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

Answer 1

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 2

now change that number to 6.4 times 10^5

Answer 3

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 4

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

Answer 5

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 6

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

Answer 7

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 8

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

Answer 9

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 10

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

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: \[ \boxed{5.0 \times 10^3} \]