Question

What number represents 3.2 times 10^-3 in standard form?

Answer 1

now change that number to 6.4 times 10^5

Answer 2

6 times 10^4 is how many times greater than 6 times 10^2?
1000
10
100
10000

Answer 3

3 times 10^8 is how many times greater than 3 times 10^2?

Answer 4

Multiply. Write your product in scientific notation. (1.25 times 10^3) times (3.2 times 10^2)

Answer 5

Divide. Write your quotient in scientific notation. (1.5 times 10^7) divided by (3 times 10^3)

Answer 6

To convert the number \( 3.2 \times 10^{-3} \) into standard form, you move the decimal point in the number \( 3.2 \) three places to the left because of the negative exponent.

Starting with \( 3.2 \):
- Move the decimal point one place to the left: \( 0.32 \)
- Move it a second place to the left: \( 0.032 \)
- Move it a third place to the left: \( 0.0032 \)

Thus, \( 3.2 \times 10^{-3} \) in standard form is \( 0.0032 \).

Answer 7

To convert the number \( 6.4 \times 10^5 \) into standard form, you move the decimal point in the number \( 6.4 \) five places to the right because of the positive exponent.

Starting with \( 6.4 \):
- Move the decimal point one place to the right: \( 64 \)
- Move it a second place to the right: \( 640 \)
- Move it a third place to the right: \( 6400 \)
- Move it a fourth place to the right: \( 64000 \)
- Move it a fifth place to the right: \( 640000 \)

Thus, \( 6.4 \times 10^5 \) in standard form is \( 640000 \).

Answer 8

To determine how many times greater \( 6 \times 10^4 \) is than \( 6 \times 10^2 \), we can first calculate both numbers:

1. Calculate \( 6 \times 10^4 \):
\[
6 \times 10^4 = 6 \times 10000 = 60000
\]

2. Calculate \( 6 \times 10^2 \):
\[
6 \times 10^2 = 6 \times 100 = 600
\]

Now, we will find how many times greater \( 60000 \) is than \( 600 \):
\[
\frac{60000}{600} = 100
\]

Thus, \( 6 \times 10^4 \) is **100 times greater** than \( 6 \times 10^2 \). The correct answer is **100**.

Answer 9

To determine how many times greater \( 3 \times 10^8 \) is than \( 3 \times 10^2 \), we can calculate both numbers:

1. Calculate \( 3 \times 10^8 \):
\[
3 \times 10^8 = 3 \times 100000000 = 300000000
\]

2. Calculate \( 3 \times 10^2 \):
\[
3 \times 10^2 = 3 \times 100 = 300
\]

Now, we will find how many times greater \( 300000000 \) is than \( 300 \):
\[
\frac{300000000}{300} = 1000000
\]

Thus, \( 3 \times 10^8 \) is **1,000,000 times greater** than \( 3 \times 10^2 \).

Answer 10

To multiply the numbers in scientific notation \( (1.25 \times 10^3) \times (3.2 \times 10^2) \), we can use the following steps:

1. **Multiply the coefficients**:
\[
1.25 \times 3.2 = 4.0
\]

2. **Add the exponents**:
\[
10^3 \times 10^2 = 10^{3+2} = 10^5
\]

3. **Combine the results**:
\[
4.0 \times 10^5
\]

The product in scientific notation is:
\[
\boxed{4.0 \times 10^5}
\]

Answer 11

To divide the numbers in scientific notation \( \frac{1.5 \times 10^7}{3 \times 10^3} \), follow these steps:

1. **Divide the coefficients**:
\[
\frac{1.5}{3} = 0.5
\]

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

3. **Combine the results**:
\[
0.5 \times 10^4
\]

4. **Convert to proper scientific notation**: Since \( 0.5 \) is not in the range of \( 1 \) to \( 10 \), we adjust it by converting \( 0.5 \) to \( 5.0 \) and decrease the exponent by 1.
\[
0.5 \times 10^4 = 5.0 \times 10^{4-1} = 5.0 \times 10^3
\]

Thus, the quotient in scientific notation is:
\[
\boxed{5.0 \times 10^3}
\]