A calculator displays 6.564E6. How do you write 6.564E6 in standard form?
The correct answer and explanation is:
The number 6.564E6 can be written in standard form as 6,564,000.
Explanation:
In scientific notation, “E” represents “times 10 raised to the power of.” In this case, the expression 6.564E6 means:
6.564×1066.564 \times 10^6
This indicates that the decimal point in 6.564 needs to be moved six places to the right, since the exponent is 6 (positive). Here is how it works:
- Start with the number 6.564.
- Move the decimal point six places to the right:
- Moving it once gives 65.64.
- Moving it twice gives 656.4.
- Moving it three times gives 6564.
- Moving it four times gives 65,640.
- Moving it five times gives 656,400.
- Moving it six times gives 6,564,000.
Therefore, 6.564E6 in standard form is 6,564,000.
Scientific notation is useful for representing very large or very small numbers in a more concise and manageable way. By converting it to standard form, the number becomes easier to understand and work with in most practical applications. For example, 6,564,000 might represent a population count or a measurement in science, and scientific notation helps simplify such large numbers.