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MAXImum [283]
2 years ago
10

Celinda thought of 89.5 in parts, 80 + 9 + 0.5, and divided each part: 80 ÷ 10 = 8; 9 ÷ 10 = or 0.9; 0.5 ÷ 10 = 0.05. Then she a

dded the parts to get 8.95. What do you notice?
Mathematics
1 answer:
Arlecino [84]2 years ago
8 0

Answer:

Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.  

Step-by-step explanation:

This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.

A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)

In the exposed example we know that 89.5 = 80 + 9 + 0.5.

  • <u>Option 1</u>

(80/10) + (9/10) + (0.5/10) =

8 + 0.9 + 0.05=

8.95

  • <u>Option 2</u>

89.5/10 = 8.95

     

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Answer:

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Step-by-step explanation:

The requirement x/z = -z means x = -z².

The requirement x/y = z means x = yz.

These two requirements together mean yz = -z², or y = -z.

The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).

Using z=-6, we have x = -z² = -36; y = -(-6) = 6.

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