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How can you use inverse operations to check your answer to a decimal subtraction problem?
If you calculated x - y = z then calculate z + y. If the answer is x your calculation is fine. If not, one of the sums went wrong.
Explain why you can check subtraction by adding?
You can check subtraction by adding because subtraction is essentially the inverse operation of addition. When you subtract a number from another, the result should match the original number when you add the subtracted value back to the result. If the sum of the result and the subtracted number equals the original number, then the subtraction was performed correctly. This relationship between the two operations ensures accuracy in calculations.
Why are subtraction addition multiplication division called reciprocal or inverse operations?
The inverse operation of addition would be subtraction. The inverse operation of subtraction would be addition. The inverse operation of multiplication is division and the inverse operation of division is multiplication. It is called the inverse operation because you are reversing the equation. If you add, subtract, multiply, or divide the same number on each side of the equation, then the equation would still be true. As long as you are doing the same thing on BOTH side of the equation. The reciprocal is used for dividing fractions. All you have to do for finding the reciprocal of a fraction is flip the fraction. Ex: The reciprocal of 1/4 is 4. The reciprocal of 5/8 is 8/5. You can check by multiplying the two fractions. It will equal to one if you did it right. I hope this helped a little bit.
Why does the commutative and associative properties don't hold true for subtraction and division but the identity properties do?
Consider the main operations to be addition and multiplication. In that case, subtraction is defined in terms of addition, for example, a - b = a + (-b) (where the last "-b" refers to the additive inverse of b), while a / b = a times 1/b (where 1/b is the multiplicative inverse of b). Now, assuming that commutative, etc. properties hold for addition and multiplication, check what happens with a subtraction. That should clarify everything. For example: a - b = a + (-b) whereas: b - a = b + (-a) which happens NOT to be the same as a - b, but rather its additive inverse.
Why was division invented?
I think they invented it to do bigger mathscales, and to check multiplication because they are inverse operations.
Why can you use addition to check your answer to a subtraction problem?
You can use addition to check your answer to a subtraction problem because subtraction is the inverse operation of addition. If you subtract a number from another and then add that same number back to your result, you should arrive at the original number. This relationship confirms the accuracy of your subtraction result, ensuring that the calculations are correct. If the sum does not match the original number, then there was likely an error in the subtraction process.
How can you use inverse operations to check your answer to a decimal addition problem?
If you have calculated A + B = C then you can calculate C - A. If the answer is B then the first sum is correct.
How can i use inverse operations to check your answer?
If the problem is 6+8=14 you can subtract either 6 OR 8 from 14 and you will get the other answer .14-6=8
How do you check addition with division?
You don't. You can check addition with subtraction or subtraction with addition, since subtraction is the opposite of addition. Similary, you can check division with multiplication, or vice versa.
How can you solve problems involving equations that contain addition subtraction multiplication or division?
To solve problems involving equations with addition, subtraction, multiplication, or division, start by isolating the variable on one side of the equation. Use inverse operations to eliminate terms, such as adding or subtracting to remove constants and multiplying or dividing to eliminate coefficients. Simplify the equation step-by-step, ensuring to perform the same operation on both sides. Finally, check your solution by substituting the variable back into the original equation to verify its accuracy.
What are the directions when you have an equation?
When you have an equation, the first step is to isolate the variable on one side by performing inverse operations, such as addition, subtraction, multiplication, or division. Ensure to maintain the balance of the equation by applying the same operation to both sides. Simplify the equation as needed, combining like terms or reducing fractions to make it clearer. Finally, check your solution by substituting the variable back into the original equation to see if both sides are equal.
What type of addition is used to check addition?
Subtraction is used to check addition.
