Thursday 15 October 2020

Written Algorithm | Strategies

Written algorithm is a step by step process which uses place values to find an answer. Written algorithm can use all of the operations which are: addition (+), subtration (-), multiplication (x) and division (÷).

An algorithms structure has one number on top of the other number, an operation symbol to the left of a number and a line under the numbers which seperates the answer to the equation. The answer (once figured out) is put under the line in place value order.

To solve the problem, add the ones first, if the ones add up to a ten or over, carry the ten to the tens column by placing a small one on top of the tens column. Then add the tens, if the tens added up together, create a hundred or more, repeat the same process. For example: 7392 + 3829 = ????. 2+9=11. 90+20+10=120. 300+800+100=1200. 7000+3000+1000=11,000. Then add them all together. 11,000 + 200 + 20 + 1 = 11,221. 

To solve a problem with subtraction, start with an equation. For example: 7642 - 3877 = ???. First give 1000 from the 7000 to 600 because it is not possible to subtract 800 from 600. Then it makes 16, which represents 1600. Then give one hundred from the 600 to the 40 which will make 140 because it also isn't possible to subtract 70 from 40. Give ten from the 40 to the 2 which makes 12. Start subtracting: 12 - 7 = 5. 130 - 70 = 60. 1500 - 800 = 700. 6000 - 3000 = 3000. Then add: 3000 + 700 + 60 +5 = 3765.

Written algorithm is a good strategy to use when solving both complex and simple problems. When someone understands how to use written algorithm fast, they can use place values and solve problems in their head. 

LI: To improve on a skill in maths which is substantial to you.

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