Download Faster Ways to solve Mathematics Problems and more Schemes and Mind Maps Materials science in PDF only on Docsity!
The Fastest Ways to Solve Math Problems for Students
Subtraction and Addition
Addition in Two Steps Learning to add numbers with three digits or more can be challenging for many children, but simplifying the procedures might help. Start by including the little things first. The remainder is added in the next step. Say the pupils are tasked with finding the sum of 393 and 89. They should understand right away that adding 7 to 393 will result in 400, which is a simpler number to work with. They can then deduct 7 from 89 to bring the equation into balance. The procedure, when broken down, is: 393 + 89 (393 + 7) + (89 - 7) 400 + 82 482 The fear of large crowds will diminish with the use of this quick strategy.
Subtraction in Two Steps The process for subtracting works similarly. Remove the simple items. Then take what is left. Let's say the pupils are asked to calculate the difference between 567 and 153. Most people will think that 500 is easier to understand than 567. Therefore, before solving the problem, they just need to subtract 67 from the
minuend (567) and the subtrahend (153). Here is how it works: 567 - 153 (567 - 67) - (153 - 67) 500 - 86 414 There will be just one complicated number for pupils to work with instead of two.
Reducing 1,000 by two With this quick strategy, you can empower your kids to tackle four-digit numbers with confidence. remove the first two digits of a number from 9 to remove it from 1,000. Then, take the last digit out of 10. Say the pupils are required to solve 1,000 – 438. the following steps: 9 - 4 = 5 9 - 3 = 6 10 - 8 = 2 562 This also holds true for numbers such as 10,000, 100,000, and others that fit this pattern. Division and Exponentiation 4. Double and Cut in Half
When multiplying two integers, students can expedite the operation if one of the numbers is even. Simply divide the even number in half and increase the other number by two. When they are unable to further reduce the even number by half or when the equation becomes doable, students can halt the procedure. Here is the procedure using 33 x 48 as an illustration: 66 x 24 132 x 12 264 x 6 528 x 3 1,584 The sole need is being able to multiply by two. 5. Using Powers of Two to Multiply This strategy is a quick way to double and cut. If a number in the equation is a power of 2, meaning it applies to 2, 4, 8, 16, and so on, it simplifies multiplication.
increasing by 9 When compared to multiplication by a power of 10, most students find it more challenging to multiply by 9—or 99, 999, or any other number that fits this pattern. However, there is a simple solution that consists of two components. Students first round up from 9 to 10. Second, they deduct the result from the answer the number they just multiplied by 10 after solving the new problem. For instance, 67 x 9 and 67 x 10 both provide 67 as the result. Following the instructions will result in a result of 603. The same holds true for 67 x 99 and 67 x 100 - 67. The equation can be changed in more stages, but it is often faster this way. 7. Increasing by 11
Two-digit numbers can be multiplied by 11 in a simpler manner. Say the pupils are asked to calculate the result of 11 x 34. The goal is to separate the numbers, producing 3_4 by doing so. The total of the two digits should then be entered in the blank. The solution is 374. What occurs if there are two digits in the sum? In addition to adding 1 to the number to the left of the space, students would place the second digit there. For instance: 11 x 77 7_(7+7)7 7(14)_7 (7+1)_4_7 847 Without really multiplying, it is multiplication. 8. Increasing Even Numbers by Five This method just calls only rudimentary division knowledge. There are two phases, using 5 x 6 as an illustration. Divide the amount first by
Identifying Buzzwords Word puzzles Learning to recognize buzzwords, or words that denote certain behaviors, will be helpful for students who find it difficult to convert word problems into equations. There is no trick here. It's a ploy. Teach pupils to recognize these terms and the skills they often refer to: Include buzzwords that are often found in their textbooks (or other math textbooks) in addition to those you use on quizzes and assignments. As a result, they ought to handle word problems more quickly. The Development of Sub-Questions
Show pupils how to break down difficult word problems by responding to three particular sub-questions.
Every pupil should question themselves:
What am I trying to find? Students should read the question several times, scanning for keywords and highlighting crucial information. What details do I require? The information that students will need to answer the question should be determined. They require the minuend and subtrahend, for instance, if they judge that the inquiry is based on subtraction. What information do I have? After deciding which specifics are crucial, students should be able to construct the fundamental equation using the data in the word problem.
Students can avoid overload thanks to these subquestions. They'll be able to identify the important facts rather than writing and scrutinizing every little element of the inquiry. You can employ peer learning as necessary if you can identify the kids who are having trouble with them. Consider engaging your kids in a variety of enjoyable arithmetic activities for additional innovative ways to teach math in your classroom.
Final Thoughts Regarding These Techniques for Quickly Solving Math Problems Students might get the courage to answer challenging questions by being shown these 15 strategies. Additionally, these are mental math activities that aid in developing their concentration, logical, and critical thinking abilities. A lucrative course equates to an interesting course. That equation is simple to recall.
Jakarta, Indonesia, On September 26, 2023 By Gidion Lisupadang
