Mathematical operations:

The four operations of arithmetic are addition, subtraction, multiplication, and division. In this context, we'll focus on addition, combining two or more numbers to find their total or sum. The symbol "+." represents this.

Addition in Word Problems: This involves using the arithmetic operation of addition to solve real-life scenarios. Word problems require understanding the problem, identifying the quantities to be added, and then applying addition to find the total or combined value.

In word problems, subtraction is the process of determining the difference between two quantities. It is employed to resolve issues involving reduction, comparison, or removal of something. Subtraction helps answer questions like "How many are left?" or "What is the difference?"

Example 1:
A factory produced 520 items in the first week and 435 items in the second week. They later shipped out 600 items. How many items are still in the factory?

Solution:
Step 1: Add the items produced in the first and second weeks:

520+435=955

Step 2: Subtract the items shipped out:

955−600=355

Answer: There are 355 items left in the factory.

Example 2:
A farmer harvested 450 apples from one orchard and 320 apples from another. He sold 600 apples. How many apples are left? Verify if the remaining apples equal 170.

Solution:
Step 1: Add the apples harvested.

450+320=770

Step 2: Subtract the apples sold:

770−600=170

Step 3: Verify:
The remaining apples are 170, which matches the expected result.

Answer: The farmer has 170 apples left, and equality holds.

Example 3:
A bookstore had 825 books. They sold 245 books in the morning and received 120 new books in the afternoon. If the total number of books is equal to 700, how many books are left?

Solution:
Step 1: Subtract the books sold:

825−245=580

Step 2: Add the new books received:

580+120=700

Step 3: Verify equality:
The total number of books is 700, which satisfies the given condition.

Answer: The number of books left is 700, and the equation is balanced.

Example 4:
A company had 1,200 employees. After 350 employees resigned, the company hired 150 new employees. If the current total equals 1,000 employees, is this correct?

Solution:
Step 1: Subtract the employees who resigned:

1,200−350=850

Step 2: Add the newly hired employees:

850+150=1,000

Step 3: Verify equality:
The current total is 1,000, which satisfies the condition.

Answer: The company's current total is 1,000 employees, and the equality holds.

Let's practice solving place values, and stay tuned with us for more content.