of the face values of 7 here is simply \( 7 + 7 = 14 \). Reading the positions carefully is what the question tests, and the usual error is misplacing a digit by one position. Writing the number with its places labelled - 4 lakhs, 7 ten-thousands, 0 thousands, 7 hundreds, 5 tens, 2 units - removes the risk entirely.
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