How many possible combinations of 4 numbers 1-9?
1 answer:
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The total number of stickers :
Page 1 : 28
Page 2 : 24
Page 3 : 72
Page 4 : 48
<h3>Further explanation </h3>There are several properties in integer multiplication operations
- 1. closed property
Multiplication between integers will produce integers too
- 2. commutative property
a x b = b x a
- 3. associative property
ax (bxc) = (axb) xc
- 4. identity
ax1 = 1 x a = a
- 5. distributive property
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
We can use facts to solve multiplication problems
for example :
6 x 7 = (5 x 7) + ( 1 x 7) = 42
we can break facts with 6 into 5s and 1s facts from multiplication above
julia puts her stickers into arrays in an album
From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts
- Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
- Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
- Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
- Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48
the multiplicative identity property
Keywords : stickers, arrays, album, page, Julia
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