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3 years ago

Find each of the numbers below. Simplify your answers as much as possible.

Mathematics

1 answer:

puteri [66]3 years ago

5 0

Answer:

a. 4

b. -8

c. -2

Step-by-step explanation:

Take any number x;

Its opposite is -x

The opposite of its opposite is x

Using the above statements, we can solve the following questions

Solving (a): -4

In this case:

$x = -4$

The opposite; -x is

$-x = -(-4)$

$-x = 4$

Solving (b): 8

In this case:

$x = 8$

The opposite; -x is

$-x = -8$

Solving (c): -2

In this case:

$x = -2$

The opposite; -x is

$-x = -(-2)$

$-x = 2$

The opposite; -(-x) is

$-(-x) = -2$

$x = -2$

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Step-by-step explanation:

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3 years ago

Four ninths plus nine eighteenths :]

goldenfox [79]

Answer: 17/18

In words, this is seventeen eighteenths

==========================================

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

----------------

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.