What is the quotient of 2.538 x 10^9 and 2.7 x 10^2 expressed in scientific notation?
To find the quotient of 2.538 x 10^9 and 2.7 x 10^2, we must divide the two numbers. This gives us:
2.538 x 10^9 ÷ 2.7 x 10^2 = (2.538 ÷ 2.7) x (10^9 ÷ 10^2)
Simplifying the division gives us:
0.93888888889 x 10^(9-2) = 0.93888888889 x 10^7
Converting the number to scientific notation gives us:
9.3888888889 x 10^6
To find the quotient of two numbers in scientific notation, we divide their base numbers and subtract their exponents.
Given:
Number 1: 2.538 x 10^9
Number 2: 2.7 x 10^2
Dividing the base numbers: 2.538 ÷ 2.7 = 0.9388888888888889
Subtracting the exponents: 10^9 ÷ 10^2 = 10^7
So, the quotient is 0.9388888888888889 x 10^7.
To find the quotient of 2.538 x 10^9 and 2.7 x 10^2 expressed in scientific notation, we need to divide the two numbers.
Step 1: Divide the coefficients (the numbers outside of the exponential notation):
2.538 ÷ 2.7 = 0.939
Step 2: Subtract the exponents:
10^9 ÷ 10^2 = 10^(9-2) = 10^7
Step 3: Combine the quotient from Step 1 and the exponent from Step 2:
0.939 x 10^7
Therefore, the quotient of 2.538 x 10^9 and 2.7 x 10^2 expressed in scientific notation is 0.939 x 10^7.