762,508 in expanded form using exponents is given as:
![7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0](https://tex.z-dn.net/?f=7%20%5Ctimes%2010%5E5%20%2B%206%20%5Ctimes%2010%5E4%20%2B%202%20%5Ctimes%2010%5E3%20%2B%205%20%5Ctimes%2010%5E2%20%2B0%20%5Ctimes%2010%5E1%20%2B%208%20%5Ctimes%2010%5E0)
<h3><u>Solution:</u></h3>
Given that we have to write 762, 508 in expanded form using exponents
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits
<h3><u>Write 762508 in Expanded form</u></h3>
Let us first find the place value of digits
Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Place value of 7 = 700000
In 762508, 7 is in hundred-thousands place
Place value of 6 = 60000
In 762508, 6 is in ten-thousands place.
Place value of 2 = 2000
In 762508, 2 is in thousands place
Place value of 5 = 500
In 762508, 5 is in hundreds place
Place value of 0 = 0 x 10 = 0
In 762508, 0 is in tens place
Place value of 8 = 8
In 762508, 8 is in ones place
Therefore, the expanded form is given as:
700,000 + 60,000 + 2,000 + 500 + 0 + 8
<u><em>Using exponents we can write as,</em></u>
![7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0](https://tex.z-dn.net/?f=7%20%5Ctimes%2010%5E5%20%2B%206%20%5Ctimes%2010%5E4%20%2B%202%20%5Ctimes%2010%5E3%20%2B%205%20%5Ctimes%2010%5E2%20%2B0%20%5Ctimes%2010%5E1%20%2B%208%20%5Ctimes%2010%5E0)