All categories

3 years ago

Which of the following shows why the commutative property doesn't work under subtraction

Mathematics

2 answers:

Annette [7]3 years ago

5 0

Hello! To answer your question, you first need to know what the commutative property is and does. Down to the basics, it lets you switch around numbers and it would allow me to say that 2+5=7 and 5+2=7. This property also works in multiplication, because if I take 4*2=8, and 2*4 still equals 8. Now that I've either refreshed or hopefully helped you to understand the property better, why wouldn't it work under subtraction? If you switch numbers around in subtraction, will your answer still be the same? Once you answer that, take a peak at the worksheet! I hope this has helped in some way, and if you have any further questions send me a question or another message. Good luck :)

siniylev [52]3 years ago

3 0

Answer with explanation:

Commutative property under subtraction:

If a and b are any two real numbers such that,⇒ a-b =b-a, then we say that ,a and b Satisfy Commutative property under Subtraction.

Take any two real numbers

a=5.6

And,b=7

→a-b

=5.6-7

= -1.4

→b-a

=7-5.6

=1.4

So,a-b≠b-a

Therefore , we can say that, real numbers doesn't satisfy commutative property under subtraction.

Option D: ⇒5-1≠1-5

This statement shows that, commutative property doesn't work under subtraction.

You might be interested in

A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.

Lyrx [107]

Let's start out by tripling the original recipe to see how much butter Angie needs.

$\frac{3}{4} * 3 = total$
$\frac{3* 3}{4} = total$
$\frac{9}{4} = total$
$2 \frac{1}{4} = total$

So we need $2 \frac{1}{4}$ cups of butter, but Angie only has $1 \frac{5}{8}$ . Let's subtract what Angie has from the total to see how much more she needs.

$2 \frac{1}{4} - 1\frac{5}{8} = n$
$\frac{9}{4} - \frac{13}{8} = n$
we will need the least common denominator for both fractions
$\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n$
$\frac{18}{8} - \frac{13}{8} = n$
$\frac{5}{8} = n$

So Angie need $\frac{5}{8}$ cups more of butter for the recipe.

7 0

3 years ago

PLEASE HELP

likoan [24]

Answer:

750

Step-by-step explanation:

https://brainly.in/question/5873877#:~:text=Hence%20750%20students%20are%20enrolled.

3 0

3 years ago

What is the slope of the line? m=

telo118 [61]

Answer:

m = 1/4

Step-by-step explanation:

slope = rise / run

rise = 1 (red arrow)

run = 4 (dotted line)

3 0

2 years ago

Z divided by 3-2z + 4(z-8) when z = 18 A. -122 B. 6 C. -66 D. 10

murzikaleks [220]

Everywhere you see z, replace the letter with 18.

z/[(3- 2z)] + 4(z - 8)

18/[(3 - 2(18))] + 4(18 - 8)

You finish.

3 0

3 years ago

Find out if the 3 positions are on the same line or not (3,2,0) (1, -1,2) (5,5, 2)

sattari [20]

Answer:

The three positions are not on the same line.

Step-by-step explanation:

We have three points: A:(3,2,0), B:(1,-1,2) and C:(5,5,2).

Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:

$A-B=(3,2,0)-(1,-1,2)=(2,3,-2)$

The equation of a line is:

$p=p_0+rt$

Where p is every singular point of the line, $p_0$ is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.

Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:

$p=p_0+(2,3,-2)t$

Because there is a value for t that satisfies both A and B: If we do $p_0=(3,2,0)$ and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:

$p=(3,2,0)+(2,3,-2)*0=(3,2,0)\\p=A\\p=(3,2,0)+(2,3,-2)*-1=(1,-1,2)\\p=B\\$

If C is also in the same line, C must accomplish the equation: $p=(3,2,0)+(2,3,-2)t$ , so:

$C=(5,5,2)=(3,2,0)+(2,3,-2)t$

Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:

$5=3+2t\\5=2-3t\\2=-2t\\$

You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.

8 0

3 years ago