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Dmitriy789 [7]
3 years ago
10

Solve for the product of 1,325 x 10₁ = ________. Then, explain how you moved the decimal to get the product.

Mathematics
1 answer:
professor190 [17]3 years ago
3 0

Answer:

13,250.0

When we multiply a number with 10, the decimal place of the original number will move to the right by one step.

Step-by-step explanation:

We can write the number 1,325 as 1325.00

Now, we have to solve the product of 1,325 \times 10^{1}

So, 1,325 \times 10^{1}

= 1,325.00 \times 10^{1}

= 13,250.0 (Answer)

Therefore, when we multiply a number with 10, the decimal place of the original number will move to the right by one step and when we divide a number with 10, then the decimal place of the original number will move by one step to the left. (Answer)

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Step-by-step explanation:

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Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

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Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

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Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

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Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

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Step-by-step explanation:

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