Question
Divide 3.3×10^4 by 5.5×10^7
.(1 point)
Responses
6×10−6
6 times 10 to the negative 6 power
6×10−3
6 times 10 to the negative 3 power
6×10−4
6 times 10 to the negative 4 power
6×10−5
.(1 point)
Responses
6×10−6
6 times 10 to the negative 6 power
6×10−3
6 times 10 to the negative 3 power
6×10−4
6 times 10 to the negative 4 power
6×10−5
Answers
Answer
A city lunch program for seniors received a grant of 1.925×10^6 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
7×10^6
7 times 10 superscript 6 baseline
0.7×10^6
0.7 times 10 superscript 6 baseline
0.7×10^5
0.7 times 10 superscript 5 baseline
7×10^5
Responses
7×10^6
7 times 10 superscript 6 baseline
0.7×10^6
0.7 times 10 superscript 6 baseline
0.7×10^5
0.7 times 10 superscript 5 baseline
7×10^5
Answer
Solomon needs to distribute 10.5 gallons of perfume among 3.5×10^2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.(1 point)
Responses
3×10−1
3 times 10 superscript negative 1 baseline
3×102
3 times 10 squared
0.35×10−1
0.35 times 10 superscript negative 1 baseline
3×10−2
Responses
3×10−1
3 times 10 superscript negative 1 baseline
3×102
3 times 10 squared
0.35×10−1
0.35 times 10 superscript negative 1 baseline
3×10−2
Answer
A large pavilion is made of 2.967×10^5 bricks. There are 6.9 bricks per square foot. How many square feet is the pavilion? Write the answer in scientific notation.(1 point)
Responses
0.43×104
0.43 times 10 superscript 4 baseline
4.3×105
4.3 times 10 superscript 5 baseline
4.3×104
4.3 times 10 superscript 4 baseline
2.33×105
Responses
0.43×104
0.43 times 10 superscript 4 baseline
4.3×105
4.3 times 10 superscript 5 baseline
4.3×104
4.3 times 10 superscript 4 baseline
2.33×105
Answered by
GPT-4o mini
To divide \(3.3 \times 10^4\) by \(5.5 \times 10^7\), you can separate the numbers and the powers of 10:
\[
\frac{3.3 \times 10^4}{5.5 \times 10^7} = \frac{3.3}{5.5} \times \frac{10^4}{10^7}
\]
First, calculate \(\frac{3.3}{5.5}\):
\[
\frac{3.3}{5.5} = 0.6
\]
Next, calculate \(\frac{10^4}{10^7}\):
\[
\frac{10^4}{10^7} = 10^{4-7} = 10^{-3}
\]
Now, combine the results:
\[
0.6 \times 10^{-3}
\]
To express this in proper scientific notation, convert \(0.6\) to \(6.0\):
\[
0.6 \times 10^{-3} = 6.0 \times 10^{-4}
\]
Thus, the final answer is:
\[
\boxed{6 \times 10^{-4}}
\]
\[
\frac{3.3 \times 10^4}{5.5 \times 10^7} = \frac{3.3}{5.5} \times \frac{10^4}{10^7}
\]
First, calculate \(\frac{3.3}{5.5}\):
\[
\frac{3.3}{5.5} = 0.6
\]
Next, calculate \(\frac{10^4}{10^7}\):
\[
\frac{10^4}{10^7} = 10^{4-7} = 10^{-3}
\]
Now, combine the results:
\[
0.6 \times 10^{-3}
\]
To express this in proper scientific notation, convert \(0.6\) to \(6.0\):
\[
0.6 \times 10^{-3} = 6.0 \times 10^{-4}
\]
Thus, the final answer is:
\[
\boxed{6 \times 10^{-4}}
\]
Answered by
GPT-4o mini
To find out how many senior lunches the grant can provide, divide the total amount of the grant \(1.925 \times 10^6\) dollars by the cost per lunch of \(2.75\) dollars.
First, perform the division:
\[
\frac{1.925 \times 10^6}{2.75}
\]
Calculate \(\frac{1.925}{2.75}\):
\[
\frac{1.925}{2.75} \approx 0.7
\]
Now, combine this with the power of ten:
\[
0.7 \times 10^6
\]
Since we need to express the answer in scientific notation, we write it as:
\[
7.0 \times 10^5
\]
Thus, the final answer is:
\[
\boxed{7 \times 10^5}
\]
First, perform the division:
\[
\frac{1.925 \times 10^6}{2.75}
\]
Calculate \(\frac{1.925}{2.75}\):
\[
\frac{1.925}{2.75} \approx 0.7
\]
Now, combine this with the power of ten:
\[
0.7 \times 10^6
\]
Since we need to express the answer in scientific notation, we write it as:
\[
7.0 \times 10^5
\]
Thus, the final answer is:
\[
\boxed{7 \times 10^5}
\]
Answered by
GPT-4o mini
To find out how many gallons of perfume will be in each container, divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10²).
\[
\text{Gallons per container} = \frac{10.5}{3.5 \times 10^2}
\]
First, divide \(10.5\) by \(3.5\):
\[
\frac{10.5}{3.5} = 3
\]
Now, we need to divide by \(10^2\):
\[
\frac{3}{10^2} = 3 \times 10^{-2}
\]
Therefore, the answer is:
\[
\boxed{3 \times 10^{-2}}
\]
\[
\text{Gallons per container} = \frac{10.5}{3.5 \times 10^2}
\]
First, divide \(10.5\) by \(3.5\):
\[
\frac{10.5}{3.5} = 3
\]
Now, we need to divide by \(10^2\):
\[
\frac{3}{10^2} = 3 \times 10^{-2}
\]
Therefore, the answer is:
\[
\boxed{3 \times 10^{-2}}
\]
Answered by
GPT-4o mini
To find the number of square feet of the pavilion, we need to divide the total number of bricks by the number of bricks per square foot.
Given:
- Total bricks = \(2.967 \times 10^5\)
- Bricks per square foot = \(6.9\)
We can set up the calculation as follows:
\[
\text{Square feet} = \frac{2.967 \times 10^5}{6.9}
\]
Calculating \(\frac{2.967}{6.9}\):
\[
\frac{2.967}{6.9} \approx 0.43
\]
Now, we include the power of ten:
\[
0.43 \times 10^5
\]
To write this in proper scientific notation:
\[
0.43 \times 10^5 = 4.3 \times 10^4
\]
Thus, the final answer is:
\[
\boxed{4.3 \times 10^4}
\]
Given:
- Total bricks = \(2.967 \times 10^5\)
- Bricks per square foot = \(6.9\)
We can set up the calculation as follows:
\[
\text{Square feet} = \frac{2.967 \times 10^5}{6.9}
\]
Calculating \(\frac{2.967}{6.9}\):
\[
\frac{2.967}{6.9} \approx 0.43
\]
Now, we include the power of ten:
\[
0.43 \times 10^5
\]
To write this in proper scientific notation:
\[
0.43 \times 10^5 = 4.3 \times 10^4
\]
Thus, the final answer is:
\[
\boxed{4.3 \times 10^4}
\]
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