What is the value of the expression All of 2.8 multiplied by 10 to the power 7 over all of 1.4 multiplied by 10 to the power 3?
2.0 × 10^4
2.0 × 10^10
1.4 × 10^4
1.4 × 10^10
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
Online "^" is used to indicate an exponent, e.g., x^2 = x squared.
When multiplying/dividing numbers, the exponents are added/subtracted respectively.
(2.8*10^7)/(1.4*10^3) = ?
To find the value of the given expression, we need to perform the division operation and simplify the result. Here are the steps to follow:
1. Multiply the numerators (2.8 multiplied by 10 to the power of 7).
2.8 * 10^7 = 28 * 10^6 (2.8 can be simplified as 28 divided by 10, and we add the exponents)
2. Multiply the denominators (1.4 multiplied by 10 to the power of 3).
1.4 * 10^3 = 14 * 10^2 (1.4 can be simplified as 14 divided by 10, and we add the exponents)
3. Divide the numerator by the denominator.
(28 * 10^6) / (14 * 10^2) = 2 * 10^4 (divide 28 by 14, and subtract the exponents)
Thus, the value of the expression is 2.0 × 10^4.
So the correct answer is: 2.0 × 10^4