Multiplication Facts memorized fast Tricks and shortcuts to facts

Commutative Property The order of the factors doesn’t affect the product. So if you know 3 x 6 = 18, then 6 x 3 = 18 This means you only have to memorize half of them.

Zero and Identity properties Any number multiplied by zero equals a product of zero. 6 x 0 = 0 Six sets of nothing is still nothing. 0 x 1,000,000 = 0 No sets of 1,000,000 is nothing. Any number multiplied by one equals the other factor. 1 x 7 = 7 999 x 1 = 999

Multiplying by ten and five 8 x 10 = 80 because it is having eight sets of ten. Or you can just count by 10. 10, 20, 30, 40, 50, 60, 70 , 80 Multiplying by ten is like getting that many tens in base ten blocks. To multiply by five just count by fives 5 x 9= 5, 10, 15, 20, 25, 30, 35, 40, 45 Or you can multiply by 10 and split the product in half. 5 x 6 = 6 x 10 = 60 60 split is 30

Doubles, doubles, and more doubles To multiply by 2 just double the other factor. 2 x 8 = 8 + 8 = 16 To multiply by 4 just double then double again. 4 x 6 = 6 + 6 = 12 12 + 12 = 24 To multiply by 8 just double then double then double again. 8 x 3= 3 + 3= 6 12 + 12= 24

Multiplying by 3 and 6 To multiply by 3 just double the other factor and then add it again. 3 x 6 = 6 + 6 = 12 12 + 6 = 18 To multiply by 6 first multiply by 3 then double that product. 6 x 8 = 3 x 8 = 8 + 8 = 16 then 16 + 8 = 24 24 + 24 = 48

Multiply by 9 Several strategies. http://shelleygrayteaching.com/the-9s-trick-for-multiplication/ http://www.multiplication.com/sites/default/files/files/the%20Nines%20Hand%20T rick-key.pdf Or multiply the other factor by 10 and then subtract one set of the other factor 9 x 6 = 6 x 10 = 60 60 – 6 = 54

Multiply by 7, 11, and 12 using distributive property 7 x 8 = Split 7 into 5 + 2 11 x 3 = Split 11 into 10 and 1 12 x 9= Split 12 into 10 and 2 Multiply by each piece of 7 5 x 8 = 40 and 2 x 8 = 16 10 x 3 =30 and 1 x 3 10 x 9 = 90 and 2 x9 = 18 Then add the totals together 40 + 16 = 56 so 7 x 8 = 56 30 + 3 = 33 Then add 90= 18 = 108