What is the quotient of 7.536 × 10^7 and 7.85 × 10^2 expressed in scientific notation?
First, we divide 7.536 by 7.85 to get 0.960. When we divide 10^7 by 10^2, we subtract the exponents to get 10^5. So, the quotient is 0.960 × 10^5, which can be expressed in scientific notation as 9.60 × 10^4. Answer: \boxed{9.60 \times 10^4}.
To find the quotient of 7.536 × 10^7 and 7.85 × 10^2 in scientific notation, you need to divide the numbers and subtract the exponents.
Step 1: Divide the numbers: 7.536 ÷ 7.85 = 0.960
Step 2: Subtract the exponents: 7 - 2 = 5
Step 3: Express the result in scientific notation: 0.960 × 10^5
Therefore, the quotient of 7.536 × 10^7 and 7.85 × 10^2 expressed in scientific notation is 0.960 × 10^5.
To find the quotient of two numbers expressed in scientific notation, you can follow these steps:
Step 1: Divide the coefficients (the numbers before the multiplication symbol) of the two numbers.
In this case, divide 7.536 by 7.85:
7.536 ÷ 7.85 = 0.959 ...
Step 2: Divide the exponents (the numbers after the multiplication symbol) of the two numbers.
In this case, subtract the exponent of 10 of the denominator from the exponent of 10 of the numerator:
7 × 10^7 ÷ (7.85 × 10^2) = 10^(7 - 2)
Step 3: Simplify the result obtained in Step 1 and Step 2 and express it in scientific notation.
0.959 ... can be expressed as 9.59 × 10^(-1).
Thus, the quotient of 7.536 × 10^7 and 7.85 × 10^2 expressed in scientific notation is 9.59 × 10^(-1).