Question
Here is the question : IF X = 0, WHAT IS THE VALUE OF 10X(3X + 7X)?
Option
Here is the option for the question :
- 0
- 1
- 2
- 3
The Answer:
And, the answer for the the question is :
Explanation:
Even while it can look like a difficult problem to solve at first glance, you’ll find that it’s actually fairly simple. After substituting 0 for each x in the equation, the answer is once again found to be 0. This is due to the fact that the value 0 may be obtained by multiplying anything else by 0.
In mathematics, it is common to encounter algebraic expressions that involve variables and numerical coefficients. In order to evaluate such expressions, we need to have a clear understanding of the rules of algebra and the order of operations. In this case, we are given the expression 10x(3x + 7x) and asked to find its value when x equals 0.
To begin, we can substitute the value of x into the expression. Since x equals 0, any term that involves x can be replaced with 0. Therefore, we have:
10(0)(3(0) + 7(0))
Simplifying this expression, we can see that any term multiplied by 0 will result in 0. This means that the entire expression will evaluate to 0. Therefore, the value of 10x(3x + 7x) when x equals 0 is 0.
It is important to note that when working with algebraic expressions, we need to follow the order of operations in order to obtain the correct answer. The order of operations, also known as PEMDAS, stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In the expression 10x(3x + 7x), we first need to perform the multiplication of 10 and the expression inside the parentheses. This gives us:
10x(3x + 7x) = 10x(10x)
Next, we perform the multiplication of 10 and 10x, which gives us:
10x(10x) = 100x^2
However, when x equals 0, the entire expression becomes 0, as we saw earlier. This is because any term multiplied by 0 results in 0.
evaluating algebraic expressions involves following the rules of algebra and the order of operations. In this case, we were asked to find the value of 10x(3x + 7x) when x equals 0. By substituting 0 for x and simplifying the expression, we found that the value is 0. It is important to remember that any term multiplied by 0 will result in 0, and to follow the order of operations to obtain the correct answer.