Using Brackets

Q.

_{solve using BODMAS:}

_{QUES- 5+3{-34-line bracket on 16-14}÷3[17+(-3)×4-2×(-17)]}

Q.

Evaluate the following: $\left(-31\right)÷\left[\left(-30\right)+\left(-1\right)\right]$

Q.

Evaluate each of the following:

$\left(a\right)(-30)÷10$

$\left(b\right)50÷(-5)$

$\left(c\right)(-36)÷(-9)$

$\left(d\right)(-49)÷49$

$\left(e\right)13÷[-2+1]$

$\left(f\right)0÷(-12)$

$\left(g\right)(-31)÷\left[\right(-30)+(-1\left)\right]$

$\left(h\right)\left[\right(-36)÷12]÷3$

$\left(i\right)[-6+5]÷[-2+1]$

Q.

10000 ÷ { ( 80+100÷5) *100 }

Q.

Write five pairs of integers (a, b) such a ÷ b = − 3. One such pair is (6, − 2) because 6 ÷ (− 2) = (− 3).

Q.

$45-[38-\{60÷3–(6-9÷3)÷3\left\}\right]$ =

1. $26$

2. $-26$

3. $16$

4. $-16$

Q.

$7+(49÷(2\times 3+1\left)\right)–13=$

1. $-2$
2. $1$
3. $-1$
4. $2$

Q.

Which of the following is different from the others?

1. $20+(-25)$

2. $(-37)-(-32)$

3. $(-5)\times (-1)$

4. $\left(45\right)÷(-9)$

Q.

Evaluate:

(i) (-234) ÷ 13

(ii) 234 ÷ (-13)

(iii) (-234) ÷ (-13)

Q.

Simplify:
$(13\times 4)÷2–26$

Q.

$[29-(-2\left)\right\{6-(7-3)\left\}\right]÷[3\times \{5+(-3)\times (-2)\left\}\right]=0$

1. True

2. False

Q.

Solve:

[[5×{(−3)×(−4)}]÷{27 + (−14−3)}][[3×{(−4)×(−5)}]÷{27+(−13−4)}]
+[{27×(−2)}÷(−3−3)] + [{27×(−2)}÷(−3−3)]
+[{(−3)×(−3)×5}÷(−3)]]

1. 39

2. 31

3. 0

4. 27

Q.

Evaluate: $0.\overline{6}+0.\overline{3}-0.11$.

Q. Solve the following.(−200)÷(−50)−[800÷{100−((−50)−5×10)}]=

1. \N
2. 1
3. (-1)

Q.

Simplify:

(1)

(2)

(3)

(4)

(5)

(6)

Q.

Add $\frac{2}{13}$ to the reciprocal of $\frac{-26}{12}$.

1. $\frac{5}{7}$

2. $\frac{-5}{6}$

3. $\frac{6}{7}$

4. $\frac{-4}{13}$

Q.

Divide -90 by 15.

1. -4

2. 4

3. -6

4. 6

Q. Solve the following.
5+[28÷(−7)−{6×(4+1×4)}] =

1. 119
2. (-119)
3. 129
4. (-129)

Q.

Simplifyand express each of the following in exponential form:

(i) $\frac{2^3\times 3^4\times 4}{3\times 32}$

(ii) $({5^2}^3\times 5^4)÷5^7$

(iii) ${25}^4÷5^3$

(iv) $\frac{3\times 7^2\times {11}^8}{21\times {11}^3}$

(v) $\frac{3^7}{3^4\times 3^3}$

(vi) $2^0+3^0+4^0$

(vii) $2^0\times 3^0\times 4^0$

(viii) $(3^0+2^0)\times 5^0$

(ix) $\frac{2^8\times a^5}{4^3\times a^3}$

(x) $\frac{a^5}{a^3}\times a^8$

(xi) $\frac{4^5\times a^8{b}^3}{4^5\times a^5{b}^2}$

(xii) $(2^3\times 2{)}^2$

Q.

On simplification of $4\frac{1}{12}-[1\frac{3}{4}+\{2\frac{1}{2}-(\frac{1}{2}-\frac{1}{3})\left\}\right]$, we get ___

Q. Add the product of (−16) and (−9) to the quotient if (−132) by 6.

Q.

Rohit and Vinit individually took $\frac{1^{th}}{4}$and $\frac{1^{th}}{6}$ of an hour, respectively to reach their friends house. Who took more time?

Q.

Add $\frac{2}{13}$ to the reciprocal of $\frac{-26}{12}$.

1. $\frac{5}{7}$

2. $\frac{-5}{6}$

3. $\frac{-4}{13}$

4. $\frac{6}{7}$

Q.

Q. Mark (✓) against the correct answer
$0÷\frac{-7}{5}=?$

(a) not defined
(b) $\frac{-5}{7}$
(c) 0
(d) $\frac{5}{7}$

Q. Simplify each of the following:
$4+\frac{1}{5}\left[\left\{-10\times (25-\overline{13-3})\right\}÷(-5)\right]$

Q.

Solve the following by suitable rearrangement.

173 + 577 + 27

Q.

Evaluate:

$72÷\left(-8\right)$

Q. Solve the following.


(i) $\left(-16\right)\times \left(-5\right)$ (ii) $\left(72\right)÷\left(-12\right)$ (iii) $\left(-24\right)\times \left(2\right)$

(iv) $125÷5$ (v) $\left(-104\right)÷\left(-13\right)$ (vi) 25 $\times \left(-4\right)$

Q. Find the value of
(−2) + (−8) ÷ (−4)