Calculate 6.25×106−4.73×106

Question

. Express your answer in scientific notation to 2 decimal places. (1 point)

it is not 1.52 × 106

Answer 1

To solve \( 6.25 \times 10^6 - 4.73 \times 10^6 \), we first factor out the common \( 10^6 \):

\[ (6.25 - 4.73) \times 10^6 \]

Now, we calculate \( 6.25 - 4.73 \):

\[ 6.25 - 4.73 = 1.52 \]

So we have:

\[ 1.52 \times 10^6 \]

This is already in scientific notation. Since we need to express it to 2 decimal places, we can keep it as is:

\[ \text{Final answer: } 1.52 \times 10^6 \]

If you believe this is incorrect, please provide clarification or context to help identify any potential miscalculation or misunderstanding.

Answer 2

The average distance from Earth to Mars is 2.25×108
km, and the distance from Earth to Neptune is 4.3514×109
km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer.(1 point)
km

Answer 3

To find out how much farther Neptune is from Earth compared to Mars, we will subtract the distance from Earth to Mars from the distance from Earth to Neptune.

Given:

• Distance from Earth to Mars: \( 2.25 \times 10^8 \) km
• Distance from Earth to Neptune: \( 4.3514 \times 10^9 \) km

We need to perform the subtraction:

\[ 4.3514 \times 10^9 - 2.25 \times 10^8 \]

First, we need to express the distances with the same exponent for convenience. We'll convert \( 2.25 \times 10^8 \) into a form with \( 10^9 \):

\[ 2.25 \times 10^8 = 0.225 \times 10^9 \]

Now we can perform the subtraction:

\[ 4.3514 \times 10^9 - 0.225 \times 10^9 = (4.3514 - 0.225) \times 10^9 \]

Calculating \( 4.3514 - 0.225 \):

\[ 4.3514 - 0.225 = 4.1264 \]

Thus, the difference is:

\[ 4.1264 \times 10^9 \]

The final answer is:

\[ \text{Distance from Earth to Neptune minus distance from Earth to Mars: } 4.1264 \times 10^9 \text{ km} \]

Answer 4

Human hair grows at a rate of about 6.849×10−4
cm per hour to 2.329×10−2
cm per hour. The rate depends on gender, genetics, age, and health. Find the difference between the high end and the low end of the range. Express your answer in scientific notation. Do not round your answer.(1 point)
cm per hour

Answer 5

To find the difference between the high end and the low end of the range for hair growth rates, we will subtract the lower growth rate from the higher growth rate.

Given:

• Low end: \( 6.849 \times 10^{-4} \) cm per hour
• High end: \( 2.329 \times 10^{-2} \) cm per hour

We need to perform the subtraction:

\[ 2.329 \times 10^{-2} - 6.849 \times 10^{-4} \]

First, we need to express both numbers with the same exponent for convenience. Let's convert \( 2.329 \times 10^{-2} \) to a form with \( 10^{-4} \):

\[ 2.329 \times 10^{-2} = 23.29 \times 10^{-4} \]

Now we can perform the subtraction:

\[ 23.29 \times 10^{-4} - 6.849 \times 10^{-4} = (23.29 - 6.849) \times 10^{-4} \]

Calculating \( 23.29 - 6.849 \):

\[ 23.29 - 6.849 = 16.441 \]

Thus, the difference is:

\[ 16.441 \times 10^{-4} \]

Now, we should express \( 16.441 \times 10^{-4} \) in proper scientific notation:

\[ 1.6441 \times 10^{-3} \]

Thus, the final answer is:

\[ \text{Difference between the high end and the low end of the range: } 1.6441 \times 10^{-3} \text{ cm per hour} \]

Answer 6

that is wrong

Answer 7

Let's carefully redo the calculations step by step to find the difference between the high end and the low end of the hair growth rates.

Given:

• Low end: \( 6.849 \times 10^{-4} \) cm per hour
• High end: \( 2.329 \times 10^{-2} \) cm per hour

Step 1: Convert both rates to the same exponent.

The high end \( 2.329 \times 10^{-2} \) can be expressed with \( 10^{-4} \):

\[ 2.329 \times 10^{-2} = 23.29 \times 10^{-4} \]

Step 2: Set up the subtraction.

Now we subtract the low end from the high end, both expressed in terms of \( 10^{-4} \):

\[ 23.29 \times 10^{-4} - 6.849 \times 10^{-4} \]

Step 3: Perform the subtraction.

\[ 23.29 - 6.849 = 16.441 \]

So we have:

\[ 16.441 \times 10^{-4} \]

Step 4: Express \( 16.441 \times 10^{-4} \) in proper scientific notation.

To convert \( 16.441 \times 10^{-4} \) to scientific notation, we move the decimal point one place to the left, which increases the exponent by 1:

\[ 1.6441 \times 10^{-3} \]

Final Answer

Thus, the correct answer for the difference between the high end and the low end of the range, expressed in scientific notation, is:

\[ \mathbf{1.6441 \times 10^{-3}} \text{ cm per hour} \]

If this answer is still not what you anticipated, please let me know how I can further assist!

Answer 8

YOU SAID THE SAME THING THAT IS WRONG!!

Answer 9

I apologize for any confusion. Let's ensure we perform the calculations step-by-step accurately.

Given:

• Low end: \( 6.849 \times 10^{-4} \) cm per hour
• High end: \( 2.329 \times 10^{-2} \) cm per hour

Step 1: Express both numbers in the same exponent

Let's convert both numbers to the same power of ten for easier subtraction. Since \( 10^{-2} \) is a higher exponent than \( 10^{-4} \), it’s better to convert \( 2.329 \times 10^{-2} \) into \( 10^{-4} \):

High end: \[ 2.329 \times 10^{-2} = 2.329 \times 10^{-2} \times \frac{100}{100} = 232.9 \times 10^{-4} \]

Now we can perform the subtraction:

Step 2: Perform the subtraction

Now let's subtract: \[ 232.9 \times 10^{-4} - 6.849 \times 10^{-4} = (232.9 - 6.849) \times 10^{-4} \]

Step 3: Calculate the difference

Calculating the numerical difference: \[ 232.9 - 6.849 = 226.051 \]

So, we have: \[ 226.051 \times 10^{-4} \]

Step 4: Convert to scientific notation

Now, to express \( 226.051 \times 10^{-4} \) in proper scientific notation, we convert it as follows: \[ 226.051 \times 10^{-4} = 2.26051 \times 10^{-2} \]

Final Answer

Thus, the correct answer in scientific notation for the difference between the high end and low end of the growth rates is: \[ \mathbf{2.26051 \times 10^{-2}} \text{ cm per hour} \]

Thank you for your patience, and I appreciate your understanding as we clarified the calculations.

Answer 10

Find 0.078−(5.2×10−3)
. Express your answer in scientific notation. Do not round your answer.(1 point)

Answer 11

To solve the expression \( 0.078 - (5.2 \times 10^{-3}) \), we can first convert \( 0.078 \) into scientific notation for easier subtraction.

Step 1: Convert \( 0.078 \) to scientific notation

\[ 0.078 = 7.8 \times 10^{-2} \]

Step 2: Rewrite the expression

Now we can rewrite the expression:

\[ 7.8 \times 10^{-2} - 5.2 \times 10^{-3} \]

Step 3: Convert \( 5.2 \times 10^{-3} \) to the same exponent

Next, we need to express \( 5.2 \times 10^{-3} \) using \( 10^{-2} \):

\[ 5.2 \times 10^{-3} = 0.052 \times 10^{-2} \]

Step 4: Set up the subtraction

Now we can perform the subtraction:

\[ 7.8 \times 10^{-2} - 0.052 \times 10^{-2} = (7.8 - 0.052) \times 10^{-2} \]

Step 5: Calculate the difference

Now, we calculate:

\[ 7.8 - 0.052 = 7.748 \]

Step 6: Write in scientific notation

Now the result is:

\[ 7.748 \times 10^{-2} \]

Final Answer

Thus, the answer is:

\[ \boxed{7.748 \times 10^{-2}} \]