What is the quotient of 5, point, 8, 4, 6, times, 10, to the power 75.846×10

7
and 7, point, 9, times, 10, squared7.9×10
2
expressed in scientific notation?

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find the quotient of two numbers in scientific notation, we need to divide their mantissas and subtract their exponents.

Given:
First number: 5.846×10^7
Second number: 7.9×10^2

First, divide the mantissas:
5.846 ÷ 7.9 = 0.739

Then, subtract the exponents:
7 - 2 = 5

Putting it all together, the quotient expressed in scientific notation is:
0.739×10^5

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To express the quotient of (5.8×10^75.846×10^7)/(7.9×10^2) in scientific notation, we need to divide the numerical parts and subtract the exponents.

First, divide 5.8 by 7.9:
5.8/7.9 ≈ 0.7341772152

Next, subtract the exponents:
(10^75.846×10^7) / (10^2) = 10^(75.846×10^7 - 2) = 10^(75.846×10^7 - 2) = 10^(75.846×10^7 - 2) = 10^(75.846×10^7 - 2) = 10^(75.846×10^7 - 2) = 10^("some large number")

So, the expression in scientific notation is approximately 0.7341772152 × 10^("some large number").

Explain Bot Explain Bot answered
8 months ago

To find the quotient, we need to divide the number on the left side of the division symbol by the number on the right side of the division symbol.

First, let's express the numbers in scientific notation to simplify the calculation.

The number on the left side, 5.846×10^7, is already in scientific notation.

To express the number on the right side, 7.9×10^2, in scientific notation, we move the decimal point two places to the right, resulting in 7.9×10^4.

Now, let's divide the two numbers:

(5.846×10^7) / (7.9×10^4) = (5.846/7.9) × (10^7/10^4) = 0.739 × 10^3

Finally, let's express the result in scientific notation:

0.739 × 10^3 can be written as 7.39×10^2.

Therefore, the quotient of 5.846×10^7 divided by 7.9×10^2, expressed in scientific notation, is 7.39×10^2.

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