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Zero Power Rule of Exponents Practice Math 8 Q1 (Pre-Algebra) / Exponent Rules Apply the Zero Power Rule of Integer Exponents t...Asked by YOUR TEACHER
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)
Math 8 Q2 (Pre-Algebra) / Exponent Rules
Apply the Zero Power Rule of Integer Exponents to solve 2.3 + (-1.478)
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Answered by
GPT-4o mini
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,
\[
2.3 + (-1.478) = 0.822
\]
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,
\[
2.3 + (-1.478) = 0.822
\]
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