Addition using arithmetic oprations

Solve word problems using Addition.

Standard: 4.NBT.B.4

Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Learning Outcomes

Students will be able to understand addition in real-life contexts by identifying when to use addition in word problems.
Students can apply place value knowledge to accurately add 2- and 3-digit numbers.
Students will be able to solve real-world problems by interpreting and solving word problems involving addition.
Students will be able to verify solutions by checking the reasonableness of their answers through estimation.

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Addition in Word Problems:

This involves using the addition arithmetic operation 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.

Example 1:

Liam bought 23 apples and 35 oranges. How many fruits did he buy in total?

Solution:

Identify the numbers to add:
- Apples:
- Oranges:
Add the two numbers: 23 + 35 = 58.

Final solution: Liam bought 58 fruits in total.

Example 2:

A library has 245 fiction books and 378 nonfiction books. How many books does the library have in total?

Solution:

Identify the numbers to add:
- Fiction books:
- Non-fiction books:
Add the two numbers:
Step 1: Add the one's place: . Write down 3 and carry over 1.
Step 2: Add the tens place: , then add the carryover: . Write down 2 and carry over 1.
Step 3: Add the hundreds place: , then add the carryover: .

Final Solution: The library has 623 books in total.

Example 3:

A school fundraiser collected $186 on the first day and $92 on the second. Thus, the total amount collected was $186.

Solution:

Identify the numbers to add:
- First day:
- Second day:
Add the two numbers:
Step 1: Add the one's place: .
Step 2: Add the tens place: . Write down 7 and carry over 1.
Step 3: Add the hundreds place: , then add the carryover: .

Final solution: The fundraiser collected $278 in total.

Example 4:

Mike rode 289 miles and John rode 324 miles in a bike race. In total, how many miles did they ride?

Solution:

Identify the numbers to add:
- John: miles
- Mike: miles
Add the two numbers:
Step 1: Add the one's place: . Write down 3 and carry over 1.
Step 2: Add the tens place: , then add the carryover: . Write down 1 and carry over 1.
Step 3: Add the hundreds place: , then add the carryover: .

Final solution: Together, they rode 613 miles.

Why it matters:

Adding numbers is a fundamental math skill that helps solve everyday problems, from calculating expenses to measuring quantities. It builds a strong foundation for advanced arithmetic concepts like multiplication and division. Mastering addition improves problem-solving, logical thinking, and mental math abilities.

By practicing addition with multi-digit numbers, you can solve real-world problems quickly!

Let’s practice and evaluate your work together by addition.