What is the product of the face value and the place value of 3 in the numeral 2803619?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 9000
The face value of a digit is the digit itself; its place value is the digit multiplied by the value of its position.
In 2803619 the digit 3 is in the thousands place
Face value \(=3\), place value \(=3\times1000=3000\)
Product \(=3\times3000=9000\)
The product is 9000.
Why the other options are incorrect
Option (1) 900 — Incorrect. This takes 3 as standing in the hundreds place, one place too low.
Option (2) 3000 — Incorrect. This is only the place value of 3; it still has to be multiplied by the face value 3.
Option (3) 90000 — Incorrect. This takes 3 as standing in the ten-thousands place, one place too high.