Question

Quiz
Question 1 (1 point)

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Solve the following and write in scientific notation:
(6 x 10^2) / ( 2.4 x 10 ^-1)


Question 2 (1 point)

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Solve the following and write in scientific notation:

2.32 x 10 ^-3 / 5.8 x 10 ^ -7


Question 2 options:








Question 3 (1 point)

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Solve the following and write in scientific notation:
(1.44 x 10^12) / (2.5 x 10 ^-7)

Question 3 options:








Question 4 (1 point)

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Solve the following and write in scientific notation:
(4.8 x 10^8) / (1.25 x 10^ -8)

Question 4 options:








Question 5 (1 point)

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Solve the following and write in scientific notation:

( 5 x 10^8) / (8 x 10^1)
Question 5 options:









0 of 5 questions saved
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Answer 1

Let's solve the problems one by one and express the answers in scientific notation.

### Question 1:
\[
\frac{(6 \times 10^2)}{(2.4 \times 10^{-1})}
\]

1. Divide the coefficients:
\[
\frac{6}{2.4} = 2.5
\]

2. Subtract the exponents of the powers of 10:
\[
10^{2 - (-1)} = 10^{2 + 1} = 10^3
\]

3. Combine the results:
\[
2.5 \times 10^3
\]

### Answer for Question 1:
\[
2.5 \times 10^3
\]

---

### Question 2:
\[
\frac{(2.32 \times 10^{-3})}{(5.8 \times 10^{-7})}
\]

1. Divide the coefficients:
\[
\frac{2.32}{5.8} \approx 0.4
\]

2. Subtract the exponents:
\[
10^{-3 - (-7)} = 10^{-3 + 7} = 10^{4}
\]

3. Combine the results:
\[
0.4 \times 10^4 = 4.0 \times 10^{3} \quad (\text{converting to scientific notation})
\]

### Answer for Question 2:
\[
4.0 \times 10^3
\]

---

### Question 3:
\[
\frac{(1.44 \times 10^{12})}{(2.5 \times 10^{-7})}
\]

1. Divide the coefficients:
\[
\frac{1.44}{2.5} \approx 0.576
\]

2. Subtract the exponents:
\[
10^{12 - (-7)} = 10^{12 + 7} = 10^{19}
\]

3. Combine the results:
\[
0.576 \times 10^{19} = 5.76 \times 10^{18} \quad (\text{converting to scientific notation})
\]

### Answer for Question 3:
\[
5.76 \times 10^{18}
\]

---

### Question 4:
\[
\frac{(4.8 \times 10^{8})}{(1.25 \times 10^{-8})}
\]

1. Divide the coefficients:
\[
\frac{4.8}{1.25} = 3.84
\]

2. Subtract the exponents:
\[
10^{8 - (-8)} = 10^{8 + 8} = 10^{16}
\]

3. Combine the results:
\[
3.84 \times 10^{16}
\]

### Answer for Question 4:
\[
3.84 \times 10^{16}
\]

---

### Question 5:
\[
\frac{(5 \times 10^{8})}{(8 \times 10^{1})}
\]

1. Divide the coefficients:
\[
\frac{5}{8} = 0.625
\]

2. Subtract the exponents:
\[
10^{8 - 1} = 10^{7}
\]

3. Combine the results:
\[
0.625 \times 10^{7} = 6.25 \times 10^{6} \quad (\text{converting to scientific notation})
\]

### Answer for Question 5:
\[
6.25 \times 10^{6}
\]

---

### Summary of Answers:
- **Question 1:** \(2.5 \times 10^3\)
- **Question 2:** \(4.0 \times 10^3\)
- **Question 3:** \(5.76 \times 10^{18}\)
- **Question 4:** \(3.84 \times 10^{16}\)
- **Question 5:** \(6.25 \times 10^{6}\)