Simplify- -7-18-15-7-1-1-4-1-2-1-4-

The correct option is D 17/24 ( 718 #160;×15 7) (1 ×14) + (12 #160;×14) =56 14 + 18 =1724 ...

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Standard VII

Mathematics

BODMAS

Simplify: -...

Question

Simplify: $(- \frac{7}{18} \times \frac{15}{- 7}) - (1 \times \frac{1}{4}) + (\frac{1}{2} \times \frac{1}{4})$ .

27

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- \frac{303}{40}

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\frac{5}{11}

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\frac{17}{24}

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Solution

The correct option is D $\frac{17}{24}$
$(- \frac{7}{18} \times \frac{15}{- 7}) - (1 \times \frac{1}{4}) + (\frac{1}{2} \times \frac{1}{4})$

$= \frac{5}{6} - \frac{1}{4} + \frac{1}{8}$

$= \frac{17}{24}$

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(1) 7²⁸*7¹⁵*1/7¹³

(2) (1/3)⁴*(-27/4)²*(-8/3)²

Simplify:
$(\frac{- 4}{5} \times \frac{15}{8}) + (\frac{- 1}{3} \times \frac{- 9}{7}) - (\frac{2}{1} \times \frac{25}{14})$

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Q. Simplify:

\frac{4 \frac{1}{7} - 2 \frac{1}{4}}{3 \frac{1}{2} + 1 \frac{1}{7}} \div \frac{1}{2 + \frac{1}{2 + \frac{1}{5 - \frac{1}{5}}}}

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

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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

Simplify: (−718×15−7)−(1×14)+(12×14).

The correct option is D 1724(−718×15−7)−(1×14)+(12×14)=56−14+18=1724

Simplify: $(- \frac{7}{18} \times \frac{15}{- 7}) - (1 \times \frac{1}{4}) + (\frac{1}{2} \times \frac{1}{4})$ .

The correct option is D $\frac{17}{24}$
$(- \frac{7}{18} \times \frac{15}{- 7}) - (1 \times \frac{1}{4}) + (\frac{1}{2} \times \frac{1}{4})$

$= \frac{5}{6} - \frac{1}{4} + \frac{1}{8}$

$= \frac{17}{24}$

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