Math Problem Statement
Express the following value in scientific notation: 0.0000547
Solution
The problem asks you to express the value in scientific notation.
To convert a number to scientific notation:
- Move the decimal point so that there is only one non-zero digit to its left. For , moving the decimal point 5 places to the right gives .
- Count the number of places you moved the decimal. Since you moved it 5 places to the right, the exponent of 10 will be .
So, in scientific notation is .
The correct answer is:
Would you like further details or have any questions?
Here are five related questions to consider:
- How do you convert a number like 123,000 into scientific notation?
- What does the exponent in scientific notation indicate about the number?
- How can you express as a regular decimal?
- What is the scientific notation for ?
- How would the scientific notation differ if the number was negative, such as ?
Tip: When converting small decimal numbers to scientific notation, the exponent will be negative, indicating that the decimal point was moved to the right.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponents
Decimal Numbers
Formulas
Scientific Notation Formula: a × 10^n
Theorems
Scientific notation is used to express very large or very small numbers in a compact form.
Suitable Grade Level
Grades 6-8