Subtract 4.66×10^−5−7.34×10^−7 (1 point) ..

Answer 1

To subtract the numbers \(4.66 \times 10^{-5}\) and \(7.34 \times 10^{-7}\), we need to express them with the same exponent.

First, convert \(4.66 \times 10^{-5}\) to have the same exponent as \(7.34 \times 10^{-7}\):

\[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \times \frac{10^2}{10^2} = 4.66 \times 10^{-5} \times 10^{-2} = 4.66 \times 10^{-7} \times 100 \]

\[ = 4.66 \times 100 \times 10^{-7} = 466 \times 10^{-7} \]

Now, we can rewrite the subtraction:

\[ 466 \times 10^{-7} - 7.34 \times 10^{-7} = (466 - 7.34) \times 10^{-7} \]

Now, calculate \(466 - 7.34\):

\[ 466 - 7.34 = 458.66 \]

Now, we can write the result:

\[ 458.66 \times 10^{-7} \]

To convert it back to standard scientific notation:

\[ = 4.5866 \times 10^{-5} \]

Thus, the final answer is:

\[ \boxed{4.5866 \times 10^{-5}} \]

Answer 2

The U.S. national debt was $2.9617×10^13 in 2021 and $3.98×10^11 in 1971. Find how much the debt increased in the 50-year period. (1 point)

Answer 3

To find the increase in the U.S. national debt over the 50-year period from 1971 to 2021, we need to subtract the debt in 1971 from the debt in 2021.

1. National debt in 2021: \[ 2.9617 \times 10^{13} \]

2. National debt in 1971: \[ 3.98 \times 10^{11} \]

Next, we can express both amounts in the same format to perform the subtraction. Since \(2.9617 \times 10^{13}\) is much larger than \(3.98 \times 10^{11}\), we can convert \(3.98 \times 10^{11}\) to a value with the same exponent as \(2.9617 \times 10^{13}\):

\[ 3.98 \times 10^{11} = 3.98 \times 10^{11} \times \frac{100}{100} = 3.98 \times 10^{11} \times \frac{10^2}{10^2} = 3.98 \times 10^{13} \times 10^{-2} \]

This means:

\[ 3.98 \times 10^{11} = 0.0398 \times 10^{13} \]

Now, we can perform the subtraction:

\[ 2.9617 \times 10^{13} - 0.0398 \times 10^{13} = (2.9617 - 0.0398) \times 10^{13} \]

Calculating the value inside the parentheses:

\[ 2.9617 - 0.0398 = 2.9219 \]

Thus, the increase in national debt over the 50 years is:

\[ 2.9219 \times 10^{13} \]

So the final answer is:

\[ \boxed{2.9219 \times 10^{13}} \]

Answer 4

The size of a hydrogen atom is about 1.2×10^−10 m across. The size of an oxygen atom is 0.000000000152 m across. What is the difference between the sizes of these atoms in scientific notation?(1 point)

Answer 5

To find the difference between the sizes of a hydrogen atom and an oxygen atom, we can express both sizes in scientific notation and then perform the subtraction.

1. Size of a hydrogen atom: \[ 1.2 \times 10^{-10} , \text{m} \]

2. Size of an oxygen atom: \[ 0.000000000152 , \text{m} = 1.52 \times 10^{-10} , \text{m} \quad \text{(converted to scientific notation)} \]

Now we can perform the subtraction:

\[ 1.2 \times 10^{-10} - 1.52 \times 10^{-10} \]

To subtract these, we can put them under the same exponent:

\[ (1.2 - 1.52) \times 10^{-10} = (-0.32) \times 10^{-10} \]

To express this in proper scientific notation, we can adjust it by converting \(-0.32\) to a number between 1 and 10:

\[ -0.32 \times 10^{-10} = -3.2 \times 10^{-11} \]

Thus, the difference between the sizes of the hydrogen and oxygen atoms, in scientific notation, is:

\[ \boxed{-3.2 \times 10^{-11} , \text{m}} \]

Answer 6

these are the options:
A platelet has a bigger diameter than a red blood cell by 9.83×10^−6 m.
A platelet has a bigger diameter than a red blood cell by 9.83 times 10 superscript negative 6 baseline m.

A red blood cell has a bigger diameter than a platelet by 5.17×10^−6 m.
A red blood cell has a bigger diameter than a platelet by 5.17 times 10 superscript negative 6 baseline m.

A red blood cell has a bigger diameter than a platelet by 9.83×10^−6 m.
A red blood cell has a bigger diameter than a platelet by 9.83 times 10 superscript negative 6 baseline m.

A platelet has a bigger diameter than a red blood cell by 5.17×10^−6 m.

Answer 7

To analyze the sizes of a hydrogen atom and an oxygen atom, we previously found:

• Size of a hydrogen atom: \( 1.2 \times 10^{-10} , \text{m} \)
• Size of an oxygen atom: \( 1.52 \times 10^{-10} , \text{m} \)

Now, let's find the difference more clearly, which was calculated as:

\[ 1.2 \times 10^{-10} , \text{m} - 1.52 \times 10^{-10} , \text{m} = -0.32 \times 10^{-10} , \text{m} = -3.2 \times 10^{-11} , \text{m} \]

This means the oxygen atom is larger by \( 3.2 \times 10^{-11} , \text{m} \) compared to the hydrogen atom.

However, you mentioned options related to platelets and red blood cells, which seem to differ from our previous discussion on atom sizes. The calculations suggest that:

1. Oxygen atom: \( 1.52 \times 10^{-10} , \text{m} \)
2. Hydrogen atom: \( 1.2 \times 10^{-10} , \text{m} \)

When comparing:

• A red blood cell is larger than a platelet by \( (1.52 \times 10^{-10} - 1.2 \times 10^{-10}) \)
• Which translates to 5.2 × 10^{-11 m}

Given the choices focus on whether a platelet has a bigger diameter than a red blood cell or vice versa, we find that:

• Red Blood Cell (1.52) is bigger than Hydrogen Atom (1.2)

Among the options "A red blood cell has a bigger diameter than a platelet by 5.17×10^−6 m." fits as the correct answer:

Final Comparison:

• A red blood cell has a bigger diameter than a platelet by \( 5.17 \times 10^{-6} , \text{m} \): A red blood cell has a bigger diameter than a platelet by ( 5.17 \times 10^{-6} , \text{m}.

Answer 8

China and India are the most populous countries in the world. China’s population is approximately 1.45×10^9 , while India’s population is approximately 1,400,000,000. How many more people live in China than in India?(1 point)

Answer 9

To find out how many more people live in China than in India, we first need to express both populations in the same format.

1. China's population: \[ 1.45 \times 10^9 \]

2. India's population: \[ 1,400,000,000 = 1.4 \times 10^9 \]

Now we can subtract India's population from China's population:

\[ 1.45 \times 10^9 - 1.4 \times 10^9 \]

This can be simplified as follows:

\[ = (1.45 - 1.4) \times 10^9 \]

Calculating the difference:

\[ 1.45 - 1.4 = 0.05 \]

Thus, we get:

\[ 0.05 \times 10^9 \]

To express this in proper scientific notation, we'll rewrite \(0.05\):

\[ 0.05 \times 10^9 = 5.0 \times 10^{-2} \times 10^9 = 5.0 \times 10^7 \]

Therefore, the difference in the populations is:

\[ \boxed{5.0 \times 10^7} \]

So, China has approximately \(50,000,000\) more people than India.