multiply 4.82x10^12 and 3.2x10^4

Answer 1

To multiply \( 4.82 \times 10^{12} \) and \( 3.2 \times 10^{4} \), you can follow these steps:

1. Multiply the coefficients (the numbers in front): \[ 4.82 \times 3.2 = 15.424 \]

2. Add the exponents of 10: \[ 10^{12} \times 10^{4} = 10^{12 + 4} = 10^{16} \]

3. Combine the results: \[ 15.424 \times 10^{16} \]

For scientific notation, we typically express the coefficient as a number between 1 and 10. Therefore, we need to convert \( 15.424 \) to scientific notation: \[ 15.424 = 1.5424 \times 10^{1} \]

Now combine this with the \( 10^{16} \): \[ 1.5424 \times 10^{1} \times 10^{16} = 1.5424 \times 10^{17} \]

Thus, the final result is: \[ \boxed{1.5424 \times 10^{17}} \]

Answer 2

divide 4820000000000 and 32000

Answer 3

To divide \( 4,820,000,000,000 \) by \( 32,000 \), you can perform the calculation directly.

1. Write the division: \[ \frac{4,820,000,000,000}{32,000} \]

2. Simplify the numbers. You can cancel out the thousands from the numerator and the denominator: \[ \frac{4,820,000,000 \text{ (12 zeros)}}{32 \text{ (4 zeros)}} = \frac{4,820,000,000}{32} \]

3. Now perform the division: \[ 4,820,000,000 \div 32 = 150,625,000 \]

So, the result of dividing \( 4,820,000,000,000 \) by \( 32,000 \) is: \[ \boxed{150625000} \]

Answer 4

the denseity of oxygen is 0.001429 grams per cubic cm. how is this number written in scientific notation?

Answer 5

To convert the density of oxygen, which is \( 0.001429 \) grams per cubic centimeter, into scientific notation, follow these steps:

1. Move the decimal point to the right until you have a number between 1 and 10. In this case, move the decimal point three places to the right: \[ 0.001429 \quad \text{becomes} \quad 1.429 \]

2. Count how many places you moved the decimal point. Here, the decimal was moved 3 places to the right, so we will use a negative exponent for the base 10: \[ 0.001429 = 1.429 \times 10^{-3} \]

Therefore, the density of oxygen in scientific notation is: \[ \boxed{1.429 \times 10^{-3}} \text{ grams per cubic cm.} \]