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Addition Algorithm Steps
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Addition Algorithm Steps
Choose the best answer where options are given. For written questions, show your steps clearly.
Understand addition algorithms
An algorithm is a clear set of steps for completing a task.
1.Which description best explains an algorithm?
- A set of instructions followed in order
- A number that ends in zero
- A tool used only for drawing
- A way to guess an answer
2.Layla is setting out 36 feed bags, then receives 25 more. In a written column-addition method, what should she do before adding?
- Line up the ones and tens columns
- Add the tens before writing the numbers
- Put the larger number underneath the ones column
- Estimate and stop there
3.In 58 + 27, the ones digits total 15. What should you do with the extra ten?
- Regroup it as 1 ten and add it to the tens column
- Erase the 1 and keep only 5
- Move it to the hundreds column
- Add it to the ones column again
4.Which feature helps prevent mistakes by making each step's action explicit?
- Each step clearly tells you what to do next
- The steps are written in a random order
- The instructions are difficult to understand
- The method leaves out what to do when regrouping is needed
Build and use a method
Keep digits in matching place-value columns as you work.
5.Write a numbered algorithm for adding 46 + 32. Include how to line up the numbers and how to check the total.
Tens
Ones
6.Use column addition to find 46 + 32. Show the ones and tens calculations.
7.A stock crate holds 28 tins and another crate holds 35 tins. Calculate the total using a written addition algorithm.
8.A station tally begins at 26 and increases by 17. Follow the jumps shown on the number line: jump 10 from 26 to 36, then jump 7. What is the new total?
9.In the first step for 34 + 25, line up the numbers and add the digits: 4 + 5 = .
10.In the next step for 34 + 25, add the digits: 3 + 2 = .
11.For 34 + 25, the total is .
Check your algorithm
Apply the same place-value steps, including regrouping when a column makes ten or more.
12.Use an addition algorithm to calculate 57 + 28. Show what you do when the ones total is greater than 9.
13.A delivery brings 39 water containers to an outback station in the morning and 46 in the afternoon. Find the day's total with column addition.
14.Why does a written addition method add the ones column and tens column separately?
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