Answer :
Let's go through the expression step-by-step to simplify it.
First, deal with the operations one at a time.
Step 1: Simplify Subtractions and Parentheses
Start with the expression:
[tex]250000 - 30000 - 10000[/tex]
This simplifies to:
[tex]250000 - 40000[/tex]
Subtracting [tex]40000[/tex] from [tex]250000[/tex]:
[tex]250000 - 40000 = 210000[/tex]
Next, the expression:
[tex]250000 - (30000 - 10000)[/tex]
Within the parentheses first:
[tex]30000 - 10000 = 20000[/tex]
Then, subtract [tex]20000[/tex] from [tex]250000[/tex]:
[tex]250000 - 20000 = 230000[/tex]
Finally, the expression:
[tex]250000 - (30000 + 10000)[/tex]
Within the parentheses add:
[tex]30000 + 10000 = 40000[/tex]
Then, subtract [tex]40000[/tex] from [tex]250000[/tex]:
[tex]250000 - 40000 = 210000[/tex]
Step 2: Simplify the Remaining Expression
Look at the last part:
[tex]15000 + 35000 \times 20[/tex]
According to the order of operations, we perform multiplication before addition. So first calculate:
[tex]35000 \times 20 = 700000[/tex]
Now add [tex]15000[/tex] to [tex]700000[/tex]:
[tex]15000 + 700000 = 715000[/tex]
Now consider the expression:
[tex]20 \times 15000 + 35000[/tex]
First calculate the multiplication:
[tex]20 \times 15000 = 300000[/tex]
Then add [tex]35000[/tex]:
[tex]300000 + 35000 = 335000[/tex]
Conclusion
After properly simplifying each segment of the mathematical expression, the solutions are as follows:
- [tex]250000 - 30000 - 10000 = 210000[/tex]
- [tex]250000 - (30000 - 10000) = 230000[/tex]
- [tex]250000 - (30000 + 10000) = 210000[/tex]
- [tex]15000 + 35000 \times 20 = 715000[/tex]
- [tex]20 \times 15000 + 35000 = 335000[/tex]
These calculations correctly follow the order of operations and arithmetic principles.