What is 5+3-2+10×2-10 =?: The mathematical expression to evaluate is 5 + 3 – 2 + 10 × 2 – 10.

This is a combination of addition, subtraction, and multiplication operations. Each number (5, 3, 2, 10) represents a value involved in these operations.

The expression as a whole represents an equation that can simplified by adequately using the order of operations.

By evaluating this expression, we can determine this equation’s final value or result.

## What is 5+3-2+10×2-10 =?- Order of operations

### 1. Order in which mathematical operations should be performed

Mathematical operations should performed to ensure the final result is accurate and consistent. This order of operations often abbreviated as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

**Parentheses**: Any operations inside parentheses should be performed first. If there are nested parentheses, work from the inside out.**Exponents**: Next, any exponents (or powers) should evaluate. An exponent is a value that indicates how many times a number should be multiplied by itself.**Multiplication and Division**: After parentheses and exponents have been evaluated, any multiplication or division operations should be performed from left to right.**Addition and Subtraction**: Any addition or subtraction operations should be performed from left to right.

It is vital to follow this order of operations to avoid confusion and ensure that the result is always the same, regardless of who performs the calculations.

### PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) as a tool for remembering the order of operations

PEMDAS is an acronym for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. It is a helpful tool for remembering the order in which mathematical operations should be performed.

The acronym PEMDAS can be broken down as follows:

**Parentheses**: Any operations within parentheses should be evaluated first. Parentheses are used to group parts of an expression that should be considered together.**Exponents**: Next, any exponents (or powers) should be evaluated. Exponents indicate how many times a number should be multiplied by itself.**Multiplication and Division**: After parentheses and exponents have been evaluated, any multiplication or division operations should be performed from left to right.**Addition and Subtraction**: Any addition or subtraction operations should be performed from left to right.

By remembering the order of operations using the acronym PEMDAS, you can avoid confusion and ensure that your calculations are always accurate and consistent. It is a helpful tool for solving mathematical expressions, particularly those that involve multiple operations.

## III.What is 5+3-2+10×2-10 =?- Evaluation of the expression

### Step-by-step evaluation of the expression according to the order of operations

Using the PEMDAS acronym, we can evaluate the expression step-by-step in the following order:

**Parentheses**: There are no parentheses in the expression.**Exponents**: There are no exponents in the expression.**Multiplication and Division**: There is multiplication in the expression, so we evaluate that first.

5 + 3 – 2 + 10 × 2 – 10 = 5 + 3 – 2 + 20 – 10 (Multiplication of 10 and 2)

Next, there is no division operation, so we move on to the next step.

- Addition and Subtraction: Finally, we evaluate the addition and subtraction operations from left to right.

5 + 3 – 2 + 20 – 10 = 8 – 2 + 20 – 10 (Addition of 5 and 3) = 6 + 20 – 10 (Subtraction of 2 from 8) = 16 (Addition of 6 and 20, followed by subtraction of 10)

Therefore, the final answer to the expression 5 + 3 – 2 + 10 × 2 – 10 is 16.

### Explanation of how each operation is performed

here is an explanation of how each operation is performed in the expression 5 + 3 – 2 + 10 × 2 – 10:

**Multiplication**: The expression involves multiplication, which combines two or more numbers to get their product. In this case, the numbers 10 and 2 are multiplied, which gives the result of 20. So, 10 × 2 equals 20.**Addition**: The expression involves addition, which is the operation of combining two or more numbers to get their sum. In this case, the numbers 5 and 3 are added first, which gives the result of 8. So, 5 + 3 equals 8.**Subtraction**: The expression also involves subtraction, which is the operation of taking one number away from another. In this case, the number 2 is subtracted from 8, which gives the result of 6. So, 8 – 2 equals 6.**Addition (again**): The expression involves addition again, which is the operation of combining two or more numbers to get their sum. In this case, the numbers 6 and 20 are added, giving the result of 26. So, 6 + 20 equals 26.**Subtraction (again)**: The expression also involves subtraction again, which is the operation of taking one number away from another. In this case, the number 10 is subtracted from 26, giving the final result of 16. So, 26 – 10 equals 16.

By following the order of operations (PEMDAS) and performing each operation correctly, we get the final result of 16.

## Conclusion

### 1. The final answer and its significance

The definitive answer to the expression 5 + 3 – 2 + 10 × 2 – 10 is 16.

This means that after performing the mathematical operations in the correct order, the expression simplifies to the value of 16.

The significance of this result is that it represents the solution to the problem posed by the original expression.

In other words, if we were given this expression as part of a more significant problem, we would use the final value of 16 to continue solving the problem.

Additionally, this result is significant because it shows us the importance of following the order of operations when performing mathematical calculations to ensure our results’ accuracy and consistency.

### 2. Recap of the importance of following the order of operations in solving mathematical expressions

Following the order of operations is essential in solving mathematical expressions because it ensures that the calculations are done consistently and accurately.

The order of operations is a set of rules that tells us which operation to perform first and last when we have a mathematical expression with multiple operations.

This rule set is called PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

By following these rules, we ensure that we perform the calculations in the correct order and obtain the right result.

Failing to follow the order of operations can lead to incorrect results, which can be misleading or even harmful in certain situations.

Therefore, it is essential always to remember and apply the order of operations when solving mathematical expressions to ensure our results are accurate and consistent.

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