kinda how i've been feeling for the past few days. every thing is just getting shoved in my face at once and i got very confuzed over my math class.
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Here's how I do the multiplications.
9, 10 and 11 are all pretty easy since they have simple patterns:
9
9 * N = ?
•First digit of result
F = (N-1)
•Second digit of result = (9-F)
So 9 * 6...
6-1 = 5
9-5 = 4
Answer = 54
And you know you're right if you add up the two digits and they equal 9.
Or in words...subtract 1 from the number you're multiplying 9 by, then subtract that number from 9, then put the two numbers next to each other.
10
You probably already know 10s...just put a zero after the number you're multiplying by ten.
11
For 11s, just put the number you're multiplying by twice in a row. If it's more than two digits, overlap the middle digit and add the overlap together
11 * 4 = 44
11 * 9 = 99
11 * 11 = 1(1 + 1)1 = 121
8
8s are a lot harder...here's how I think of them:
8 * 2 = 8 + 8 = 16
8 * 3 = (4 * 3) * 2 = 12 * 2 = 24
8 * 4 = 16 + 16 (since 4 = 2 + 2) = 32
8 * 5 = 40 (5 weekdays, 8 hours a day working)
6 * 8 = 48 (rhymes, or add 8 to 5 * 8)
8 * 7 = 64 - 8 = 56 (I can never remember this one!)
8 * 8 = 64 (good to know the squares - the number times itself - also this is a number used in computers a lot because 8 bits = 1 byte)
8 * 9, 10, 11...see above
12
12 * 2 = 12 + 12 = 24
12 * 3 = 24 + 12 = 36
12 * 4 = 24 + 24 = 48
12 * 5 = (10 * 5) + (2 * 5) = 60
12 * 6 = 72 (number of inches a 6 foot tall person is)
12 * 7 = 72 + 12 = 84
12 * 8 = 120 - 24 = 96
12 * 9 = 120 - 12 = 108
12 * 10 = 120
12 * 11 = 1(2 + 1)2 = 132
12 * 12 = 144 (the square again...also 144 is called a ''gross'')
As you can see, I still struggle with the 8s and 12s...but I have found quick ways to figure them out.
For Divisions...I just remember the multiplications but do them backwards.
Let me know if you're using decimal numbers instead of integers (whole numbers).
Hope some of this helps ya... :3
Kev
)÷3
9, 10 and 11 are all pretty easy since they have simple patterns:
9
9 * N = ?
•First digit of result
F = (N-1)
•Second digit of result = (9-F)
So 9 * 6...
6-1 = 5
9-5 = 4
Answer = 54
And you know you're right if you add up the two digits and they equal 9.
Or in words...subtract 1 from the number you're multiplying 9 by, then subtract that number from 9, then put the two numbers next to each other.
10
You probably already know 10s...just put a zero after the number you're multiplying by ten.
11
For 11s, just put the number you're multiplying by twice in a row. If it's more than two digits, overlap the middle digit and add the overlap together
11 * 4 = 44
11 * 9 = 99
11 * 11 = 1(1 + 1)1 = 121
8
8s are a lot harder...here's how I think of them:
8 * 2 = 8 + 8 = 16
8 * 3 = (4 * 3) * 2 = 12 * 2 = 24
8 * 4 = 16 + 16 (since 4 = 2 + 2) = 32
8 * 5 = 40 (5 weekdays, 8 hours a day working)
6 * 8 = 48 (rhymes, or add 8 to 5 * 8)
8 * 7 = 64 - 8 = 56 (I can never remember this one!)
8 * 8 = 64 (good to know the squares - the number times itself - also this is a number used in computers a lot because 8 bits = 1 byte)
8 * 9, 10, 11...see above
12
12 * 2 = 12 + 12 = 24
12 * 3 = 24 + 12 = 36
12 * 4 = 24 + 24 = 48
12 * 5 = (10 * 5) + (2 * 5) = 60
12 * 6 = 72 (number of inches a 6 foot tall person is)
12 * 7 = 72 + 12 = 84
12 * 8 = 120 - 24 = 96
12 * 9 = 120 - 12 = 108
12 * 10 = 120
12 * 11 = 1(2 + 1)2 = 132
12 * 12 = 144 (the square again...also 144 is called a ''gross'')
As you can see, I still struggle with the 8s and 12s...but I have found quick ways to figure them out.
For Divisions...I just remember the multiplications but do them backwards.
Let me know if you're using decimal numbers instead of integers (whole numbers).
Hope some of this helps ya... :3
Kev
)÷3
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