The multiplication table is useful when learning basic math, fractions, and factoring polynomials. The way to use the multiplication table is not to look at the table while solving a math problem, but to memorize the table.
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How to Use the Multiplication Table

x23456789
246810 12 141618
3691215 18 212427
48121620 24 283236
510152025 30 354045
612182430 36 424854
714212835 42 495663
816243240 48 566472
918273645 54 637281

The multiplication table is useful when learning basic math, fractions, and factoring polynomials. The way to use the multiplication table is not to look at the table while solving a math problem, but to memorize the table. Problems involving addition or subtraction of fractions, or factoring polynomials can be solved almost intuitively if you have the multiplication table memorized. In this case the you would actually be using the multiplication table as a division table.

Some multiplication tables have a larger range of numbers, but you don't want to memorize a very large table of numbers. This multiplication table goes from 2 to 9. You don't need 0 in a multiplication table because 0 times any number is 0. You don't need 1 in a multiplication table because 1 times any number is that number.

You don't need 10 in a multiplication table because 10 times any number is that number moved to the ten's place with a zero in the one's place. You don't need 11 in a multiplication table because 11 times any number is that number moved to the ten's place, with that number also in the one's place. For example 11 times 8 is 88.

If you're dealing with numbers requiring factoring numbers higher than 81, you are working at ta higher level of mathematics which requires knowing how to find common factors and primes factors of large numbers.

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