$$\cfrac { 2 }{ 3 } of\cfrac { 4 }{ 5 } of\quad 4\cfrac { 3 }{ 4 } \div \cfrac { 7 }{ 8 } of\cfrac { 9 }{ 10 }$$

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Verify the following:
$$\left (\dfrac {3}{4} + \dfrac {-2}{5}\right ) + \dfrac {-7}{10} = \dfrac {3}{4} + \left (\dfrac {-2}{5} + \dfrac {-7}{10}\right )$$.

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Fill in the blanks:

$7 \times 10^{5} + 7 \times 10^{4} + 2 \times 10^{3} + 3 \times 10^{2} + 4 \times 10^{1} + 7 \times 10^{0} = . . . . . . . . . . . . . . . . . . .$

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a + b + c = 3

and

a > 0, b > 0, c > 0

, then the greatest value of

a^{2} b^{3} c^{2}

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State withreason whether following functions have inverse

(i) f: {1, 2, 3, 4} → {10} with

f = {(1, 10), (2, 10), (3, 10), (4, 10)}

(ii) g: {5, 6, 7, 8} → {1, 2, 3, 4} with

g = {(5, 4), (6, 3), (7, 4), (8, 2)}

(iii) h: {2, 3, 4, 5} → {7, 9, 11, 13} with

h = {(2, 7), (3, 9), (4, 11), (5, 13)}

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State with reason whether following functions have inverse

(i) f: {1, 2, 3, 4} → {10} with

f = {(1, 10), (2, 10), (3, 10), (4, 10)}

(ii) g: {5, 6, 7, 8} → {1, 2, 3, 4} with

g = {(5, 4), (6, 3), (7, 4), (8, 2)}

(iii) h: {2, 3, 4, 5} → {7, 9, 11, 13} with

h = {(2, 7), (3, 9), (4, 11), (5, 13)}

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