Answer :

Sure! Let's write the number [tex]$6,892,221$[/tex] in expanded form by breaking it down according to the value of each digit:

1. Millions place: The first digit is 6, which is in the millions place. This represents [tex]\(6 \times 1,000,000 = 6,000,000\)[/tex].

2. Hundred thousands place: The second digit is 8, which is in the hundred thousands place. This represents [tex]\(8 \times 100,000 = 800,000\)[/tex].

3. Ten thousands place: The third digit is 9, which is in the ten thousands place. This represents [tex]\(9 \times 10,000 = 90,000\)[/tex].

4. Thousands place: The fourth digit is 2, which is in the thousands place. This represents [tex]\(2 \times 1,000 = 2,000\)[/tex].

5. Hundreds place: The fifth digit is 2, which is in the hundreds place. This represents [tex]\(2 \times 100 = 200\)[/tex].

6. Tens place: The sixth digit is 2, which is in the tens place. This represents [tex]\(2 \times 10 = 20\)[/tex].

7. Ones place: The seventh digit is 1, which is in the ones place. This represents [tex]\(1 \times 1 = 1\)[/tex].

Putting it all together, the expanded form of the number [tex]$6,892,221$[/tex] is:

[tex]\[ 6,000,000 + 800,000 + 90,000 + 2,000 + 200 + 20 + 1 \][/tex]