What is the product of the face value and the place value of 7 in the numeral 561738?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 4900
The face value of a digit is the digit itself; its place value is the digit multiplied by the value of its position.
In 561738 the digit 7 is in the hundreds place
Face value \(=7\), place value \(=7\times100=700\)
Product \(=7\times700=4900\)
The product is 4900.
Why the other options are incorrect
Option (2) 49000 — Incorrect. This takes 7 as standing in the thousands place, one place too high.
Option (3) 700 — Incorrect. This is only the place value of 7; it still has to be multiplied by the face value 7.
Option (4) 490 — Incorrect. This takes 7 as standing in the tens place, one place too low.