If the diamater of the sun and the earth are 1.48 × 10⁹ meters and 1.275 × 10⁷ meters respectively, compare these two.
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This is the question of class 8th chapter exponets and powers...
I am getting the answer of the above question i.e 120 I want to check whether the answer is 120 or 110.
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Answers & Comments
Answer:
this answer may be helpful for you
Step-by-step explanation:
Certainly, let's compare the diameters of the Sun and Earth using the provided values.
\[ \text{Ratio} = \frac{\text{Diameter of Sun}}{\text{Diameter of Earth}} \]
Substitute the given values:
\[ \text{Ratio} = \frac{1.48 \times 10^9}{1.275 \times 10^7} \]
Now, simplify the expression:
\[ \text{Ratio} = \frac{1.48}{1.275} \times 10^{9-7} \]
Calculate the numerical part of the ratio:
\[ \frac{1.48}{1.275} \approx 1.160784 \]
So, the ratio is approximately 1.160784 times. Therefore, the diameter of the Sun is roughly 1.16 times larger than the diameter of the Earth. It seems like the answer is closer to 110 than 120.
Answer:
To compare the sizes of the Sun and the Earth based on their diameters, you can calculate the ratio of their diameters.
The formula for the ratio (\(R\)) is given by:
\[ R = \frac{\text{Diameter of the Sun}}{\text{Diameter of the Earth}} \]
Given the diameters:
- Diameter of the Sun (\(D_{\text{Sun}}\) ) = \(1.48 \times 10^9\) meters
- Diameter of the Earth (\(D_{\text{Earth}}\) ) = \(1.275 \times 10^7\) meters
Now, substitute these values into the formula:
\[ R = \frac{1.48 \times 10^9}{1.275 \times 10^7} \]
Simplify the expression:
\[ R \approx \frac{1.48 \times 10^{9 - 7}}{1.275} \]
\[ R \approx \frac{1.48 \times 10^2}{1.275} \]
\[ R \approx \frac{148}{1.275} \]
Now, divide to get the ratio:
\[ R \approx 116.08 \]
Therefore, the ratio of the diameter of the Sun to the diameter of the Earth is approximately 116.08. This indicates that the diameter of the Sun is about 116 times larger than the diameter of the Earth.
Step-by-step explanation: