Integers — Exercise 1(C)

Evaluate :

18 - (20 - 15 ÷ 3).

Answer

Solving,

18 - (20 - 15 ÷ 3)

= 18 - (20 - 5)

= 18 - 15

= 3

∴ 18 - (20 - 15 ÷ 3) = 3

-15 + 24 ÷ (15 - 13).

Answer

Solving,

-15 + 24 ÷ (15 - 13)

= -15 + 24 ÷ 2

= -15 + 12

= -3

∴ -15 + 24 ÷ (15 - 13) = -3

35 - {15 + 14 - (13 + $\overline{2 - 1 + 3}$)}

Answer

Solving,

35 - {15 + 14 - (13 + $\overline{2 - 1 + 3}$)}

= 35 - {15 + 14 - (13 + 4)}

= 35 - {15 + 14 - 17}

= 35 - {29 - 17}

= 35 - 12

= 23

∴ 35 - {15 + 14 - (13 + $\overline{2 - 1 + 3}$)} = 23

27 - {13 + 4 - (8 + 4 - $\overline{1 + 3}$)}

Answer

Solving,

27 - {13 + 4 - (8 + 4 - $\overline{1 + 3}$)}

= 27 - {13 + 4 - (8 + 4 - 4)}

= 27 - {13 + 4 - 8}

= 27 - {17 - 8}

= 27 - 9

= 18

∴ 27 - {13 + 4 - (8 + 4 - $\overline{1 + 3}$)} = 18

32 - [43 - {51 - (20 - $\overline{18 - 7}$)}]

Answer

Solving,

32 - [43 - {51 - (20 - $\overline{18 - 7}$)}]

= 32 - [43 - {51 - (20 - 11)}]

= 32 - [43 - {51 - 9}]

= 32 - [43 - 42]

= 32 - 1

= 31

∴ 32 - [43 - {51 - (20 - $\overline{18 - 7}$)}] = 31

46 - [26 - {14 - (15 - 4 ÷ 2 × 2)}]

Answer

Solving,

46 - [26 - {14 - (15 - 4 ÷ 2 × 2)}]

= 46 - [26 - {14 - (15 - 2 × 2)}]

= 46 - [26 - {14 - (15 - 4)}]

= 46 - [26 - {14 - 11}]

= 46 - [26 - 3]

= 46 - 23

= 23

∴ 46 - [26 - {14 - (15 - 4 ÷ 2 × 2)}] = 23

45 - [38 - {60 ÷ 3 - (6 - 9 ÷ 3) ÷ 3}]

Answer

Solving,

45 - [38 - {60 ÷ 3 - (6 - 9 ÷ 3) ÷ 3}]

= 45 - [38 - {60 ÷ 3 - (6 - 3) ÷ 3}]

= 45 - [38 - {60 ÷ 3 - 3 ÷ 3}]

= 45 - [38 - {20 - 1}]

= 45 - [38 - 19]

= 45 - 19

= 26

∴ 45 - [38 - {60 ÷ 3 - (6 - 9 ÷ 3) ÷ 3}] = 26

17 - [17 - {17 - (17 - $\overline{17 - 17}$)}]

Answer

Solving,

17 - [17 - {17 - (17 - $\overline{17 - 17}$)}]

= 17 - [17 - {17 - (17 - 0)}]

= 17 - [17 - {17 - 17}]

= 17 - [17 - 0]

= 17 - 17

= 0

∴ 17 - [17 - {17 - (17 - $\overline{17 - 17}$)}] = 0

2550 - [510 - {270 - (90 - $\overline{80 + 7}$)}]

Answer

Solving,

2550 - [510 - {270 - (90 - $\overline{80 + 7}$)}]

= 2550 - [510 - {270 - (90 - 87)}]

= 2550 - [510 - {270 - 3}]

= 2550 - [510 - 267]

= 2550 - 243

= 2307

∴ 2550 - [510 - {270 - (90 - $\overline{80 + 7}$)}] = 2307

30 + [{-2 × (25 - $\overline{13 - 3}$)}]

Answer

Solving,

30 + [{-2 × (25 - $\overline{13 - 3}$)}]

= 30 + [{-2 × (25 - 10)}]

= 30 + [{-2 × 15}]

= 30 + [-30]

= 0

∴ 30 + [{-2 × (25 - $\overline{13 - 3}$)}] = 0

88 - {5 - (-48) ÷ (-16)}

Answer

Solving,

88 - {5 - (-48) ÷ (-16)}

= 88 - {5 - 3}

= 88 - 2

= 86

∴ 88 - {5 - (-48) ÷ (-16)} = 86

9 × (8 - $\overline{3 + 2}$) - 2(2 + $\overline{3 + 3}$)

Answer

Solving,

9 × (8 - $\overline{3 + 2}$) - 2(2 + $\overline{3 + 3}$)

= 9 × (8 - 5) - 2(2 + 6)

= 9 × 3 - 2 × 8

= 27 - 16

= 11

∴ 9 × (8 - $\overline{3 + 2}$) - 2(2 + $\overline{3 + 3}$) = 11

2 - [3 - {6 - (5 - $\overline{4 - 3}$)}]

Answer

Solving,

2 - [3 - {6 - (5 - $\overline{4 - 3}$)}]

= 2 - [3 - {6 - (5 - 1)}]

= 2 - [3 - {6 - 4}]

= 2 - [3 - 2]

= 2 - 1

= 1

∴ 2 - [3 - {6 - (5 - $\overline{4 - 3}$)}] = 1