Multiplying (3/10) (-3.2) (-100) by applying the commutative property of multiplication and/or associative property of multiplication, will give us:
[tex]\mathbf{(3/10)(-3.2) (-100) = 96}[/tex]
Recall:
- Based on the Commutative Property of multiplication, if you move or swap a number you want during multiplication, the result remains the same irrespective of the swap you made. i.e. (2)(3)(4) = 24; (2)(4)(3) = 24
- The Associative Property is similar to the Commutative Property. Here, it holds that: 2 x (3 x 4) = 24; 3 x (2 x 4) = 24
We can apply the Commutative Property or Associative Property to multiply (3/10) (-3.2) (-100).
Thus:
- Applying the Commutative Property and the Associative Property, let's multiply:
[tex](3/10) (-3.2) (-100) = 3/10 \times (-3.2 \times -100)\\\\(3/10) (-3.2) (-100) = 3/10 \times 320\\\\(3/10) (-3.2) (-100) = 3 \times 32\\\\(3/10) (-3.2) (-100) = 96[/tex]
Therefore, Multiplying (3/10) (-3.2) (-100) by applying the commutative property of multiplication and/or associative property of multiplication, will give us:
[tex]\mathbf{(3/10)(-3.2) (-100) = 96}[/tex]
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