Math Problem Statement
Write the number 7,300 in scientific notation.
Solution
To write the number in scientific notation, we need to express it in the form:
where is a number between and , and is an integer.
Steps:
- Move the decimal point in to create a number between and . Moving the decimal two places to the left gives us .
- Since we moved the decimal two places, we multiply by .
Thus, in scientific notation is:
Would you like more details or have any questions?
Here are some related questions to consider:
- How would you convert other large numbers, like or , to scientific notation?
- What would the scientific notation look like for very small numbers, such as ?
- How does scientific notation help when dealing with extremely large or small numbers in real-world applications?
- What are the rules for multiplying or dividing numbers in scientific notation?
- How would you add or subtract numbers that are in scientific notation?
Tip: Scientific notation is especially useful in scientific fields, as it simplifies calculations with very large or very small values.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Powers of Ten
Formulas
a × 10^n where a is between 1 and 10, and n is an integer
Theorems
-
Suitable Grade Level
Grades 5-7