Solve the following and express the answer in scientific notation: (5.3 x 10^4) + (2.2 x 10^3)
A. 5.5 x 10^4
B. 7.5 x 10^3
C. 7.5 x 10^7
D. 11.7 x 10^7
I say A
correct.
To solve the given expression, we add the numbers with the same base (10).
5.3 x 10^4 + 2.2 x 10^3
First, let's add the decimal numbers: 5.3 + 2.2 = 7.5
Next, we maintain the base (10) and add the exponents: 10^4 + 10^3 = 10^7
So, the answer is 7.5 x 10^7.
Therefore, the correct option is C. 7.5 x 10^7.
To solve the expression (5.3 x 10^4) + (2.2 x 10^3) and express the answer in scientific notation, we need to add the two numbers and then convert the result into scientific notation.
First, let's add the numbers without considering the exponents:
5.3 x 10^4 + 2.2 x 10^3 = (5.3 + 0.22) x 10^4
Calculating the sum of the coefficients, we get:
5.52 x 10^4
Now, we have our sum in decimal notation. To convert it to scientific notation, we need to move the decimal point to the left to have a coefficient between 1 and 10 and adjust the exponent accordingly.
Moving the decimal point in 5.52 to the left by one position, we get:
5.52 x 10^3
Therefore, the correct answer expressed in scientific notation is option B: 7.5 x 10^3.