Math  /  Numbers & Operations

QuestionThe volume of Saturn is about 8.27×10148.27 \times 10^{14} cubic kilometers. The volume of Earth is about 1.09×10121.09 \times 10^{12} cubic kilometers. number of Earths that can fit inside Saturn can be found by dividing Saturn's volume by Earth's volume. Find this quotient express the answer in scientific notation. 7.59×1027.59 \times 10^{2} 75.9×10175.9 \times 10^{1} 9.01×10269.01 \times 10^{26} 759

Studdy Solution

STEP 1

1. The volume of Saturn is 8.27×10148.27 \times 10^{14} cubic kilometers.
2. The volume of Earth is 1.09×10121.09 \times 10^{12} cubic kilometers.
3. We need to find how many Earths can fit inside Saturn by dividing the volume of Saturn by the volume of Earth.
4. The answer should be expressed in scientific notation.

STEP 2

1. Set up the division problem.
2. Divide the coefficients.
3. Subtract the exponents.
4. Express the result in scientific notation.

STEP 3

Set up the division of Saturn's volume by Earth's volume:
8.27×10141.09×1012\frac{8.27 \times 10^{14}}{1.09 \times 10^{12}}

STEP 4

Divide the coefficients 8.278.27 by 1.091.09:
8.271.097.59\frac{8.27}{1.09} \approx 7.59

STEP 5

Subtract the exponents of 1010:
1014÷1012=101412=10210^{14} \div 10^{12} = 10^{14-12} = 10^{2}

STEP 6

Combine the results from Step 2 and Step 3 to express in scientific notation:
7.59×1027.59 \times 10^{2}
The number of Earths that can fit inside Saturn is:
7.59×102\boxed{7.59 \times 10^{2}}

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