Problem 67 - College Algebra Essentials

Question

Write each number in decimal notation without the use of exponents. $$6 \times 10^{-4}$$

Step-by-Step Solution

Answer

The decimal notation for the number \(6 \times 10^{-4}\) is 0.0006.

Step 1 - Understanding The Task

Here we see a number, \(6 \times 10^{-4}\), in scientific notation. The base is 10 and the exponent is -4. This notation means that the decimal point in the number 6 should be moved 4 places to the left (because the exponent is negative).

Step 2 - Moving The Decimal Point

To write the number in decimal notation, start with the digit 6. Since the exponent of 10 is -4, we need to move the decimal point 4 places to the left. Since we only have one digit to start with, this means we also need to add zeroes to hold those places.

Step 3 - Writing The Number In Decimal Form

Once the decimal point has been moved 4 places to the left and zeroes added to hold the places, we get the number 0.0006 in decimal notation.