Can someone help me please? justify your answer also plz!​

a. True

b. False

c. True

Step-by-step explanation:

a.

12 ÷ is equal to

Personally, I hate fractions so I make these into decimals by dividing the numerator by the denominator, but I'll do both to show you.

Decimal:

In your calculator, type 12

Then the division sign.

Then make parenthesis

in the parenthesis you will have (36/7)

End parenthesis

Press the equal sign and you should get a grand total of 2.333 repeating

To see if its equal to , you put 7 divided by 3 in your calculator next

If you do, you should get 2.333 repeating.

This shows they are equal.

Fraction:

Keep, switch, flip

The first step will be to make your whole number into a fraction.

÷

The first thing we use is keep

The first number in this equation is that

We're going to leave it as it is.

Next we have to use switch. To do this we make the ÷ into a ×

So your problem should look as so:

Lastly, we have flip.

The last number in our equation is

We are going to use the reciprocal of it which would be

So your problem should now look like this:

At this point, we can now cross multiply

So from the numerator 12 to the denominator 36, if we divided 36 by 12 its 3.

But the denominator 1 and the numerator 7 are already divided as much as they can be.

So now your expression should be:

This is because of that cross multiplication we did.

12 goes into 36, 3 times so 3 would substitute 36 while 1 would substitute 12

So now its just basic multiplication

So we can conclude that does in fact equal

b.

Multiplying a number by is the same as dividing by 2

This is false

When you multiply by 2, you are doubling the original number

When you multiply by , you are cutting the number in half

Ex:

18 * 2 = 36

18 * = 9

If it was dividing instead of multiplying, this would be true but since halves the number whether you multiply or divide it would not be true.

c.

of a number is less than this number

Basically, what this is saying is if you divide by , would it give you less than the original number.

The answer would be true

It would be division first of all because your looking for of a number.

Secondly, if you divide by a fraction or decimal, the number tends to be smaller than the number you started with.

Ex:

6 ÷ = 4 or 6 ÷ 1.5 = 4

Ex2:

682 ÷ = 454.6 repeating or 682 ÷ 1.5 = 454.6 repeating

I hope this helps! Don't be afraid to reach out with any further questions!

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step-by-step explanation: