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**The Smallest 7 Digit Number:**
The smallest 7-digit number is 1,000,000. This number consists of seven digits, namely 1, 0, 0, 0, 0, 0, and 0. The digit in the leftmost position, which is 1, represents the millions place. The following six zeros represent the hundreds of thousands, tens of thousands, thousands, hundreds, tens, and units places, respectively.
**The Largest 8 Digit Number:**
The largest 8-digit number is 99,999,999. This number consists of eight digits, from 9 in the leftmost position to 9 in the rightmost position. The digit 9 in the millions place represents 90 million, while the digit 9 in the units place represents 9 units. The remaining digits represent the tens of millions, hundreds of thousands, tens of thousands, thousands, hundreds, tens, and units places, respectively.
**The Place Value of 5 in 7,005,380:**
In the number 7,005,380, the digit 5 is in the thousands place. The place value of 5 is determined by its position in the number. Starting from the rightmost position, the digit 5 is in the third position. Moving from right to left, the positions represent the units, tens, hundreds, thousands, ten thousands, hundred thousands, and millions places. Therefore, the place value of 5 in 7,005,380 is 5,000.
**The Expanded Form of the Number 76,70,905:**
The expanded form of a number breaks it down into the sum of its place values. In the number 76,70,905, each digit has a specific place value. Let's break it down:
- The digit 7 is in the ten millions place, representing 70 million.
- The digit 6 is in the millions place, representing 6 million.
- The digit 7 is in the hundred thousands place, representing 70,000.
- The digit 0 is in the ten thousands place, representing 0.
- The digit 9 is in the thousands place, representing 9,000.
- The digit 0 is in the hundreds place, representing 0.
- The digit 5 is in the tens place, representing 50.
- The digit 0 is in the units place, representing 0.
Therefore, the expanded form of the number 76,70,905 is 70,000,000 + 6,000,000 + 70,000 + 9,000 + 50 + 0, which simplifies to 76,70,950.