Five-digit number: Ten’s place digit = 4, Unit digit = 1/4 of ten’s place = 1, Hundred’s = 0, Thousand’s = 5×unit = 5, Ten-thousand’s = 2×ten’s = 8. Write number.
85041
Step 1: Ten’s place
\(\text{Ten’s digit} = 4\).
Step 2: Unit place
Unit is one-fourth of the ten’s digit.
\(\text{Unit digit} = \tfrac{1}{4} \times 4 = 1\).
Step 3: Hundred’s place
\(\text{Hundred’s digit} = 0\).
Step 4: Thousand’s place
Thousand’s is 5 times the unit.
\(\text{Thousand’s digit} = 5 \times 1 = 5\).
Step 5: Ten-thousand’s place
Ten-thousand’s is 2 times the ten’s.
\(\text{Ten-thousand’s digit} = 2 \times 4 = 8\).
Step 6: Write the number (from left to right)
Ten-thousand’s = \(8\), Thousand’s = \(5\), Hundred’s = \(0\), Ten’s = \(4\), Unit = \(1\).
Number = \(85041\).
Check by place-value sum
\(8\times10^4 = 80000\)
\(+\;5\times10^3 = 5000\)
\(+\;0\times10^2 = 0\)
\(+\;4\times10^1 = 40\)
\(+\;1\times10^0 = 1\)
Total = \(80000+5000+0+40+1 = 85041\).