Math Problem Statement

Express the following value in scientific notation: 0.0000547

Solution

The problem asks you to express the value 0.00005470.0000547 in scientific notation.

To convert a number to scientific notation:

  1. Move the decimal point so that there is only one non-zero digit to its left. For 0.00005470.0000547, moving the decimal point 5 places to the right gives 5.475.47.
  2. Count the number of places you moved the decimal. Since you moved it 5 places to the right, the exponent of 10 will be 5-5.

So, 0.00005470.0000547 in scientific notation is 5.47×1055.47 \times 10^{-5}.

The correct answer is: 5.47×1055.47 \times 10^{-5}

Would you like further details or have any questions?

Here are five related questions to consider:

  1. How do you convert a number like 123,000 into scientific notation?
  2. What does the exponent in scientific notation indicate about the number?
  3. How can you express 7.89×1027.89 \times 10^2 as a regular decimal?
  4. What is the scientific notation for 0.00000320.0000032?
  5. How would the scientific notation differ if the number was negative, such as 0.0000547-0.0000547?

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