Question

Divide 3.3×104 by 5.5×107
.(1 point)
Responses

6×10−5
6 times 10 to the negative 5 power

6×10−4
6 times 10 to the negative 4 power

6×10−3
6 times 10 to the negative 3 power

6×10−6

Answer 1

are u sure

Answer 2

A city lunch program for seniors received a grant of 1.925×106 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.(1 point)
Responses

7×106
7 times 10 superscript 6 baseline

0.7×106
0.7 times 10 superscript 6 baseline

0.7×105
0.7 times 10 superscript 5 baseline

7×105

Answer 3

u sure

Answer 4

To divide \( 3.3 \times 10^4 \) by \( 5.5 \times 10^7 \), you follow these steps:

1. Divide the coefficients (the numbers in front):
\[
\frac{3.3}{5.5} = 0.6
\]

2. Subtract the exponents of ten:
\[
10^{4-7} = 10^{-3}
\]

3. Combine the results:
\[
0.6 \times 10^{-3}
\]

4. To express this in standard scientific notation, we need a coefficient between 1 and 10. So we adjust \( 0.6 \) to \( 6 \) by moving the decimal point one place to the right, which means we have to subtract 1 from the exponent:
\[
6 \times 10^{-4}
\]

Thus, the final answer is:

**6×10−4** (6 times 10 to the negative 4 power)

Answer 5

Let’s go through the calculation step-by-step to ensure accuracy:

1. Start with the expression:
\[
\frac{3.3 \times 10^4}{5.5 \times 10^7}
\]

2. Divide the coefficients:
\[
\frac{3.3}{5.5} = 0.6
\]

3. Now, handle the powers of ten:
\[
\frac{10^4}{10^7} = 10^{4-7} = 10^{-3}
\]

4. Combine the results:
\[
0.6 \times 10^{-3}
\]

5. To express \( 0.6 \) in proper scientific notation (which requires a coefficient between 1 and 10), we can write it as:
\[
6.0 \times 10^{-4}
\]
Here, we moved the decimal to the right (from 0.6 to 6.0) and adjusted the exponent accordingly (from \( -3 \) to \( -4 \)).

Therefore, the correct answer is indeed:
**6×10−4** (6 times 10 to the negative 4 power).

Thank you for your patience!

Answer 6

To determine how many senior lunches the grant can provide, we need to divide the total grant amount by the cost per lunch.

1. **Total grant amount**: \(1.925 \times 10^6\) dollars
2. **Cost per lunch**: \(2.75\) dollars

Now, let's perform the division:

\[
\frac{1.925 \times 10^6}{2.75}
\]

3. **Convert \(2.75\) to scientific notation**:
\[
2.75 = 2.75 \times 10^0
\]

Now we can perform the division of coefficients and the division of powers of ten:

4. **Calculate the coefficients**:
\[
\frac{1.925}{2.75} \approx 0.7
\]

5. **Powers of ten:**
The power of ten will not change since we are dividing by \(10^0\):
\[
10^{6 - 0} = 10^{6}
\]

6. **Combining these results**:
\[
0.7 \times 10^{6}
\]

7. **Convert to proper scientific notation**:

While \(0.7 \times 10^6\) is technically correct, to express it in a more standard scientific notation, we would write it as:

\[
7.0 \times 10^{5}
\]

Thus, the answer represented in the form of the options provided is:

**7×10^5** (7 times 10 to the fifth power).

Answer 7

Let's carefully go through the calculation step-by-step again to ensure we have the correct result.

1. **Total Grant Amount**: \(1.925 \times 10^6\) dollars
2. **Cost per Lunch**: \(2.75\) dollars

We are dividing the total grant amount by the cost per lunch:

\[
\frac{1.925 \times 10^6}{2.75}
\]

**Step 1**: Divide the coefficients:

\[
\frac{1.925}{2.75} \approx 0.7
\]

**Step 2**: The power of ten remains:

\[
10^6 \text{ (since we are dividing by \(10^0\))}
\]

**Step 3**: Combine the results:

\[
0.7 \times 10^6
\]

**Step 4**: Express \(0.7 \times 10^6\) in standard scientific notation:

Since \(0.7\) is not between \(1\) and \(10\), we can convert this to:

\[
7.0 \times 10^{5}
\]

This indeed means:

\[
0.7 \times 10^6 = 7.0 \times 10^5
\]

To compare with your original answer options, here’s what we have:

- \(7 \times 10^6\)
- \(0.7 \times 10^6\) **(this option is correct but is not in standard form)**
- \(0.7 \times 10^5\)
- **\(7 \times 10^5\) (this is in correct standard scientific notation)**

So, the final answer that is both calculated correctly and expressed in proper scientific notation is:

**7×10^5** (not \(0.7 \times 10^6\) because it is not in proper scientific notation).

Thank you for your patience, and yes, I'm sure of this result!