If you’re multiplying two two-digit numbers, you end up performing four smaller multiplications to produce a final product.
The grade school or “carrying” method requires about is the number of digits of each of the numbers you’re multiplying.
Have you ever needed to figure something mathematically out quickly?
Maybe you have had these thoughts: do I have enough money for a pretzel and a drink?
Having to add and subtract were the two-steps used to solve the problem.
Now on your road trip you and your friend stop for food.Mental math works great for four of the six operations of math: addition (4 4=8), subtraction (8-4=4), multiplication (4x2=8), and division (8/4=2). To solve this problem first we identify all the numbers and the operations that will be used.These four operations can be used to solve any math problem. Let's imagine you and your best friend are heading on a road trip. While on the highway, there are a total of seven cars in your lane. We know that we start with seven cars and three leave. Our problem is this: 7 cars in the lane - 3 cars that leave= 4 cars left in the lane Now we have to add the seven cars to our lane, because they joined us.Van der Hoeven describes their result as setting a kind of mathematical speed limit for how fast many other kinds of problems can be solved.“In physics you have important constants like the speed of light which allow you to describe all kinds of phenomena,” van der Hoeven said.As you are placing your order a soccer team of 26 players enter and five guests leave. You and your friend make 2 people 26 soccer players= 28 guests 28 guests - 5 that leave= 23 guests left.You can solve this problem using subtraction first like this: 26 soccer players - 5 that leave= 21 guests 21 guests 2 people (you and your friend)= 23 guests The answer is the same no matter which operation you use first to solve the problem.“Everybody thinks basically that the method you learn in school is the best one, but in fact it’s an active area of research,” said Joris van der Hoeven, a mathematician at the French National Center for Scientific Research and one of the co-authors.The complexity of many computational problems, from calculating new digits of pi to finding large prime numbers, boils down to the speed of multiplication.“If you want to know how fast computers can solve certain mathematical problems, then integer multiplication pops up as some kind of basic building brick with respect to which you can express those kinds of speeds.” Most everyone learns to multiply the same way.We stack two numbers, multiply every digit in the bottom number by every digit in the top number, and do addition at the end.