Q: What is 92 45 using distributive property and show the work?

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doesnt work

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None whatsoever. You might find the distributive property useful when trying to calculate 39*74. Of course, if you are familiar with the 39 times table or the 74 times table, the distributive property is a complete waste of time! But somehow I doubt that level of arithmetic competence.

yes

The distributive property works is defined for multiplication and addition: a (b + c) = ab + ac also: (a + b)c = ac + bc For a division, it works if you can convert it into a multiplication, in a form similar to the above. For example: (10 + 2) / 2 can be converted into a multiplication; in this case, dividing by 2 is equivalent to multiplying by 1/2: (10 + 2) (1/2) = (10 x 1/2) + (2 x 1/2) If the sum is in the divisor, for example: 15 / (1 + 2) then there is no way you can convert it into an equivalent multiplication, which conforms to the forms used for the distributive property.

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doesnt work

yes

you are cool

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addition and subtraction * * * * * No. The distributive property applies to two operations, for example, to multiplication over addition or subtraction.

None whatsoever. You might find the distributive property useful when trying to calculate 39*74. Of course, if you are familiar with the 39 times table or the 74 times table, the distributive property is a complete waste of time! But somehow I doubt that level of arithmetic competence.

You do not need the GCF nor the distributive property to work out that 24 + 9 = 33. Also, you seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.

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.

No. Example: 6pm*(7pm+2am) =/= 42pm2+12ampm

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The distributive property works because multiplication can be expressed in terms of addition. For example, 3 * 4 = 3 + 3 + 3 + 3. So 3 * (2 + 4) = 3 + 3 + 3 + 3 + 3 + 3. Also, 3 * 2 + 3 * 4 = (3 + 3) + (3 + 3 + 3 + 3). Either way you have 6 3's added together or 18. Therefore, 3 * (2 + 4) = 3 * 2 + 3 * 4. This example can be generalized using summation notation to prove the distributive property for all integers.

yes