Selina solutions concise mathematica class 7 icse Solutions for Chapter 1 integers

Q1) Evaluate:

(i) 427\times8+2\times427

(ii) 394\times12+394\times\left(-2\right)

(iii) 558\times27+3\times558

Q2) Evaluate:

(i) 673\times9+673

(ii) 1925\times101-1925

Q3) Verify:

(i) 37\times\left\{8+\left(-3\right)\right\}=\ 8+37\times-\left(3\right)

(ii) \left(-82\right)\times\left\{\left(-4\right)+19\right\}=\left(-82\right)\times\left(-4\right)+\left(-82\right)\times19

(iii) \left\{7-\left(-7\right)\right\}\times7=7\times7-\left(-7\right)\times7

(iv) \left\{\left(-15\right)-8\right\}\times-6\ =\ \left(-15\right)\times\left(-6\right)-8\times\left(-6\right)

Q4) Evaluate:

(i) 15\times8

(ii) 15\times\left(-8\right)

(iii) \left(-15\right)\times8

(iv) \left(-15\right)\times\left(-8\right)

Q5) Evaluate:

(i) 4\times6\times8

(ii) 4\times6\times\left(-8\right)

(iii) 4\times\left(-6\right)\times8

(iv) \left(-4\right)\times6\times8

(v) 4\times\left(-6\right)\times\left(-8\right)

(vi) \left(-4\right)\times\left(-6\right)\times8

(vii) \left(-4\right)\times6\times\left(-8\right)

(viii) \left(-4\right)\times\left(-6\right)\times\left(-8\right)

Q6) Evaluate:

(i) 2\times4\times6\times8

(ii) 2\times\left(-4\right)\times6\times8

(iii) \left(-2\right)\times4\times\left(-6\right)\times8

(iv) \left(-2\right)\times\left(-4\right)\times6\times\left(-8\right)

(v) \left(-2\right)\times\left(-4\right)\times\left(-6\right)\times\left(-8\right)

Q7) Determine the integer whose product with ‘-1’ is:

(i) -47

(ii) 63

(iii) -1

(iv) 0

Q8) Eighteen integers are multiplied together. What will be the sign of their product, if:

(i) 15 of them are negative and 3 are positive?

(ii) 12 of them are negative and 6 are positive?

(iii) 9 of them are positive and the remaining are negative?

(iv) all are negative?

Q9) Find which one is greater?

(i) \left(8+10\right)\times15\ or\ 8+10\times15

(ii) 12\times\left(6-8\right)\ or\ 12\times6-8

(iii) \left\{\left(-3\right)-4\right\}\times\left(-5\right)\ or\ \left(-3\right)-4\times\left(-5\right)

Q10) State true or false:

(i) Product of two integers can be zero.

(ii) Product of 120 negative integers and 121 positive integers is negative.

(iii) a\times\left(b+c\right)=a\times b+c

(iv) \left(b-c\right)\times a=b-c\times a

Q1) Divide :

(i) 117 by 9

(ii) (-117) by 9

(iii) 117 by (-9)

(iv) (-117) by (-9)

(v) 225 by (-15)

(vi) (-552) \div 24

(vii) (-798) by (-21)

(viii) (-910) \div -26

Q2) Evaluate:

(i) \left(-234\right)\div13

(ii) 234\div\left(-13\right)

(iii) \left(-234\right)\div\left(-13\right)

(iv) 374\div\left(-17\right)

(v) \left(-374\right)\div17

(vi) \left(-374\right)\div\left(-17\right)

(vii) \left(-728\right)\div14

(viii) 272\div\left(-17\right)

Q3) Find the quotient in each of the following divisions: (i) 299\div23

(ii) 299\div\left(-23\right)

(iii) \left(-384\right)\div16

(iv) \left(-572\right)\div\left(-22\right)

(v) 408\div\left(-17\right)

Q4) Divide:

(i) 204 by 17

(ii) 152 by -19

(iii) 0 by 35

(iv) 0 by (-82)

(v) 5490 by 10

(vi) 762800 by 100

Q5) State true or false:

(i) 0\div32=0

(ii) 0\div\left(-9\right)=0

(iii) \left(-37\right)\div0=0

(iv) 0\div0=0

Q6) Evaluate:

(i) 42\div7+4

(ii) 12+18\div3

(iii) 19-20\div4

(iv) 16-5\times3+4

(v) 6-8-\left(-6\right)\div2

(vi) 13-12\div4\times2

(vii) 16+8\div4-2\times3

(viii) 16\div8+4-2\times3

(ix) 16-8+4\div2\times3

(x) \left(-4\right)+\left(-12\right)\div\left(-6\right)

(xi) \left(-18\right)+6\div3+5

(xii) \left(-20\right)\times\left(-1\right)+14\div7

Q1) Evaluate:

18-\left(20-15\div3\right)

Q2) Evaluate:

-15+24\div\left(15-13\right)

Q3) Evaluate:

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

Q4) Evaluate:

27-\left[13+\left\{4-\left(8+4-\overline{1+3}\right)\right\}\right]

Q5) 32-\left[43-\left\{51-\left(20-\overline{18-7}\right)\right\}\right]

Q6) 46-\left[26-\left\{14-\left(15-4\div2\times2\right)\right\}\right]

Q7) 45-\left[38-\left\{60\div3-\left(6-9\div3\right)\div3\right\}\right]

Q8)17-\left[17-\left\{17-\left(17-\overline{17-17}\right)\right\}\right]

Q9) 2550-\left[510-\left\{270-\left(90-\overline{80+7}\right)\right\}\right]

Q10) 30+\left[\left\{-2\times\left(25-\overline{13-3}\right)\right\}\right]

Q11) 88-\left\{5-\left(-48\right)\div\left(-16\right)\right\}

Q12) 9\times\left(8-\overline{3+2}\right)-2\left(2+\overline{3+3}\right)

Q13) 2-\left[3-\left\{6-\left(5-\overline{4-3}\right)\right\}\right]

Q1) The sum of two integers is -15. If one of them is 9, find the other.

Q2) The difference between an integer x and -6 is -5. Find the values of x.

Q3) The sum of two integersis 28. If one integer is -45,find the other.

Q4) The sum of two integers is-56.. If one integer is -42, find the other.

Q5) The difference between an integer x and(-9) is 6.Find all possible values of x.

Q6) Evaluate:

(i) \left(-1\right)\times\left(-1\right)\times\left(-1\right)\times…………60\ times

(ii) \left(-1\right)\times\left(-1\right)\times\left(-1\right)\times\left(-1\right)\times………………75\ times

Q7) Evaluate:

(i) \left(-2\right)\times\left(-3\right)\times\left(-4\right)\times\left(-5\right)\times\left(-6\right)

(ii) \left(-3\right)\times\left(-6\right)\times\left(-9\right)\times\left(-12\right)

(iii) \left(-11\right)\times\left(-15\right)+\left(-11\right)\times\left(-25\right)

(iv) 10\times\left(-12\right)+5\times\left(-12\right)

Q8)

(i) If x\times\left(-1\right)=-36, is x positive or negative?

(ii) If x\times\left(-1\right)=36, is x positive or negative?

Q9) Write all the integers between -15 and 15, which are divisible by 2 and 3.

Q10) Write all the integers between -5 and 5, which are divisible by 2 or 3.

Q11) Evaluate :

(i) \left(-20\right)+\left(-8\right)\div\left(-2\right)\times3

(ii) \left(-5\right)-\left(-48\right)\div\left(-16\right)+\left(-2\right)\times6

(iii) 16+8\div4-2\times3

(iv) 16\div8\times4-2\times3

(v) 27-\left[5+\left\{28-\left(29-7\right)\right\}\right]

(vi) 48-\left[18-\left\{16-\left(5-\overline{4+1}\right)\right\}\right]

(vii) -8-\left\{-6\left(9-11\right)+18\div\left(-3\right)\right\}

(viii) \left(24\div\overline{12-9}-12\right)-\left(3\times8\div4+1\right)

Q12) Find the result of subtracting the sum of all integers between 20 and 30 from the sum of all integers from 20 to 30.

Q13) Add the product of (-13) and (-17) to the quotient of (-187) and 11.

Q14) The product of two integers is -180. If one of them is 12, find the other.

Q15)

(i) A number changes from-20 to 30. What is the increase or decrease in the number ?

(ii) A number changes from 40to -30. What is the increase or decrease in the number ?