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Question
- each planets distance from earth varies. place the planets in order from least to greatest.
mercury: $9.17\times10^{5}$
saturn: $1.25\times10^{7}$
neptune: $4.3\times10^{6}$
jupiter: $6.2444\times10^{5}$
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Step1: Compare exponents
We have numbers in scientific - notation. First, compare the exponents of 10. Mercury: $9.17\times10^{5}$, Saturn: $1.25\times10^{7}$, Neptune: $4.3\times10^{6}$, Jupiter: $6.2444\times10^{5}$. The exponents are 5, 7, 6, 5. Smaller exponents mean smaller numbers when the coefficients are positive.
Step2: Compare numbers with same exponents
For Mercury ($9.17\times10^{5}$) and Jupiter ($6.2444\times10^{5}$), since the exponents are the same, we compare the coefficients. $6.2444<9.17$.
Step3: Order the numbers
The order from least to greatest is: Jupiter ($6.2444\times10^{5}$), Mercury ($9.17\times10^{5}$), Neptune ($4.3\times10^{6}$), Saturn ($1.25\times10^{7}$).
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- Jupiter: $6.2444\times10^{5}$
- Mercury: $9.17\times10^{5}$
- Neptune: $4.3\times10^{6}$
- Saturn: $1.25\times10^{7}$