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Whole Numbers Addition Subtraction

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Whole Numbers Addition Subtraction

Show your working for calculations. Use commas to separate groups of three digits in large numbers.

Properties and Estimation

1.Which addition property is demonstrated by 36,000 + 58,000 = 58,000 + 36,000?

Commutative property
Identity property
Associative property

2.Round each addend in 426,381 + 173,649 to the nearest ten thousand, then add the rounded numbers to estimate the total.

3.Use 120,000, 95,000 and 215,000 to complete this addition and subtraction fact family.

4.In 584,726, what is the place value of the digit 8?

Hundred thousands
Ten thousands
Thousands

Calculations and Word Problems

5.Calculate each expression using the vertical-column method. Show your working. a) 328,746 + 459,283 b) 900,000 − 468,527

6.A concert venue has 52,800 seats. If 38,467 people attend, how many seats are unoccupied? Write an equation and calculate the answer.

7.The estimated populations of Christchurch and Dunedin are 389,000 and 134,000. Round each population to the nearest ten thousand to estimate their combined population, then find the exact total.

8.A student claims that 318,756 + 247,839 = 566,595. Use subtraction as an inverse operation to check the claim: calculate 566,595 − 318,756, then state whether the addition is correct and explain.

Problem-Solving Challenge

9.A community fundraiser receives $118,650 in its first month, $96,875 in its second month and $172,430 in its third month. The target is $400,000. Find the total raised and decide whether the target was met. Show your working.

10.Write your own addition problem using two whole numbers greater than 100,000. Estimate the total by rounding to the nearest ten thousand, then calculate the exact total.