Add the following : |
(a) \[7{{a}^{2}}bc,-3ab{{c}^{2}},3{{a}^{2}}bc,2ab{{c}^{2}}\] |
(b) \[5{{x}^{2}}-3xy+4{{y}^{2}}-9,\,7{{y}^{2}}+5xy-2{{x}^{2}}+13\] |
Find five rational number between. |
(a) \[\frac{2}{3}\] and \[\frac{4}{5}\] |
(b) \[\frac{-3}{2}\] and \[\frac{5}{3}\] |
(c) \[\frac{1}{4}\] and \[\frac{1}{2}\] |
Time period | 1 Year | 2 Years | 3 Years |
Simple Interest (in Rs.) | |||
Compound Interest (inRs.) |
Numbers | Associative for | |||
Addition | Subtraction | Multiplication | Division | |
Rational numbers | ... | ... | ... | No |
Integers | ... | ... | Yes | ... |
Whole numbers | Yes | ... | ... | ... |
Natural numbers | ... | No | ... | ... |
The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions. |
(a) In which subject did the student score 105 marks? |
(Hint: for 540 marks, the central angle = \[360{}^\circ ).\] |
So, for 105 marks what is the central angle? |
(b) How many more marks were obtained by the student in Mathematics than in Hindi? |
(c) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. |
(Hint: Just study the central angles). |
(a) Find \[4x\times 5y\times 7z\] |
(b) First find 4x x 5y and multiply it by 7z; or first find \[5y\text{ }\times \text{ }7z\]and multiply it by 4x. |
(c) Is the result the same? What do you observe? |
(d) Does the order in which you carry out the multiplication matter? |
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