Which point on the number line represents the product (-4 )(-2)(-1)

Mathematics

1 answer:

faltersainse [42]3 years ago

4 0

Answer:

<em>Shown in the image</em>

Step-by-step explanation:

<u>The number line</u>

It's a graphic representation of the real numbers, usually centered at the value 0 and where the positive numbers running to the right, the negative numbers running to the left.

The product (-4)(-2)(-1) can be operated by multiplying the signs apart from the magnitudes. Recall an odd number of negative signs results in a negative number:

(-) * (-) * (-) = -

The product of the magnitudes is 4*2*1=8. Thus the result is -8.

The representation of this number is shown in the image below.

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Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she recorded Herman's weight change

Sergio [31]

The cats weight change each week is $-1\frac{1}{8}$ ounces

<h3><u>Solution:</u></h3>

Given that, Melissa put her cat, Herman, on a diet and kept track of his weight.

At the end of 4 weeks, she recorded Herman's weight change as $-4\frac{1}{2}$ ounces.

She noticed that he had lost the same amount of weight each week.

We have to find what is Herman's weight change each week of the diet?

Now, let the weight lost per week be n ounces.

Then, in total he lost 4n ounces in 4 weeks

And we are given that, lost wait is $-4\frac{1}{2}$ ounces

$\begin{array}{l}{4 n=-(4 \frac{1}{2}) \text { ounces }} \\\\ {4 n=-(\frac{4 \times 2+1}{2})} \\\\ {4 n=-(\frac{9}{2})} \\\\ {n=-(\frac{9}{8})=-(\frac{8+1}{8})=-1 \frac{1}{8} \text { ounces }}\end{array}$