The property that multiplication is distributive over addition means that a*(b+c) = (a*b) + (a*c) The usufulness of this property can be illustrated by the following example: 8*(102) = 8*(100+2) = (8*100) + (8*2) = 800 + 16 = 816. So if you split 102 into 100 and 2, and then use the distributive property, you do not need to work with a large number such as 102.
The commutative property
1. Write equation on paper. 2. Use Distributive Property. 3. Combine like terms. 4. Use reflexive Property. (ex.- adding or subtracting 3x to both sides) 5. Inverses Property of Addition ( answer; almost to final answer) 6. Reflexive Property. (ex.- add or subtract 2 to both sides of equation) 7. Inverse Property of Addition (ex.- 5x=5) 8. Multiplication Property (ex. 5x/5= x=1 OR (1/5)(5x) = 1/5(5)= x=1 9. Final answer (ex: x=1)
You could use it because it shows that its just 7 times 8 flipped!
You don't use a 'property" to combine like terms, you use an "operation". To combine like terms, use the following operations:Addition: 4x+3x=7xSubtraction: 4x-3x=1x=xMultiplication/Division:4x = 2x + y-2x + 4x = 2x + y -2x2x = y1/2 * 2x = y * 1/2x = y/2check: x,y=(10,20)4*10 = 2*10+2040 = 20+2040 = 40 = true==============You are absolutely right! I stand corrected: But if the asker wants to know, it is the distributive property of like terms which makes combing them possible as illustrated in the examples, above. Thanks.-----You can use the distributive property to combine like terms.For example, take 3x+5x. By using the distributive property, this is the same as x(3+5). Since 3+5=8, the sum of 3x and 5x is 8x.
9*8 = 72. You do not need the distributive property for such a basic multiplication.
8*37 = 8*(30+7) = 8*30 + 8*7 [that is using the distributive property] = 240 + 56 = 296
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The property that multiplication is distributive over addition means that a*(b+c) = (a*b) + (a*c) The usufulness of this property can be illustrated by the following example: 8*(102) = 8*(100+2) = (8*100) + (8*2) = 800 + 16 = 816. So if you split 102 into 100 and 2, and then use the distributive property, you do not need to work with a large number such as 102.
The DISTRIBUTIVE property is a property of multiplication over addition (or subtraction). In symbolic terms, it states that a * (b + c) = a * b + a * c
The distributive property is a red herring for this question: you do not need it! The distributive property is applicable when you have two binary operations - multiplication and addition, for example. This question has nothing of the sort. Perhaps you meant some other property.
It is probably the distributive property of multiplication over addition or subtraction. However, wit so many missing symbols, it is difficult to be sure.
It is not the distributive property. The statement in the question is simply FALSE.
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The distributive property of multiplication over addition states that you get the same result from multiplying the sum as you do from summing the individual multiples. In algebraic form, X*(Y + Z) = X*Y +X*Z and, as an example, 2*(3+4) = 2*7 = 14 = 6 + 8 = 2*3 + 2*4 The distributive property of multiplication over subtraction is defined in a similar fashion.
12 x 18 = (12 x 10) + (12 x 8)
8*31 = 8*(30 + 1) which, using the distributive property, is= 8*30 + 8*1 = 240 + 8 = 248