What is the quotient of 6, point, 1, 1, 8, times, 10, to the power 86.118×10
8
and 8, point, 0, 5, times, 10, to the power 58.05×10
5
expressed in scientific notation?
To find the quotient of two numbers expressed in scientific notation, we need to divide the first number by the second number and adjust the exponent accordingly.
Given:
First number = 6.118 × 10^86
Second number = 8.05 × 10^58
To find the quotient, divide the numbers:
6.118 ÷ 8.05 = 0.759876963
To adjust the exponent, subtract the exponents:
10^86 ÷ 10^58 = 10^(86-58) = 10^28
So, the quotient expressed in scientific notation is:
0.759876963 × 10^28
To find the quotient of two numbers expressed in scientific notation, you need to divide the coefficients and subtract the exponents. Here's how you can calculate it:
Step 1: Calculate the quotient of the coefficients.
In your case, the coefficient of the dividend is 6.118 × 10^86, and the coefficient of the divisor is 8.05 × 10^58. To find the quotient of the coefficients, divide 6.118 by 8.05:
6.118 / 8.05 = 0.760497516
Step 2: Calculate the difference of the exponents.
To find the difference of the exponents, subtract the exponent of the divisor from the exponent of the dividend:
86 - 58 = 28
Step 3: Combine the results.
Now, express the quotient in scientific notation using the calculated coefficient and exponent:
0.760497516 × 10^28
So, the quotient of 6.118 × 10^86.118×10^8 and 8.05 × 10^58.05×10^5 expressed in scientific notation is 0.760497516 × 10^28.
To find the quotient, we divide the two numbers and express the result in scientific notation.
The first number is 6.118×10^86.
The second number is 8.05×10^58.
Dividing these numbers gives us: (6.118×10^86) / (8.05×10^58) = 0.7602 x 10^(86-58)
Simplifying the exponent gives us: 0.7602 x 10^28
Therefore, the quotient expressed in scientific notation is 0.7602 x 10^28.