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natita [175]
3 years ago
5

Which of the following equations shows the correct way to apply the Commutative Property of Addition?

Mathematics
1 answer:
o-na [289]3 years ago
4 0

Answer:

Commutative Property of Addition: a + b = b + a

Step-by-step explanation:

The Commutative Property of Addition implies that even on changing the order of addition the final result (i.e. the sum) remains the same.

  • Consider the addition of two numbers, say <em>a</em> and <em>b</em>:

a + b = b + a

Suppose <em>a</em> = 5 and <em>b</em> = 6, then:

<em>a</em> + <em>b</em> = 5 + 6 = 11

<em>b</em> + <em>a</em> = 6 + 5 = 11.

Thus, a + b = b + a.

  • Consider the addition of three numbers, say <em>a, b</em> and <em>c</em>:

a + b + c= a + c + b = b + a + c = c + a + b

Suppose <em>a</em> = 4, <em>b</em> = 3 and <em>c</em> = 6, then:

a + b + c = 4 + 3 + 6 = 13

a + c + b = 4 + 6 + 3 = 13

b + a + c = 3 + 4 + 6 = 13

c + a + b = 6 + 4 + 3 = 13.

Thus, a + b + c= a + c + b = b + a + c = c + a + b.

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The exterior angle measure of a regular polygon is 20 degrees. How many sides does the polygon have? 9 16 18 20
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Read 2 more answers
Jack and Jill live 126 km apart. They want to leave their homes at the same time,
Digiron [165]

Answer:

Both will leave their homes to meet on time at 9 am  

Step-by-step explanation:

Given as, Distance between Jack  and Jill = 126 km

Speed of Jack rides = 18 kilometers per hours

Speed of Jill rides     = 24 kilometers per hours

Let the distance travel by Jack = x km

And the distance travel by Jill  =  (126 - x ) km

Time taken by Jack and Jill = T hours

Now , Distance = Speed × Time

So,     x = 18 × T

And  126 - x = 24 × T

Or,    126 - x =  24 × \frac{x}{18}

Or,    126 - x =  x × \frac{4}{3}

Or,    378 - 3x = 4x

Or,    378 = 7x

i.e x = \frac{378}{7} = 54 km

And distance travel by Jill = 126 - 54 = 72 km

So, time taken by Jack = \frac{x}{18} = \frac{54}{18}

Or, Time taken by Jack = 3 hours

Similarly Time take by Jill = \frac{72}{24} = 3 hours

∵ Both Jack and Jill will take 3 hours to meet at 12 : 00 pm

Hence, Both will leave their homes to meet on time at 9 am   Answer

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mrs_skeptik [129]
Umm maybe try:

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