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Addition Algorithms Practice

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Addition Algorithms Practice

Use place value to add accurately. Show working for written calculations, and check that your answers are reasonable.

Volcano observatory supply log

Tui and Nathan are adding equipment and supply totals at a volcano observatory. Read each task carefully and use an addition method that makes sense.

1.Which description best explains an addition algorithm?

A step-by-step method for finding a total
A rule for comparing two numbers
A shortcut for dividing numbers
A way to estimate without calculating

2.Tui is setting out 3,468 sensor readings and 2,759 more from a second station. Explain why digits must be aligned by place value when adding these totals vertically.

3.In the standard vertical addition algorithm, which column do you add first?

The largest place-value column
The ones column, working from right to left
Any column, in any order
The tens column

4.Add 4,786 + 2,957 using the vertical-column method. Show your carrying clearly.

5.Add 18,649 + 7,785. Set the numbers out in columns and show your working.

6.Nathan estimates 6,384 + 2,728 by rounding each number to the nearest thousand. What estimate does he get?

7.The observatory has 12,875 litres of emergency water in one tank and 9,648 litres in another. How many litres are there altogether? Show a written addition method and include the unit.

8.A column contains 8 + 7 + 6. What should you do in the standard algorithm when a column total is greater than 9?

9.Tevita claims that 3,905 + 2,180 = 5,085. Is he correct? If not, find and explain the error-free total.

10.The observatory records 14,386 seismic sensor readings on Monday, 8,975 on Tuesday, and 6,749 on Wednesday. How many readings were recorded over the three days? Show your addition working.

11.A student adds 2,368 + 1,754 and gets 4,012. Find the correct sum and state one useful check for the answer.