Question
Writing Subtract 8.9 times 10 Superscript 5 Baseline minus 2 times 10 Superscript 4. Use pencil and paper. Describe the process of rewriting the numbers in this problem with the same power of 10.
Question content area bottom
Part 1
8.9 times 10 Superscript 5 Baseline minus 2 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
8.9 times 10 Superscript 5 Baseline minus 2 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 subtract \( 8.9 \times 10^5 - 2 \times 10^4 \), we first need to rewrite the numbers so that they have the same power of 10.
### Step 1: Rewrite the Numbers
Since \( 10^5 \) is a higher power than \( 10^4 \), we'll convert \( 2 \times 10^4 \) to a term with a power of \( 10^5 \).
To convert \( 2 \times 10^4 \) to a term with a power of \( 10^5 \), we can multiply it by \( 10^{-1} \) (which is the same as dividing by 10). This gives us:
\[
2 \times 10^4 = 2 \times 10^4 \times \frac{10^1}{10^1} = 2 \times 10^{4+1} \times 10^{-1} = 2 \times 10^{5-1} = 0.2 \times 10^5.
\]
### Step 2: Perform the Subtraction
Now we can rewrite the original subtraction using the new equivalent term:
\[
8.9 \times 10^5 - 0.2 \times 10^5.
\]
Since both terms now have the same power of \( 10^5 \), we can combine them:
\[
(8.9 - 0.2) \times 10^5 = 8.7 \times 10^5.
\]
### Final Answer:
Thus, \( 8.9 \times 10^5 - 2 \times 10^4 \) simplifies to:
\[
8.7 \times 10^5.
\]
### Step 1: Rewrite the Numbers
Since \( 10^5 \) is a higher power than \( 10^4 \), we'll convert \( 2 \times 10^4 \) to a term with a power of \( 10^5 \).
To convert \( 2 \times 10^4 \) to a term with a power of \( 10^5 \), we can multiply it by \( 10^{-1} \) (which is the same as dividing by 10). This gives us:
\[
2 \times 10^4 = 2 \times 10^4 \times \frac{10^1}{10^1} = 2 \times 10^{4+1} \times 10^{-1} = 2 \times 10^{5-1} = 0.2 \times 10^5.
\]
### Step 2: Perform the Subtraction
Now we can rewrite the original subtraction using the new equivalent term:
\[
8.9 \times 10^5 - 0.2 \times 10^5.
\]
Since both terms now have the same power of \( 10^5 \), we can combine them:
\[
(8.9 - 0.2) \times 10^5 = 8.7 \times 10^5.
\]
### Final Answer:
Thus, \( 8.9 \times 10^5 - 2 \times 10^4 \) simplifies to:
\[
8.7 \times 10^5.
\]