Write Each Number In Scientific Notation:a. 0.0000000007b. 6,700,000,000,000
Scientific notation is a way of expressing numbers in the form of a product of a number between 1 and 10 and a power of 10. This notation is widely used in mathematics, physics, and engineering to simplify the representation of large and small numbers. In this article, we will learn how to write each number in scientific notation.
What is Scientific Notation?
Scientific notation is a way of expressing numbers in the form of a product of a number between 1 and 10 and a power of 10. It is a shorthand method of writing numbers that are too large or too small to be conveniently written in standard decimal notation. The general form of scientific notation is:
a × 10^n
where a is a number between 1 and 10, and n is an integer.
Writing Numbers in Scientific Notation
To write a number in scientific notation, we need to move the decimal point to the right until we have a number between 1 and 10. The number of places we move the decimal point is the exponent of 10.
a. 0.0000000007
To write 0.0000000007 in scientific notation, we need to move the decimal point 10 places to the right to get 7. The exponent of 10 is -10.
0.0000000007 = 7 × 10^(-10)
b. 6,700,000,000,000
To write 6,700,000,000,000 in scientific notation, we need to move the decimal point 12 places to the right to get 6.7. The exponent of 10 is 12.
6,700,000,000,000 = 6.7 × 10^12
Examples of Scientific Notation
Here are a few more examples of numbers written in scientific notation:
- 0.00005 = 5 × 10^(-5)
- 4,500,000 = 4.5 × 10^6
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Scientific Notation: A Simplified Way to Express Large and Small Numbers ===========================================================
Q&A: Scientific Notation
In this article, we will answer some frequently asked questions about scientific notation.
Q: What is scientific notation?
A: Scientific notation is a way of expressing numbers in the form of a product of a number between 1 and 10 and a power of 10. It is a shorthand method of writing numbers that are too large or too small to be conveniently written in standard decimal notation.
Q: How do I write a number in scientific notation?
A: To write a number in scientific notation, you need to move the decimal point to the right until you have a number between 1 and 10. The number of places you move the decimal point is the exponent of 10.
Q: What is the general form of scientific notation?
A: The general form of scientific notation is:
a × 10^n
where a is a number between 1 and 10, and n is an integer.
Q: Can you give me some examples of scientific notation?
A: Here are a few examples of numbers written in scientific notation:
- 0.00005 = 5 × 10^(-5)
- 4,500,000 = 4.5 × 10^6
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