Respuesta :
Answer:
Imagine an example to make it easier. . . I guess.
Step-by-step explanation:
For example:
Molly had 1 cookie.
Leo had 2 cookies.
Leo stole Molly's cookie.
How many cookies does Leo have now?
He has 3 cookies now.
Hope I helped :D
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Answer:
Some equations are easy to solve in your head. If the numbers are easy to work with, you just have to figure out what question you need to answer. For example, to solve x + 8 = 12, you have to determine what number can be added to 8 in order to have a sum of 12. In this case, x must be equal to 4.
Other equations, however, are much harder to solve using mental math. Equations that have lots of negative numbers, large numbers, fractions, or decimals can be difficult to solve in your head. That's why there is a system, called an algorithm, for solving these equations.
An algorithm is just a step-by-step process for solving problems. The algorithm for solving equations is based on a very important property called the property of equality, which says that whatever is done to one side of the equation must also be done to the other side.
The algorithm for solving equations has four steps:
Locate the variable.
Determine what operation is being done to the variable.
Do the inverse operation on both sides of the equation.
Check your solution using substitution.
Remember that the goal of solving an equation is to determine what value of the variable will make the sentence true. This means you need to find what the variable is equal to. That's why the first step, although it may seem easy, is so important. You need to start by locating the variable in the equation. Take a look at Ondi's equation from above:
n - 1.4 = 3.7
In this case, the variable is n, and it's on the left side of the equation. That was easy! Now for the second step. Remember that the goal is to figure out what the variable is equal to when it's by itself. So in the second step, you have to identify what is being done to the variable in the equation. If you look at the equation above, you can see that 1.4 is being subtracted from n. The second step is complete!
The third step is when you actually start working with the equation. You're going to do the opposite of what is already being done to the variable. For example, if a number is added, you're going to subtract. If a number is subtracted, you're going to add. This will help you get the variable by itself on one side of the equation. Then you'll know what the variable is equal to!
In the equation, 1.4 is being subtracted from n. So you're going to do the opposite and add 1.4. Remember that the property of equality says that if you do something to one side of the equation, you must do it to the other side as well. Take a look:
n - 1.4 + 1.4 = 3.7 + 1.4
Can you see what is going to happen on the left side of the equation? Subtracting 1.4 and adding 1.4 cancel each other out, leaving you with just n. That's because subtraction and addition are inverse operations, which means they undo each other.
So the left side of the equation simplifies to the variable n. What will happen on the right side? The constants 3.7 and 1.4 will combine to give you 5.1.
n = 5.1
The fourth and final step of the algorithm is to check the solution using substitution. Substitute the value of 5.1 in for n in the original equation to see if the sentence is true:
n - 1.4 = 3.7
5.1 - 1.4 = 3.7
3.7 = 3.7
Yes! This statement is true, so the solution is correct!
Step-by-step explanation:
Hope this helped you!
