[4 marks sum]

Question 14 Marks

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

Answer

45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]
= 45 - [38 - {60 ÷ 3 - (6 - 3)÷ 3}]
= 45 - [38 - {20 - 3 ÷ 3}]
= 45 - [38 - {20 -1}]
= 45 - [38 - 19]
= 45 - 19
= 26

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Question 24 Marks

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

Answer

$\begin{aligned} & 27-[13+\{4-(8+4-\overline{1+3}\}] \\ & =27-[13+\{4-(8+4-4)\}] \\ & =27-[13+\{4-8\}] \\ & =27-[13+(-4)] \\ & =21-[9] \\ & =27-9 \\ & =18\end{aligned}$

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Question 34 Marks

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

Answer

$\begin{aligned} & 35-[15+\{14-(13+\overline{2-1+3})\}] \\ & =35-[15+14-(13+4)] \\ & =35-[15+14-(13+4\}] \\ & =35-\{15+14-17] \\ & =35-15-14+17 \\ & =35+17-15-14 \\ & =52-29 \\ & =23\end{aligned}$

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Question 44 Marks

Evaluate: 18 -(20 - 15 ÷ 3)

Answer

$\begin{aligned} & 18-(20-15 \div 3) \\ & =18-\left(20-\frac{15}{3}\right) \\ & =18-(20-5) \\ & =18-20+5 \\ & =18+5-20 \\ & =23-20 \\ & =3\end{aligned}$

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Question 54 Marks

Verify: {(-15) – 8} x -6 = (-15) x (-6) – 8 x (-6)

Answer

{(-15) – 8} x -6 = (-15) x (-6) – 8 x (-6)
L.H.S. = {(-15)-8} x-6
= {-15-8} x-6
= {-23} x-6
= -23 x- 6
= 138
R.H.S. = (-15) x (-6) – 8 x (-6)
= -6 x (-15-8)
= -6 x -23
= 138
Hence, L.H.S. = R.H.S

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Question 64 Marks

Verify: {7 – (-7)} x 7 = 7 x 7 – (-7) x 7

Answer

{7 – (-7)}. x 7 = 7 x 7 – (-1) x 7
L.H.S. = {7 – (-7)} x 7
= {7 + 7} x 7
= {14} x 7
= 14 x 7
= 98
R.H.S. = 7 x 7 – (-7) x 7
=7 x 7+7 x 7
= 7 x (7 + 7)
= 7 x (14)
= 98
Hence, L.H.S. = R.H.S.

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Question 74 Marks

Verify: (-82) x {(-4) + 19} = (-82) x (-4) + (-82) x 19

Answer

(-82) x {(-4) + 19} = (-82) x (-4) + (-82) x 19
L.H.S. = (-82) x {(-4) + 19}
= (-82) x {-4 + 19}
= (-82)x {15}
= -82 x 15
= - 1230
R.H.S. = (-82) x (-4) + (-82) x 19
= -82 x (-4 + 19)
= -82 x 15
=-1230
Hence, L.H.S. = R.H.S

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Question 84 Marks

Verify: 37 x {8 +(-3)} = 37 x 8 + 37 x – (3)

Answer

37 x {8 + (-3)} = 37 x 8 + 37 x – (3)
L.H.S. = 37 x {8 + (-3)}
= 37 x {8-3}
= 37 x {5}
= 37 x 5
= 185
R.H.S. = 37 x 8 + 37 – 3
= 37 x (8 – 3)
= 37 x 5
= 185
Hence, L.H.S. = R.H.S.

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Question 94 Marks

Evaluate: 1925 x 101 – 1925

Answer

1925 x 101 – 1925
= 1925 x (101 – 1) (Distributive property)
= 1925 x 100 = 192500

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MATHS [4 marks sum]

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