What is the quotation of the following expression?
(5.6 x 10^2) divided by ( 1.4 x 10^-6) (1 point)
4 x 10^10
4 x 10^8
4 x 10^7
4 x 10^9
Explain why
The quotation of the given expression (5.6 x 10^2) divided by (1.4 x 10^-6) is 4 x 10^8.
To obtain this result, we can use the rules of dividing numbers in scientific notation. When dividing two numbers in scientific notation, divide the coefficients and subtract the exponents of the powers of 10.
In this case, we have:
(5.6 x 10^2) ÷ (1.4 x 10^-6)
Dividing the coefficients 5.6 ÷ 1.4 gives us 4.
Subtracting the exponents 2 - (-6) gives us 2 + 6, which equals 8.
Therefore, the final result is 4 x 10^8.
To find the quotient of the given expression, we can divide the numbers and subtract the exponents of the powers of 10.
First, perform the division of the numbers:
(5.6 x 10^2) / (1.4 x 10^-6)
To divide these two numbers, divide the coefficients (5.6 / 1.4) and subtract the exponents (2 - (-6)).
The division of the coefficients is 4.
The subtraction of the exponents is 2 + 6 = 8.
So, the quotient becomes 4 x 10^8.
Therefore, the correct answer is 4 x 10^8.
To determine the quotient of the given expression, follow these steps:
Step 1: Divide the numerical values:
(5.6 ÷ 1.4) = 4
Step 2: Divide the exponents:
(10^2 ÷ 10^-6) = 10^(2-(-6)) = 10^8
Step 3: Combine the numerical and exponential results:
The final answer is 4 x 10^8.
Explanation:
When dividing numbers expressed in scientific notation, you divide the coefficients and subtract the exponents.
In this case, 5.6 divided by 1.4 is equal to 4, and dividing 10^2 by 10^-6 is equal to 10^(2-(-6)) or 10^8.
Combining the results, the quotient of the expression is 4 x 10^8.