Skip to content

Whole Number Operations

Master addition, subtraction, multiplication, and division with whole numbers

Written and reviewed by the Study Mondo Education TeamLast updated
🎯⭐ INTERACTIVE LESSON

Try the Interactive Version!

Learn step-by-step with practice exercises built right in.

Start Interactive Lesson →

Whole Number Operations

Whole numbers are the numbers 0, 1, 2, 3, 4, 5, and so on. They are the counting numbers plus zero.

The Four Basic Operations

1. Addition (+)

Combining two or more numbers to find their total.

Example: 456+789=1,245456 + 789 = 1,245

2. Subtraction (−)

Finding the difference between two numbers.

Example: 1,000−347=6531,000 - 347 = 653

3. Multiplication (×)

Repeated addition or finding the total of equal groups.

Example: 24×15=36024 \times 15 = 360

4. Division (÷)

Splitting a number into equal parts.

Example: 144÷12=12144 \div 12 = 12

Properties of Operations

  • Commutative Property (+ and ×): Order doesn't matter

    • 5+3=3+55 + 3 = 3 + 5
    • 4×6=6×44 \times 6 = 6 \times 4

  • Associative Property (+ and ×): Grouping doesn't matter

    • (2+3)+4=2+(3+4)(2 + 3) + 4 = 2 + (3 + 4)

  • Order of Operations: Use PEMDAS when multiple operations appear

📚 Practice Problems

1Problem 1easy

❓ Question:

Calculate: 278+445278 + 445

💡 Show Solution

Solution:

Line up the numbers by place value:

&278 \\ + &445 \\ \hline &723 \end{align}$$ **Answer:** $723$

2Problem 2easy

❓ Question:

Calculate: 278+445278 + 445

💡 Show Solution

Solution:

Line up the numbers by place value:

&278 \\ + &445 \\ \hline &723 \end{align}$$ **Answer:** $723$

3Problem 3medium

❓ Question:

A store had 1,250 items in stock. They sold 487 items on Monday and 329 items on Tuesday. How many items are left?

💡 Show Solution

Solution:

First, find total items sold: 487+329=816487 + 329 = 816

Then subtract from original stock: 1,250−816=4341,250 - 816 = 434

Answer: 434 items are left in stock

4Problem 4medium

❓ Question:

A store had 1,250 items in stock. They sold 487 items on Monday and 329 items on Tuesday. How many items are left?

💡 Show Solution

Solution:

First, find total items sold: 487+329=816487 + 329 = 816

Then subtract from original stock: 1,250−816=4341,250 - 816 = 434

Answer: 434 items are left in stock

5Problem 5hard

❓ Question:

Calculate: 45×23−156÷1245 \times 23 - 156 \div 12

💡 Show Solution

Solution:

Follow order of operations (PEMDAS):

Step 1: Multiply and divide first (left to right) 45×23=1,03545 \times 23 = 1,035 156÷12=13156 \div 12 = 13

Step 2: Subtract 1,035−13=1,0221,035 - 13 = 1,022

Answer: 1,0221,022

6Problem 6hard

❓ Question:

Calculate: 45×23−156÷1245 \times 23 - 156 \div 12

💡 Show Solution

Solution:

Follow order of operations (PEMDAS):

Step 1: Multiply and divide first (left to right) 45×23=1,03545 \times 23 = 1,035 156÷12=13156 \div 12 = 13

Step 2: Subtract 1,035−13=1,0221,035 - 13 = 1,022

Answer: 1,0221,022

Explain using:
Next Topic →
Prime Factorization
🎴

Practice with Flashcards

Rate this topic's cards with spaced repetition. Cards join your deck when you finish a topic's lesson and take its exit quiz.

📖

Browse All Topics

Explore more Grade 6 Math topics

📌 Related Topics in Number Operations

Prime Factorization

❓ Frequently Asked Questions

What is Whole Number Operations?▾
Master addition, subtraction, multiplication, and division with whole numbers
How can I study Whole Number Operations effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 6 problems provided, checking solutions as you go. Regular review and active practice are key to retention.
Is this Whole Number Operations study guide free?▾
Yes — all study notes, flashcards, and practice problems for Whole Number Operations on Study Mondo are free to access. No account is needed.
What course covers Whole Number Operations?▾
Whole Number Operations is part of the Grade 6 Math course on Study Mondo, specifically in the Number Operations section. You can explore the full course for more related topics and practice resources.
Are there practice problems for Whole Number Operations?▾
Yes, this page includes 6 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.