9 answers
To calculate \( 6.25 \times 10^6 - 4.73 \times 10^6 \), we can factor out \( 10^6 \):
\[ (6.25 - 4.73) \times 10^6 \]
Now, perform the subtraction:
\[ 6.25 - 4.73 = 1.52 \]
Now, multiply by \( 10^6 \):
\[ 1.52 \times 10^6 \]
Since \( 1.52 \) is already in proper scientific notation, we can express the final answer as:
\[ \boxed{1.52 \times 10^6} \]
To find out how much farther Neptune is from Earth than Mars, we need to subtract the distance from Earth to Mars from the distance from Earth to Neptune.
Given:
To perform the subtraction, we should express both distances in terms of the same power of ten.
We can express \( 4.3514 \times 10^9 \) km as \( 4.3514 \times 10^9 \) km and convert \( 2.25 \times 10^8 \) km to the same power of ten:
\[ 2.25 \times 10^8 = 0.225 \times 10^9 \]
Now we can perform the subtraction:
\[ 4.3514 \times 10^9 - 0.225 \times 10^9 = (4.3514 - 0.225) \times 10^9 \]
Calculating the subtraction:
\[ 4.3514 - 0.225 = 4.1264 \]
Now, we can write the result in scientific notation:
\[ 4.1264 \times 10^9 \]
Therefore, the distance from Earth to Neptune is approximately:
\[ \boxed{4.1264 \times 10^9} \text{ km} \]
This result indicates how much farther Neptune is from Earth than Mars without rounding.
To find the difference between the high end and low end of the hair growth rate range, we will subtract the lower rate from the higher rate.
Given:
First, we can express both values in terms of the same exponent. The lower value \( 6.849 \times 10^{-4} \) cm/hour can be converted:
\[ 2.329 \times 10^{-2} = 2.329 \times 10^{-2} = 23.29 \times 10^{-3} ; \text{(changing to the same exponent)} = 0.2339 \times 10^{-1} ; \text{(factoring out 10)} \]
Now we express \( 6.849 \times 10^{-4} \) in the same form. In terms of \( 10^{-2} \):
\[ 6.849 \times 10^{-4} = 0.06849 \times 10^{-2} \]
Now we can perform the subtraction:
\[ 23.29 \times 10^{-3} - 0.06849 \times 10^{-2} \]
Now we need both values in \(10^{-2}\):
\[ 0.06849 \times 10^{-2} = 0.06849 \times 10^{-2} \]
Then perform the subtraction:
\[ 2.329 - 0.06849 = 2.26051 \]
This means the difference is:
\[ 2.26051 \times 10^{-2} \]
Therefore, the difference between the high end and the low end of the range is:
\[ \boxed{2.26051 \times 10^{-2}} \text{ cm/hour} \]
To calculate \( 0.078 - (5.2 \times 10^{-3}) \), we first need to express \( 0.078 \) in scientific notation.
The number \( 0.078 \) can be expressed as:
\[ 0.078 = 7.8 \times 10^{-2} \]
Now, we can rewrite the equation:
\[ 7.8 \times 10^{-2} - 5.2 \times 10^{-3} \]
Next, we need to express both terms with the same exponent. We can convert \( 5.2 \times 10^{-3} \) to the same power of ten as \( 10^{-2} \):
\[ 5.2 \times 10^{-3} = 0.052 \times 10^{-2} \]
Now the equation looks like this:
\[ 7.8 \times 10^{-2} - 0.052 \times 10^{-2} \]
Now, we can perform the subtraction:
\[ (7.8 - 0.052) \times 10^{-2} = 7.748 \times 10^{-2} \]
Now that we have our result, we express it in scientific notation:
\[ 7.748 \times 10^{-2} \]
Thus, the final answer is:
\[ \boxed{7.748 \times 10^{-2}} \]
I apologize for any confusion in my previous response. Let's carefully work through the calculation again.
We want to calculate:
\[ 0.078 - (5.2 \times 10^{-3}) \]
First, we convert \(0.078\) into scientific notation:
\[ 0.078 = 7.8 \times 10^{-2} \]
Now let's rewrite the expression:
\[ 7.8 \times 10^{-2} - 5.2 \times 10^{-3} \]
Next, we need to express both values with the same exponent to perform the subtraction. We can express \(5.2 \times 10^{-3}\) in terms of \(10^{-2}\):
\[ 5.2 \times 10^{-3} = 0.052 \times 10^{-2} \]
Now we can rewrite our subtraction:
\[ 7.8 \times 10^{-2} - 0.052 \times 10^{-2} \]
Now we can perform the subtraction:
\[ (7.8 - 0.052) \times 10^{-2} = 7.748 \times 10^{-2} \]
Thus, the result is:
\[ \boxed{7.748 \times 10^{-2}} \]
If this still appears incorrect, please provide clarification or additional context, and I'll gladly assist further!
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