Subjects algebra

Place Value F39534

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1. **State the problem:** We need to find a number based on place value clues: - 1 ten thousand - 2 more tens than ten thousands - 5 more hundreds than ten thousands - 3 more thousands than ten thousands - 2 fewer hundred thousands than hundreds - 6 more ones than tens 2. **Define variables:** Let the digit in the ten thousands place be $T_{10k} = 1$ (given). 3. **Find other digits based on $T_{10k}$:** - Tens digit $T = T_{10k} + 2 = 1 + 2 = 3$ - Hundreds digit $H = T_{10k} + 5 = 1 + 5 = 6$ - Thousands digit $Th = T_{10k} + 3 = 1 + 3 = 4$ - Hundred thousands digit $Hh = H - 2 = 6 - 2 = 4$ - Ones digit $O = T + 6 = 3 + 6 = 9$ 4. **Check all digits:** - Hundred thousands: 4 - Ten thousands: 1 - Thousands: 4 - Hundreds: 6 - Tens: 3 - Ones: 9 5. **Write the number:** $$\text{Number} = 4\times100000 + 1\times10000 + 4\times1000 + 6\times100 + 3\times10 + 9 = 414639$$ 6. **Final answer:** The number is **414639**.