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Decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part. It's the standard form for representing real numbers. For example, the decimal number 6.1 represents six whole units and one-tenth.
When converting from scientific notation to decimal notation, it's important to understand the placement of the decimal point. Scientific notation uses powers of 10 to simplify writing very large or very small numbers. In decimal notation, we just write the numbers as they are, without exponents.
So, for our problem of converting \(6.1 \times 10^{-4}\) to decimal notation, we will place the decimal point correctly based on the power of 10.

A negative exponent in scientific notation means the decimal point will be moved to the left instead of the right. The exponent tells us how many places to move the decimal point. Here, \(10^{-4}\) means we move the decimal point 4 places to the left.
Remember, a negative exponent indicates a very small number. For example, \(10^{-1} = 0.1\), \(10^{-2} = 0.01\), and so on.
Applying this to our problem \(6.1 \times 10^{-4}\): we start with the number 6.1 and move the decimal point 4 places to the left to get the final result.

Moving the decimal point can be tricky, but with a few steps, it becomes straightforward. First, note the number of places the decimal needs to move as indicated by the exponent. In this case, \(10^{-4}\) means 4 places.
Start with the number 6.1. Since the exponent is -4, you move the decimal point 4 places left. To help, add zeros as placeholders.

• Step 1: Start with 6.1.
• Step 2: Move 1 place left: 0.61.
• Step 3: Move 2 places left: 0.061.
• Step 4: Move 3 places left: 0.0061.
• Step 5: Move 4 places left: 0.00061.

This gives us our decimal notation of 0.00061.