Answer :

Final answer:

To write 7000 in scientific notation, move the decimal point three places to the left to get 7.0. Therefore, 7000 can be expressed as 7.0 × 10^3. This format is useful for simplifying calculations with large numbers.


Explanation:

Understanding Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small conveniently. It is made up of two parts: a decimal part and an exponential part. For example, in scientific notation, we express numbers in the form of a × 10^n, where a is a number greater than or equal to 1 and less than 10, and n is an integer.

Converting 7000 to Scientific Notation

To convert the number 7000 into scientific notation:

  1. Identify the decimal point in the number. In 7000, it is understood to be at the end, after the last zero.
  2. Move the decimal point to the left until you have a number between 1 and 10. For 7000, moving the decimal left three places gives us 7.0.
  3. Count how many places you moved the decimal point. In this case, you moved it 3 places to the left.
  4. Write your number as 7.0 and multiply it by 10 raised to the power of 3.

Thus, the scientific notation for 7000 is 7.0 × 10^3.


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