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The mass of Earth is .a When you write this mass in full, how many zeros does it have?b The mass of Mars is approximately of the mass of Earth. Write the mass of Mars in standard form.
Full solution
Q. The mass of Earth is .a When you write this mass in full, how many zeros does it have?b The mass of Mars is approximately of the mass of Earth. Write the mass of Mars in standard form.
- Count Zeros for Full: To write kg in full, count the number of zeros needed to express the number without exponential notation.
- Move Decimal Places: The number has two digits after the decimal, so we move the decimal places to the right, adding zeros as needed.
- Add Zeros as Needed: After moving the decimal point, we have followed by zeros (since we already have digits from ), and then at the end.
- Full Written Mass: So, the full written mass of Earth has zeros.
- Find Mars Mass: Now, to find the mass of Mars, which is of Earth's mass, we divide Earth's mass by .
- Divide by : Dividing by is the same as subtracting from the exponent of .
- Mass of Mars: The mass of Mars is therefore kg in standard form.
