Multiplication Table of 9

 Here's the multiplication table of 9, along with a description of what each entry means:

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Multiplication Table of 9

The "table of 9 multiplication" shows what happens when you add the number 9 to itself a certain number of times. It's essentially counting by nines. For example, $9\times 4$ means you add 9 four times ($9+9+9+9=36$).

The 9 times table is famous for some neat patterns and tricks that make it one of the easiest to learn!

Multiplication	Result	Description
$9\times 0$	0	Nine groups of zero is zero.
$9\times 1$	9	Nine groups of one is nine. (9 added one time)
$9\times 2$	18	Nine groups of two is eighteen. (9 added two times)
$9\times 3$	27	Nine groups of three is twenty-seven. (9 added three times)
$9\times 4$	36	Nine groups of four is thirty-six. (9 added four times)
$9\times 5$	45	Nine groups of five is forty-five. (9 added five times)
$9\times 6$	54	Nine groups of six is fifty-four. (9 added six times)
$9\times 7$	63	Nine groups of seven is sixty-three. (9 added seven times)
$9\times 8$	72	Nine groups of eight is seventy-two. (9 added eight times)
$9\times 9$	81	Nine groups of nine is eighty-one. (9 added nine times)
$9\times 10$	90	Nine groups of ten is ninety. (9 added ten times)
$9\times 11$	99	Nine groups of eleven is ninety-nine. (9 added eleven times)
$9\times 12$	108	Nine groups of twelve is one hundred eight. (9 added twelve times)

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Key Takeaways & Tricks:

1. Sum of Digits Trick (for 9×1 to 9×10):

   For any product in the 9 times table (from 9×1 to 9×10), the sum of its digits will always add up to 9.

   • $9\times 1=9$ (sum of digits = 9)

   • $9\times 2=18$ ($1+8=9$)

   • $9\times 3=27$ ($2+7=9$)

   • $9\times 4=36$ ($3+6=9$)

   • $9\times 5=45$ ($4+5=9$)

   • $9\times 6=54$ ($5+4=9$)

   • $9\times 7=63$ ($6+3=9$)

   • $9\times 8=72$ ($7+2=9$)

   • $9\times 9=81$ ($8+1=9$)

   • $9\times 10=90$ ($9+0=9$)

2. Finger Trick (for $9\times 1$ to $9\times 10$):

   • Hold both hands in front of you, palms facing you.

   • For $9\times 1$, fold down your first (leftmost) finger. Count the fingers to the right of the folded finger: 9. Result: 9.

   • For $9\times 2$, fold down your second finger. To the left of the folded finger: 1 (tens digit). To the right: 8 (units digit). Result: 18.

   • For $9\times 3$, fold down your third finger. To the left: 2. To the right: 7. Result: 27.

   • Continue this pattern. The number of fingers to the left of the folded finger gives you the tens digit, and the number of fingers to the right gives you the units digit.

3. "One Less" Tens Digit & Complementary Units Digit:

   For 9×number (from 1 to 10):

   • The tens digit of the answer is always one less than the number you are multiplying by 9.

     • Example: For $9\times 7$, the tens digit is $7-1=6$.

   • The units digit is what you need to add to the tens digit to make 9.

     • Example: For $9\times 7$, the tens digit is 6. To make 9, you need $9-6=3$. So the units digit is 3.

     • Combined: $9\times 7=63$.

These tricks make the 9 times table remarkably easy to master!