Whole Numbers Addition Subtraction

Name:

Date:

📚 Part 1: Properties and Estimation

1. Which property of addition is shown in this equation: 45,000 + 23,000 = 23,000 + 45,000?

Commutative property

Identity property

Associative property

2. Round 387,542 to the nearest ten thousand to estimate the answer for 387,542 + 124,876.

Rounded numbers: _________ + _________ = _________

3. Complete this fact family using the numbers 150,000, 85,000, and 235,000:

150,000 + 85,000 = _________

85,000 + 150,000 = _________

235,000 - 150,000 = _________

235,000 - 85,000 = _________

4. What is the place value of the digit 7 in the number 672,851?

Thousands

Ten thousands

Hundred thousands

✏️ Part 2: Calculations and Word Problems

5. Calculate using the vertical-column method. Show your working.

a) 456,789 + 234,567

b) 800,000 - 347,256

6. A sports stadium has 65,430 seats. During a rugby match, 47,285 people attended. How many seats were empty?

Equation: _________________________________

7. The population of Auckland is approximately 1,695,000 people. The population of Wellington is approximately 215,000 people. What is the combined population of both cities?

Estimate first by rounding: _________________ + _________________ = _________________

Exact calculation: _________________________________

8. Check if this calculation is reasonable by using inverse operations:

If 234,567 + 456,789 = 691,356, then 691,356 - 234,567 should equal _________

Is the original answer correct? Explain your reasoning:

🎯 Part 3: Problem Solving Challenge

9. A charity raised money over three months: $125,780 in January, $89,450 in February, and $156,920 in March. Their goal was to raise $400,000. Did they reach their goal? Show all working.

10. Create your own addition problem using whole numbers greater than 100,000. Estimate the answer first, then solve exactly.

Your problem: _________ + _________ = ?

Estimate: _________________

Exact answer: _________________