The order of operations is important to follow when solving mathematical expressions like 10 -10 × 10 + 10. The order of operations is commonly represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication, Division, and Addition and Subtraction. Using this acronym, we can work through the expression as follows:

10 – (10×10) + 10 = 10 – 100 + 10 (using PEMDAS, we start with the parentheses, so we multiply 10 by 10 first) = -90 + 10 (now we subtract 100 from 10) = 0 (finally we add 10)

So the final answer to the equation is 0.

## Performance systems (BODMAS and PEMDAS)

### BODMAS

BODMAS Stands for Bracket, Of, Division, Multiplication, Addition, Subtraction.

### PEDMAS

PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Both BODMAS and PEMDAS have the same meaning and the order of operations is the same, it is just the acronym that is different.

The order of operations is important because it ensures that mathematical expressions are evaluated in the correct order, giving the correct result. Without following the order of operations, an expression could be evaluated in a way that gives a completely different answer.

For example, consider the expression: 2 + 3 x 4. If you do not follow the order of operations, you might be tempted to add 2 and 3 first, and then multiply the result by 4. But using the order of operations, you would first multiply 3 by 4, and then add 2 to the result, which gives the correct answer of 14.

## Another Answer of 10 – 10 x 10 + 10?

First of all, we start with multiplication, which is:-

-10 x 10 = -100

Remember that we need to shift the negative sign to the second 10, so now we have,

**10 – 100 + 10**

Note that negatively affects 100 here not 10 because in arithmetic, signs such as plus, divide, and minus are attached to the number from the left not right.

Moreover, we omit it entirely because there is no dichotomy in the question. If we classify the performance according to **BODMAS**, it looks like this:

10+10-100=?

20-100=?

-80=?

**Answer= -80.** Use the number line to do your subtraction.

What is the answer to **10-10×10+10= equals?** is **-80** see solving below:

10-10×10+10=?

10-100+10=?

10+10-100=?

20-100=?

-80=?.

This means the answer is -80. Confirm it with your calculator.

**What is the Answer to these Equations?**

- 10 -10 × 10 + 10=?
- 20 -20 × 20 + 20=?
- 30 -30 × 30 + 30=?
- 40 -40 × 40 + 40=?

**What is the answer to this equation?**

- 10 -10 × 10 + 10=
- 10 -10 × 10 -10=0
- 10 ×10 -10 × 10+ 10=0
- 10 -10 × 10 + 10=?
- 300 (10 is the same as -1, but 10 × 10 is still a lot)
- 30 (because 10 -9 × 10 + 10 = 0, then 10 -10 × 10 = -10 × -10 + 0)
- 19 (take the first and last digits to get 1 and 9, then add them to get 9 + 1 = 10, so multiply both sides by ten to get 19)
- 10 × 10 + 10 = 100
- 10 + (10 × 10) = 100).

## USING PEMDAS for 10 -10 × 10 + 10 = ?

- First, we would evaluate any exponents, there are none in this case.
- Next, we would evaluate any multiplication and division from left to right. In this case, we have 10 × 10 = 100.
- Then, we would evaluate any addition and subtraction from left to right. In this case, we have 10 – 100 = -90 and -90 + 10 = 0

So, the final answer of the expression 10 – 10 × 10 + 10 is 0.

## USING BODMAS 10 -10 × 10 + 10 = ?

Using BODMAS, we would evaluate the mathematical expression 10 – (10 x 10) + 10 as follows:

- First, we would evaluate the expression inside the brackets, so 10 x 10 = 100.
- Then, we would perform the subtraction, so 10 – 100 = -90
- Finally, we would perform the addition, so -90 + 10 = 0

So, the final answer of the expression 10 – (10 x 10) + 10 is 0.

It’s important to note that this order of operations is a guide, and the context of the problem may require a different order.

### Why BODMAS is wrong?

Here are a few examples of how BODMAS can be used to evaluate mathematical expressions:

- Example: (3 + 2) x 4 Solution: Using BODMAS, we first evaluate the expression inside the brackets, so 3 + 2 = 5. Then we multiply 5 by 4, which gives the final answer of 20.
- Example: 20 ÷ (4 + 2) x 3 Solution: Using BODMAS, we first evaluate the expression inside the brackets, so 4 + 2 = 6. Then we divide 20 by 6, which gives 3.3. Then we multiply 3.3 by 3, which gives the final answer of 9.9
- Example: (10 + 5) x 2 – (8 ÷ 4) Solution: Using BODMAS, we first evaluate the expression inside the brackets, so 10 + 5 = 15 and 8 ÷ 4 = 2. Then we multiply 15 by 2, which gives 30. Then we subtract 2 from 30, which gives the final answer of 28.