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  1. Problems and Solutions. Question 1: Convert 0.00000046 into scientific notation. Solution: Move the decimal point to the right of 0.00000046 up to 7 places. The decimal point was moved 7 places to the right to form the number 4.6. Since the numbers are less than 10 and the decimal is moved to the right. Hence, we use a negative exponent here.

  2. Sep 30, 2024 · Scientific notation is used in fields such as engineering, chemistry, microbiology, physics, and astronomy where very large and very small numbers are common. The basic formula used to write numbers in scientific notation is m ⨉ 10 n where m is a number greater than or equal to 1 but less than 10, 10 is the base number, and n is the exponent , or power of ten, which is a positive or negative ...

  3. Jul 20, 2022 · In scientific notation, a number n is shown as the product of that number and 10, raised to some exponent x; that is, (n × 10 x). The number 10 2 is equal to 100. If we multiply 2 × 10 2, that is equivalent to multiplying 2 × 100, or 200. Thus 200 can be written in scientific notation as 2 × 10 2. When we convert a number to scientific ...

  4. Sep 20, 2022 · Scientific Notation. Scientific notation is a way to express numbers as the product of two numbers: a coefficient and the number 10 raised to a power. It is a very useful tool for working with numbers that are either very large or very small. As an example, the distance from Earth to the Sun is about 150,000,000,000 meters—a very large ...

  5. Aug 13, 2022 · Changing a number in scientific notation to standard form: If the scientific notation has a positive power, the standard number is greater than one. Example: 8 x 10 4 = 80,000. If the scientific notation has a negative power, then the standard number is less than one. Example: 8 x 10 -2 = 0.08. Example 1.4.4 1.4. 4.

  6. So when converting a number in “standard” or “decimal” notation to scientific, there are two basic steps. Step 1: Put the decimal after the first significant digit. Step 2: Indicate how many places the decimal moved by the power of 10. – A positive power of 10 indicates the decimal moved to the left. For example, 300,000,000 m/s ...

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  8. Mar 29, 2013 · Scientific notation is a way to express numbers as the product of two numbers: a coefficient and the number 10 raised to a power. It is a very useful tool for working with numbers that are either very large or very small. As an example, the distance from Earth to the Sun is about 150,000,000,000 meters – a very large distance indeed.

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