Question 12 Marks
If $a \times (-1) = -30$, is the integer a positive or negative?
AnswerWhen multiplied by $‘a’$ negative integer, a gives a negative integer.
Hence,$ ‘a’$ should be a positive integer. $a = 30$
View full question & answer→Question 22 Marks
Find the value of: $(-15)+4\div(5-3)$
Answer$(-15)+4\div(5-3)$
$=-15+4\div2$
$=-15+2$
$=-13$
$-15+4\div(5-3)=-13$
View full question & answer→Question 32 Marks
Find the value of:
$(-20)\times(-1)+(-28)\div7$
Answer $(-20)\times(-1)+(-28)\div7$
$=20+\frac{|-28|}{|7|}$
$=20-\frac{28}{7}$
$=20-4$
$=16$
View full question & answer→Question 42 Marks
Find the value of: $16+8\div4-2\times3$
Answer$16+8\div4-2\times3$
$=16+2-6$
$=18-6$
$=12$
$\therefore16+8\div4-2\times3=12$
View full question & answer→Question 52 Marks
State which is greater: $(8 - 9) \times 10$ and $8 - 9 \times 10$
Answer$\Rightarrow (8 - 9) \times 10 = -1 \times 10$
$\Rightarrow (8 - 9) \times 10 = -10$
$\Rightarrow 8 - 9 \times 10 = 8 - 90$
$ = -82 (8 - 9) \times 10 > 8 - 9 \times 10$
View full question & answer→Question 62 Marks
Simplify the following: $3-(5-6\div3)$
Answer$3-(5-6\div3)$
$=3-(5-2)$
$=3-3$
$=0$
$\therefore3-(5-6\div3)=0$
View full question & answer→Question 72 Marks
State which is greater: ${(-2) - 5} \times (-6)$ and $(-2) - 5 \times (-6)$
Answer$((-2) - 5) \times -6 = (-7) \times (-6) $
$= (7 \times 6) = 42 (-2) - 5 \times (-6) $
$= -2 + (5 \times 6) = 30 - 2 = 28$
Therefore, $((-2) - 5\times (-6)) > (-2) - 5 \times (-6)$
View full question & answer→Question 82 Marks
Find of the following products:
$(-2) \times (-4) \times (-6) \times (-8)$
Answer$(-2) \times (-4) \times (-6) \times (-8)$
$= (2 \times 4) \times (6 \times 8)$
$= (8 \times 48)$
$= 384$
View full question & answer→Question 92 Marks
Find the value of:
$28-5\times6+2$
Answer $28-5\times6+2$
$=28-(5\times6)+2$
$=28-30+2$
$=30-30$
$=0$
View full question & answer→Question 102 Marks
Simplify the following: $-25+14\div(5-3)$
Answer$-25+14\div(5-3)$
$=-25+14\div(2)$
$=-25+\frac{14}{2}$
$=-25+7$
$=-18$
$\therefore-25+14\div(5-3)=-18$
View full question & answer→Question 112 Marks
Find the value of: $21-12\div3\times2$
Answer$21-12\div3\times2$
$=21-\frac{12}{3}\times2$
$=21-4\times2$
$=21-8$
$=13$
View full question & answer→Question 122 Marks
Find of the following products: $3 \times (-8) \times 5$
AnswerWe have, $3 \times (-8) \times 5 = -(3 \times 8) \times 5 = (-24) \times 5 = -(24 \times 5) = -120$
View full question & answer→Question 132 Marks
Find the value of: $(-3)+(-8)\div(-4)-2\times(-2)$
Answer$(-3)+(-8)\div(-4)-2\times(-2)$
$=(-3)+\frac{(-8)}{(-4)}-2\times(-2)$
$=-3+2+4$
$=6-3$
$=3$
View full question & answer→Question 142 Marks
Find the value of: $(-3)\times(-4)\div(-2)+(-1)$
Answer$(-3)\times(-4)\div(-2)+(-1)$
$=12\div(-2)+(-1)$
$=-6-1$
$=-7$
$\therefore(-3)\times(-4)\div(-2)+(-1)=-7$
View full question & answer→Question 152 Marks
State which is greater:
$(8 + 9) × 10$ and $8 + 9 × 10$
Answer$\Rightarrow (8 + 9) \times 10 = 17 \times 10$
$\Rightarrow (8 + 9) \times 10 = 170$
$\Rightarrow 8 + 9 \times 10 = 8 + 90 = 98$
$(8 + 9) \times 10 > 8 + 9 \times 10$
View full question & answer→Question 162 Marks
If $a \times (-1) = 30$, is the integer a positive or negative?
AnswerWhen multiplied by $‘a’$ negative integer, a gives a positive integer.
Hence, $‘a’$ should be a negative integer. $a = -30$
View full question & answer→Question 172 Marks
Find of the following products: $9 \times (-3) \times (-6)$
AnswerWe have, $9\times (-3) \times (-6) = -(9 \times 3) \times (-6) = (-27) \times (-6) = +(27 \times 6) = 162$
View full question & answer→Question 182 Marks
Find the value of: $3-(5-6\div3)$
Answer$3-(5-6\div3)$ $=3-(5-2)$ $=3-3$ $=0$
View full question & answer→Question 192 Marks
Verify the following: $19 \times {7 + (-3)} = 19 \times 7 + 19 \times (-3)$
Answer$L.H.S = 19 \times (7+ (-3)) = 19 \times (7 - 3) = 19 \times 4 = 76$
$R.H.S = 19 \times 7 + 19 \times (-3) = 133 - 57 = 76$
Therefore, $L.H.S = R.H.S$
View full question & answer→Question 202 Marks
Find the value of: $(-40)\times(-1)+(-28)\div7$
Answer$(-40)\times(-1)+(-28)\div7$ $=40+(-4)$ $=40-4$ $=36$
View full question & answer→Question 212 Marks
Find of the following products: $(-2) \times 36 \times (-5)$
AnswerWe have, $(-2) \times 36 \times (-5) = -(2 \times 36) \times (-5) = (-72) \times (-5) = (72 \times 5) = 360$
View full question & answer→Question 222 Marks
A group of trees had a squirrel nests hiding 99 acorns. How many acorns were in each nest?
Question 232 Marks
In a class test 3 marks are given for every correct answer and 2 marks are deducted for every in correct answer and no marks for not attempting any question.
(i) Ishita scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?
(ii) Isha scored -5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?
Question 242 Marks
The product of two integers is 195 . If one integer is -15 , find the other integer.
Question 252 Marks
Raman decided to go for trekking during a long week end. He took 128 minutes to trek 16 km . How much time did he take for trekking 1 km ?
Question 262 Marks
(i) If $a \times(-1)=-30$, is the integer $a$ positive or negative?
(ii) If $a \times(-1)=30$, is the integer $a$ positive or negative?
Answer(i) positive
(ii) negative
View full question & answer→Question 272 Marks
Find the following product:
$(-2) \times(-4) \times(-6) \times(-8)$
View full question & answer→Question 282 Marks
Find the following product:
$(-2) \times 36 \times(-5)$
View full question & answer→Question 292 Marks
Find the following product:
$9 \times(-3) \times(-6)$
View full question & answer→Question 302 Marks
Find the following product:
$3 \times(-8) \times 5$
View full question & answer→Question 312 Marks
Determine the product:
$125 \times(-8)$
View full question & answer→Question 322 Marks
Determine the product:
$(-25) \times(-9)$
View full question & answer→Question 332 Marks
Determine the product:
$(-15) \times 8$
View full question & answer→Question 342 Marks
Determine the product:
$12 \times 7$
View full question & answer→Question 352 Marks
The difference of integer -23 from as integer $a$ is -14 . Find the value of $a$.
View full question & answer→Question 362 Marks
The sum of two integers is -70 . If one of the integers is 37 , determine the other.
Question 372 Marks
Subtract the sum of -1135 and 947 from -65.
Question 382 Marks
Subtract - 254 from the sum of -127 and 243.
Question 392 Marks
Find the additive inverse of each of the integer:
-2594
Question 402 Marks
Find the additive inverse of each of the integer:
$0$
View full question & answer→Question 412 Marks
Find the additive inverse of each of the integer:
348
Question 422 Marks
Find the additive inverse of each of the integer:
-94
Question 432 Marks
Point $P$ on a mountain is 7540 metre above the sea level and a point $Q$ in a mine is 58,900 metre below the sea level. If a point $R$ is 1150 metre below point $Q$. How much is the distance between points $P$ and $R$ ?
View full question & answer→Question 442 Marks
A submarine was 6735 metre below sea level. If it ascends 2154 metre, what is its new position?
Question 452 Marks
Yashvi deposited $₹ 25,000$ in her bank account on Tuesday. On Thursday she withdraw $₹ 12,800$ to buy a mobile phone. On Saturday she again deposited $₹ 32,700$ in her account. What is the balance in her account on Monday.
View full question & answer→Question 462 Marks
If the sum of -9 and $a$ is -5 , find the additive inverse of $a$.
View full question & answer→Question 472 Marks
Evaluate: 50 x (- 33) + 50 x (-17)
Question 482 Marks
Evaluate: $(180 \div 30) \times-4$
View full question & answer→Question 492 Marks
Evaluate: 125 x (-8) + 125 x (-12)
Question 502 Marks
Evaluate: (-3) x (- 3) x (- 3) __________ taken 5 times
Question 512 Marks
Evaluate: 1563 x 99 – (- 1563)
Question 522 Marks
Evaluate: 76 x (-18) +76 x 18