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Properties of Addition and Subtraction of Integers

Which of the ...

Question

Which of the following satisfies the associative property?

(15 + 27) + 18 = 15 + (27 + 18)

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(2 + 7) + 5 = 2 + (7 + 5)

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7 + 5 = 5 + 7

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All of the above

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Solution

The correct options are
A $(15 + 27) + 18 = 15 + (27 + 18)$
B $(2 + 7) + 5 = 2 + (7 + 5)$
$\begin{matrix} (15 + 27) + 18 = 60 15 + (27 + 18) = 60 \end{matrix}}$ Associative Property
Similarly,
$\begin{matrix} (2 + 7) + 5 = 14 2 + (7 + 5) = 14 \end{matrix}}$ Associative Property

But, $7 + 5 = 5 + 7$ is commutative property.
So, options A and B are correct.

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Similar questions

Solve:

(a) (b)

(e) (f)

(g) (h)

(i)

Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data:

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

Q. Show that

\frac{1}{(3 - \sqrt{8})} - \frac{1}{(\sqrt{8} - \sqrt{7})} + \frac{1}{(\sqrt{7} - \sqrt{6})} - \frac{1}{(\sqrt{6} - \sqrt{5})} + \frac{1}{(\sqrt{5} - 2)} = 5

Q. If

15

7 = 44

5

4 = 18

and

6

! 7 = 46

, then

17

4 = ?

For each set of rational numbers, given below, verify the associative property of addition of rational numbers:
$(i) \frac{1}{2}, \frac{2}{3} and - \frac{1}{6} (i i) \frac{- 2}{5}, \frac{4}{15} and \frac{- 7}{10} (i i i) \frac{- 7}{9}, \frac{2}{- 3} and \frac{- 5}{18} (i v) - 1, \frac{5}{6} ~ a n d \frac{- 2}{3}$

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28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

Which of the following satisfies the associative property?

The correct options are A (15+27)+18=15+(27+18) B (2+7)+5=2+(7+5)(15+27)+18=6015+(27+18)=60} Associative PropertySimilarly,(2+7)+5=142+(7+5)=14} Associative Property But, 7+5=5+7 is commutative property.So, options A and B are correct.

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9