Question
Writing Subtract 6.6 times 10 Superscript 5 Baseline minus 8 times 10 Superscript 4. Use pencil and paper. Describe the process of rewriting the numbers in this problem with the same power of 10.
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Part 1
6.6 times 10 Superscript 5 Baseline minus 8 times 10 Superscript 4equals
enter your response here
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Question content area bottom
Part 1
6.6 times 10 Superscript 5 Baseline minus 8 times 10 Superscript 4equals
enter your response here
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answers
GPT-4o mini
To solve the expression \( 6.6 \times 10^5 - 8 \times 10^4 \), we need to rewrite both numbers with the same power of 10.
### Step 1: Rewrite 8 times \(10^4\) in terms of \(10^5\)
We know that \(10^5\) is equal to \(10^4 \times 10^1\). Therefore, we can express \(8 \times 10^4\) as follows:
\[
8 \times 10^4 = 8 \times (10^5 \times 10^{-1}) = 0.8 \times 10^5
\]
### Step 2: Substitute back into the expression
Now we can substitute \(0.8 \times 10^5\) into the original expression:
\[
6.6 \times 10^5 - 8 \times 10^4 = 6.6 \times 10^5 - 0.8 \times 10^5
\]
### Step 3: Combine the terms
Since both terms now have the same power of 10, we can subtract their coefficients:
\[
(6.6 - 0.8) \times 10^5 = 5.8 \times 10^5
\]
### Final result
Thus, the expression \( 6.6 \times 10^5 - 8 \times 10^4 \) simplifies to:
\[
5.8 \times 10^5
\]
### Conclusion
The final answer is:
\[
\boxed{5.8 \times 10^5}
\]
### Step 1: Rewrite 8 times \(10^4\) in terms of \(10^5\)
We know that \(10^5\) is equal to \(10^4 \times 10^1\). Therefore, we can express \(8 \times 10^4\) as follows:
\[
8 \times 10^4 = 8 \times (10^5 \times 10^{-1}) = 0.8 \times 10^5
\]
### Step 2: Substitute back into the expression
Now we can substitute \(0.8 \times 10^5\) into the original expression:
\[
6.6 \times 10^5 - 8 \times 10^4 = 6.6 \times 10^5 - 0.8 \times 10^5
\]
### Step 3: Combine the terms
Since both terms now have the same power of 10, we can subtract their coefficients:
\[
(6.6 - 0.8) \times 10^5 = 5.8 \times 10^5
\]
### Final result
Thus, the expression \( 6.6 \times 10^5 - 8 \times 10^4 \) simplifies to:
\[
5.8 \times 10^5
\]
### Conclusion
The final answer is:
\[
\boxed{5.8 \times 10^5}
\]