0.034 in scientific notation
Understand the Problem
The question is asking for the representation of the number 0.034 in scientific notation, which is a way to express numbers as a product of a coefficient and a power of ten.
Answer
$3.4 \times 10^{-2}$
Answer for screen readers
The scientific notation for the number $0.034$ is $3.4 \times 10^{-2}$.
Steps to Solve
-
Identify the Coefficient To convert the number $0.034$ into scientific notation, we need to express it as a coefficient multiplied by a power of ten. The coefficient should be a number between $1$ and $10$. For $0.034$, we move the decimal point two places to the right to get $3.4$.
-
Determine the Power of Ten Since we moved the decimal point two places to the right, the power of ten will be negative. Specifically, since we moved it from the tenths place to the hundredths place, we denote this as $10^{-2}$.
-
Combine the Coefficient and Power of Ten Now that we have our coefficient and power of ten, we can write the scientific notation. The final expression will be:
$$ 0.034 = 3.4 \times 10^{-2} $$
The scientific notation for the number $0.034$ is $3.4 \times 10^{-2}$.
More Information
Scientific notation is particularly useful in science and engineering for simplifying very large or very small numbers. In this case, $0.034$ is a small decimal number, and using scientific notation makes it easier to read and work with.
Tips
- Incorrectly moving the decimal: Sometimes people may forget how many places to move the decimal point. Remember, you need to move to make the coefficient between $1$ and $10$.
- Using a wrong power of ten: Ensure that when you move the decimal to the right, the exponent on the power of ten is negative.
AI-generated content may contain errors. Please verify critical information
