Problem 75 - College Algebra Essentials

Question

Write each number in decimal notation without the use of exponents. $$-6.00001 \times 10^{10}$$

Step-by-Step Solution

Answer

The number \(-6.00001 \times 10^{10}\) in decimal notation without the use of exponents is -60000100000.

Step 1: Identify the number and exponent

The number is -6.00001 and it is multiplied by \(10^{10}\). So, the exponent is 10.

Step 2: Removal of the exponent

To remove the exponent, shift the decimal point 10 places to the right as indicated by the exponent. If the initial number were positive, the resulting number would also be positive. However, since the initial number is negative, the final number remains negative.

Step 3: Write the number

After moving the decimal point 10 places to the right, the resulting number is -60000100000. This is the decimal notation of \(-6.00001 \times 10^{10}\) without the use of exponents.