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The mass of earth is approximately 7.97×10 24kilograms. The approximate mass of Venus is 417,000,000,000,000,000,000,000. About how many times greater is the mass of earth than the mass of Venus?

User Parnas
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1 Answer

2 votes

Answer:

19 47/417

Explanation:

7.97×10 24 = 7970000000000000000000000

Simplify the following:

7970000000000000000000000/417000000000000000000000

The gcd of 7970000000000000000000000 and 417000000000000000000000 is 1000000000000000000000, so 7970000000000000000000000/417000000000000000000000 = (1000000000000000000000×7970)/(1000000000000000000000×417) = 1000000000000000000000/1000000000000000000000×7970/417 = 7970/417:

Answer: 7970/417 conver to mixed fraction

Convert to a mixed number:

7970/417

Divide 7970 by 417:

417 | 7 | 9 | 7 | 0

417 goes into 797 one time. Multiply, subtract, then bring down the next digit:

| | | 1 | |

417 | 7 | 9 | 7 | 0 |

- | 4 | 1 | 7 | |

| 3 | 8 | 0 | 0 |

417 goes into 3800 nine times. Multiply and subtract:

| | | 1 | 9 |

417 | 7 | 9 | 7 | 0 |

- | 4 | 1 | 7 | |

| 3 | 8 | 0 | 0 |

- | 3 | 7 | 5 | 3 |

| | | 4 | 7 |

The quotient is 19 (the number on top of the bracket) and the remainder is 47 (the number at the bottom of the grid):

| | | 1 | 9 | (quotient)

417 | 7 | 9 | 7 | 0 |

- | 4 | 1 | 7 | |

| 3 | 8 | 0 | 0 |

- | 3 | 7 | 5 | 3 |

| | | 4 | 7 | (remainder) invisible comma

7970 = 19×417 + 47

The quotient of 7970/417 is 19 with remainder 47, so:

Answer: 19 47/417

User Matt Quigley
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