Question

Writing  Subtract 6.9 times 10 Superscript 5 Baseline minus 3 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
6.9 times 10 Superscript 5 Baseline minus 3 times 10 Superscript 4equals
  
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​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)

Answer 1

To subtract \(6.9 \times 10^5\) and \(3 \times 10^4\), we first need to rewrite both numbers with the same power of ten. The larger exponent is \(10^5\), so we will convert \(3 \times 10^4\) to an equivalent expression with the same power of ten.

### Step 1: Rewrite \(3 \times 10^4\)

To rewrite \(3 \times 10^4\) in terms of \(10^5\), we need to express \(10^4\) as \(0.1 \times 10^5\) since:
\[
10^4 = 0.1 \times 10^5
\]

Thus, we can rewrite \(3 \times 10^4\) as:
\[
3 \times 10^4 = 3 \times (0.1 \times 10^5) = 0.3 \times 10^5
\]

### Step 2: Rewrite the expression

Now our subtraction looks like this:
\[
6.9 \times 10^5 - 0.3 \times 10^5
\]

### Step 3: Subtract the coefficients

Now that both terms are in the same power of ten, we can subtract the coefficients:
\[
(6.9 - 0.3) \times 10^5 = 6.6 \times 10^5
\]

### Final Answer

Thus, the final result of \(6.9 \times 10^5 - 3 \times 10^4\) in scientific notation is:
\[
6.6 \times 10^5
\]