Find the difference between the place value and the face value of 6 in 856973.

Given data

• Number: 856973; digit of interest: 6

Concept / Approach

• Face value of a digit is the digit itself.
• Place value = digit × (place weight). Here, 856973 = 8(10^5) + 5(10^4) + 6(10^3) + 9(10^2) + 7(10^1) + 3.

Step-by-step calculation

Place value of 6: 6 × 1000 = 6000Face value of 6: 6Difference = 6000 − 6 = 5994

Verification

The 6 is in the thousands place (third from the right): weight 10^3.

Common pitfalls

• Using hundreds (10^2) by miscounting positions.

Final Answer

5994