High School

Solve the following expressions:

1. [tex]250000 - 30000 - 10000 =[/tex]
2. [tex]250000 - (30000 - 10000) =[/tex]
3. [tex]250000 - (30000 + 10000) =[/tex]
4. [tex]15000 + 35000 \times 20 =[/tex]
5. [tex]20 \times 15000 + 35000 =[/tex]

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:

  1. [tex]250000 - 30000 - 10000 = 210000[/tex]
  2. [tex]250000 - (30000 - 10000) = 230000[/tex]
  3. [tex]250000 - (30000 + 10000) = 210000[/tex]
  4. [tex]15000 + 35000 \times 20 = 715000[/tex]
  5. [tex]20 \times 15000 + 35000 = 335000[/tex]

These calculations correctly follow the order of operations and arithmetic principles.