What is the quotient of 2, point, 5, 3, 8, times, 10, to the power 92.538×10
9
and 2, point, 7, times, 10, squared2.7×10
2
expressed in scientific notation?
To find the quotient, we need to divide 2.5 × 10^92.538 × 10^9 by 2.7 × 10^2.
Dividing the numbers, we get 2.5 / 2.7 = 0.9259...
Subtracting the exponents, we get (10^92.538) / (10^2) = 10^(92.538-2) = 10^90.538.
Thus, the quotient in scientific notation is 0.9259 × 10^90.538.
To find the quotient of the numbers, we can divide the numerator by the denominator.
Numerator: 2.5 × 3.8 × 10^92.538 × 10^9
Denominator: 2.7 × 10^2
When dividing numbers in scientific notation, we subtract the exponents and divide the coefficients.
Numerator coefficient: 2.5 × 3.8 × 10^92.538
Denominator coefficient: 2.7
Numerator exponent: 9 + 92.538 = 101.538
Now we can calculate the quotient:
Coefficient: (2.5 × 3.8 × 10^92.538) / 2.7
Exponent: 101.538 - 2
The quotient expressed in scientific notation is approximately:
2.5 × 3.8 × 10^92.538 / 2.7 ≈ 3.5185185 × 10^99.538.
To find the quotient of two numbers expressed in scientific notation, you need to divide their coefficients and subtract their exponents. Here's how you can find the quotient:
Step 1: Convert the given numbers into scientific notation if they are not already.
2.53 × 10^8 (numerator) and 2.7 × 10^2 (denominator)
Step 2: Divide the coefficients of the numerator and denominator.
Coefficient of numerator = 2.53
Coefficient of denominator = 2.7
Dividing 2.53 by 2.7 gives approximately 0.937407.
Step 3: Subtract the exponents of the numerator and denominator.
Exponent of numerator = 8
Exponent of denominator = 2
Subtracting 2 from 8 gives 6.
Step 4: Express the quotient in scientific notation.
The quotient is approximately 0.937407 × 10^6.
Therefore, the quotient of 2.53 × 10^8 divided by 2.7 × 10^2 expressed in scientific notation is approximately 0.937407 × 10^6.