Secrets of Mental Math: The Mathemagician's Guide to by Arthur Benjamin, Michael Shermer

By Arthur Benjamin, Michael Shermer

Those basic math secrets and techniques and tips will without end switch the way you examine the realm of numbers.

Secrets of psychological Math may have you pondering like a math genius very quickly. prepare to amaze your friends—and yourself—with very good calculations you by no means proposal you'll grasp, as well known “mathemagician” Arthur Benjamin stocks his concepts for lightning-quick calculations and extraordinary quantity tips. This booklet will train you to do math on your head speedier than you ever concept attainable, dramatically enhance your reminiscence for numbers, and—maybe for the 1st time—make arithmetic fun.

Yes, even you could learn how to do possible advanced equations on your head; all you must examine are a number of methods. You’ll be capable to speedy multiply and divide triple digits, compute with fractions, and make certain squares, cubes, and roots with no blinking a watch. it doesn't matter what your age or present math skill, Secrets of psychological Math will let you practice outstanding feats of the brain without difficulty. this is often the maths they by no means taught you at school.

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10, which is 5% of the bill. 30, which is exactly 15% of the bill. We will discuss strategies for calculating sales tax, discounts, compound interest, and other practical items in Chapter 5, along with strategies that you can use for quick mental estimation when an exact answer is not required. IMPROVE YOUR MEMORY In Chapter 7, you will learn a useful technique for memorizing numbers. This will be handy in and out of the classroom. Using an easy-to-learn system for turning numbers into words, you will be able to quickly and easily memorize any numbers: dates, phone numbers, whatever you want.

84 ؊ 59 ᎏᎏ 3. 92 ؊ 34 ᎏᎏ 6. 63 ؊ 46 ᎏᎏ 7. 51 ؊ 27 ᎏᎏ 8. 89 ؊ 48 ᎏᎏ 4. 9. 67 ؊ 48 ᎏᎏ 125 ؊ 79 ᎏᎏ 5. 10. 79 ؊ 29 ᎏᎏ 148 ؊ 86 ᎏᎏ Three-Digit Subtraction Now let’s try a three-digit subtraction problem: 958 ؊ 417 (400 ؉ 10 ؉ 7) ᎏᎏ This particular problem does not require you to borrow any numbers (since every digit of the second number is less than the digit above it), so you should not find it too hard. Simply subtract one digit at a time, simplifying as you go. qxd 5/4/06 1:46 PM Page 24 24 Secrets of Mental Math 958 ؊ 417 ‫؍‬ ؊ 400 558 ؊ 17 ‫؍‬ ؊ 10 548 ؊ 7 ‫؍‬ ؊7 541 Now let’s look at a three-digit subtraction problem that requires you to borrow a number: 747 ؊ 598 (600 ؊ 2) ᎏᎏ At first glance this probably looks like a pretty tough problem, but if you first subtract 747 ؊ 600 ‫ ؍‬147, then add back 2, you reach your final answer of 147 ؉ 2 ‫ ؍‬149.

This is undoubtedly the opposite of what you learned in school. qxd 5/4/06 1:45 PM Page 31 Products of a Misspent Youth: Basic Multiplication But you’ll soon see how much easier it is to think from left to right than from right to left. (For one thing, you can start to say your answer aloud before you have finished the calculation. ) Let’s tackle our first problem: 42 ؋ 7 ᎏ First, multiply 40 ؋ 7 ‫ ؍‬280. ) Next, multiply 2 ؋ 7 ‫ ؍‬14. Then add 280 plus 14 (left to right, of course) to arrive at 294, the correct answer.

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