Respuesta :
762,508 in expanded form using exponents is given as:
[tex]7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0[/tex]
Solution:
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
Write 762508 in Expanded form
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
Using exponents we can write as,
[tex]7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0[/tex]
