8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    Weight of moon is \[(7.346\times {{10}^{22}})kg\] and weight of Earth is \[\text{5,9724}\times \text{1}{{\text{0}}^{\text{24}}}\text{ 7 kg}\]. What is the total weight of both in standard form?

    A)  \[\text{6}\text{.04}\times \text{1}{{\text{0}}^{\text{24}}}\text{kg}\]      

    B)  \[\text{7}\text{.08}\times \text{1}{{\text{0}}^{\text{22}}}\text{kg}\]

    C)         \[\text{5}\text{.98}\times \text{1}{{\text{0}}^{24}}\text{kg}\]

    D)         \[\text{6}\text{.44}\times \text{1}{{\text{0}}^{\text{24}}}\text{ kg}\]

    Correct Answer: A

    Solution :

    Weight of moon \[=(7.346\times {{10}^{22}})kg\] Weight of Earth \[=(5.9724\times {{10}^{24}})kg\] Total weight\[=7.346\times {{10}^{22}}+5.9724\times {{10}^{24}}\] \[=0.07346\times {{10}^{24}}+5.9724\times {{10}^{24}}\] \[=(0.07346+5.9724)\times {{10}^{24}}\] \[=6.04586\times {{10}^{24}}kg\]


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