Solve the Expression: 9×5×5+7-5+82-2 Using Order of Operations

9⋅5⋅5+7−5+82−2=? 9\cdot5\cdot5+7-5+82-2=\text{?}

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Step-by-step video solution

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00:08 Let's solve this expression together.
00:11 Remember, handle multiplication and division before doing addition and subtraction.
00:17 Take your time and solve each multiplication step one at a time.
00:29 Arrange the numbers to make the equation easier to solve.
00:40 First, do all the subtractions, then add everything together.
00:49 And that's how we find the solution!

Step-by-step written solution

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1

Understand the problem

9⋅5⋅5+7−5+82−2=? 9\cdot5\cdot5+7-5+82-2=\text{?}

2

Step-by-step solution

According to the rules for the order of operations, we will isolate the multiplication operations in parentheses:

(9⋅5⋅5)+7−5+82−2= (9\cdot5\cdot5)+7-5+82-2=

We solve the exercise in parentheses from left to right:

9×5=45 9\times5=45

45×5=225 45\times5=225

Now, we obtain the exercise:

225+7−5+82−2= 225+7-5+82-2=

We solve the exercise from left to right

225+7=232 225+7=232

232−5=227 232-5=227

227+82=309 227+82=309

309−2=307 309-2=307

3

Final Answer

307

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\( 8 + 3 \times 2 = \)

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