Question

If 100 < a < 10000, and x = a × 10", determine e in standard form.

Answer 1

To determine e in standard form for the expression x = a × 10", we need to rewrite the given expression using scientific notation and then convert it into standard form.

Step-by-step explanation:

To determine e in standard form for the expression x = a × 10", we need to rewrite the given expression using scientific notation and then convert it into standard form.

1. Given that 100 < a < 10000 and x = a × 10", we can write 10" as 10 multiplied by itself ". So, x = a × (10 multiplied by itself ")
2. Since the exponent in scientific notation represents the number of times we multiply 10 by itself, we can simplify the expression by counting the number of zeros in the exponent. For example, if the exponent is 3, there will be three zeros after the first digit. In this case, "," represents the number of zeros in the exponent.
3. Therefore, x = a × 10 multiplied by itself ", which can be written as x = a × 10 to the power of ".
4. To convert the expression into standard form, we need to calculate the product of a and 10 to the power of ". For example, if a = 500 and " = 4, then x = 500 × 10,000 = 5,000,000.

So, e in standard form is 5,000,000.