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Express the number apperaring in the fol...

Express the number apperaring in the following statements in standard form.
Diameter of the Earth is `1,27,56,00` m.

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To express the diameter of the Earth, which is given as `1,27,56,00` m, in standard form, we will follow these steps: ### Step 1: Write the number without commas The first step is to write the number without commas for clarity. The diameter of the Earth is: \[ 1275600 \, \text{m} \] ### Step 2: Identify the first significant digit The first significant digit in the number `1275600` is `1`. This is the digit we will use to start our standard form. ### Step 3: Place the decimal point Next, we place the decimal point right after the first significant digit: \[ 1.275600 \] ### Step 4: Count the number of places the decimal has moved Now, we need to count how many places we moved the decimal point from its original position (after the last zero) to its new position (after the `1`). The original number is `1275600`, and the decimal point has moved 6 places to the left. ### Step 5: Write the number in standard form In standard form, we express the number as: \[ 1.2756 \times 10^6 \, \text{m} \] This is because we moved the decimal point 6 places to the left, which corresponds to multiplying by \(10^6\). ### Final Answer Thus, the diameter of the Earth in standard form is: \[ 1.2756 \times 10^6 \, \text{m} \] ---
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-NCERT SECTION (EXERCISE 12.3)
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