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Enjoy my posting about multiplication
To multiply any two like numbers with fractions that sum to 1 (for instance, 4 3/4 x 4 1/4), multiply the whole number by the next highest number (4 x 5) and append the product of the fractions (3/4 x 1/4). In the case of 4 3/4 x 4 1/4, 4 x 5 = 20. Then append the product of 3/4 x 1/4, 3/16. Thus, 20 3/16.
To multiply any two numbers whose ones digits sum to 10 and with like remaining numbers (for instance, 106 x 104) multiply the upper tens numbers by the next higher number (in this case, 10 x 11) and multiply the ones digits that sum to 10 (6 x 4) and then set the products next to one another successively (11024). Another example is 57 x 53. 5 x 6 = 30; 7 x 3 = 21; answer is 3021.
To multiply any number by any number of 9's (for instance, 28 x 99), append as many 0's to the multiplicand as there 9's in the multiplier (2800), and from this number subtract the multiplicand (2800 - 28 = 2772). The remainder is the answer. (2772)
Cross multiplication is a method of multiplying large numbers in a single line. Take the example 18 x 76. First multiply 8 x 6, set down the 8, and carry the 4. Next multiply 1 x 6, 7 x add the products and add the carried 4 to give 66. Set down the 6, multiply 1 x 7, and add 6 to the product to give 13 which you set down to conclude the problem and yield the answer, 1368. (To learn this, work a few examples on paper.)
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Multiplication |
