Zero Power Rule of Exponents Practice

Math 8 Q2 (Pre-Algebra) / Exponent Rules

Apply the Zero Power Rule of Integer Exponents to solve 2.3 + (-1.478)

1 answer

The Zero Power Rule of Exponents states that any non-zero number raised to the power of zero is equal to 1. However, in the expression you provided, \(2.3 + (-1.478)\), there are no exponents to apply the Zero Power Rule directly.

Instead, let's solve the expression arithmetic-wise:

\[ 2.3 + (-1.478) = 2.3 - 1.478 \]

Now, perform the subtraction:

Subtracting \(1.478\) from \(2.3\):

  1. Align the decimal points:
    2.300
    
  • 1.478


2. Perform the subtraction:
- From the thousandths: \\(0 - 8\\) (we need to borrow)
- From the hundredths: \\(0 - 7\\) (again, we need to borrow)
- From the tenths: \\(3 - 4\\) (also need to borrow)

After careful borrowing and adjusting, you will find:

\\[
2.3 - 1.478 = 0.822
\\]

Thus, 

\\[
2.3 + (-1.478) = 0.822
\\]