Question 11 Mark
Find an integer x such that:
$7 + x = 0$
$7 + x = 0$
Answer
View full question & answer→$7 + x = 0$
$\Rightarrow 7 + x - 7 = 0 - 7$
$x = -7$
$\Rightarrow 7 + x - 7 = 0 - 7$
$x = -7$
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Question 21 Mark
Find the value of: $(-1) + (-304) + 304 + 304 + (-304) + 1$
Answer
View full question & answer→$(-1) + (-304) + 304 + 304 + (-304) + 1 = -1 + 1 - 304 + 304 - 304 + 304 = 0$
Question 31 Mark
Find the predecessor of each of the following integers:-$125$
Answer
View full question & answer→Predecessor of $-125$ is $= -125 - 1 = -126$
Question 41 Mark
Write the absolute value of the following: $a - 7$, if a is greater than $7$
Answer
View full question & answer→Absolute value of $(a - 7)$ is $(a - 7)$ if a is greater than $7$, that is, $a - 7 > 0.$
Question 51 Mark
Replace * by $'<'$ or $'>'$ in each of the following to make the statement true: $28 - (-10) * (-16) - (-76)$
Answer
View full question & answer→$28 - (-10) < (-16) - (-76) 30 < 60$
Question 61 Mark
Subtract the first integer from the second of the following:$-12, 8$
Answer
View full question & answer→In order to subtract $-12$ from $8, 8 – (–12) = 8 + 12 = 20.$
Question 71 Mark
The largest negative integer is .
Answer
View full question & answer→The numbers $.... -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, .....$ form the set of integers.
Thus, the largest negative integer is $− 1.$
Thus, the largest negative integer is $− 1.$
Question 81 Mark
How many integers are between? $-4$ and $3$
Answer
View full question & answer→Integers between $-4$ and $3$ are $-3, -2, -1, 0, 1, 2$.
$\therefore$ No of integers between $-4$ and $3$ are $6.$
$\therefore$ No of integers between $-4$ and $3$ are $6.$
Question 91 Mark
Find the successor of the following integers:
$0$
$0$
Answer
View full question & answer→Successor of $0$ is $= 0 + 1$
$= 1$
$= 1$
Question 101 Mark
Which of the following statements are true:
The negative of a negative integer is positive.
The negative of a negative integer is positive.
Answer
View full question & answer→For example:$ -(-2) = 2$
Question 111 Mark
$(-3)(-4)(12)(-1) =$ ............
Answer
View full question & answer→$(-3)(-4)(12)(-1) = (-3)(-4)(-12)$
[$\because$ $(12)(-1) = (-12)] = (-3)(48)$
[$\because$ $(-4)(-12) = 48] = -(3 × 48) = -144$
Hence, $(-3)(-4)(12)(-1) = -144$
[$\because$ $(12)(-1) = (-12)] = (-3)(48)$
[$\because$ $(-4)(-12) = 48] = -(3 × 48) = -144$
Hence, $(-3)(-4)(12)(-1) = -144$
Question 121 Mark
Find the additive inverse of the following integers: $52$
Answer
View full question & answer→Additive inverse of $52$ is $-52.$
Question 131 Mark
Using the number line, write integer which is: $5$ less than $3$
Answer
View full question & answer→We want an integer five less than $3.$ So, on the number line, we will start from $3$ and move $5$ units to the left to obtain $-2$, as shown on the number line.
Question 141 Mark
Write the opposite of the following: $25$
Answer
View full question & answer→$-25$
Question 151 Mark
Write the following integers in decreasing order: $-15, 0, -2, -9, 7, 6, -5, 8$
Answer
View full question & answer→$8, 7, 6, 0, 2, -5, -9, -15$
Question 161 Mark
Which of the following statements are true: If a and b are two integers such that $a > b$, then a $- b$ is always positive integer,
Answer
View full question & answer→$a > b$
Question 171 Mark
Write the absolute value of each of the following: $-|-5|$
Answer
View full question & answer→$-|-5|$ is $-5$ and its absolute value is $5.$
Question 181 Mark
Write all integers between: $-7$ and $3$
Answer
View full question & answer→Integers between $-7$ and $3$ are $-6, -5, -4, -3, -2, -1, 0, 1, 2.$
Question 191 Mark
Replace * by $'<'$ or $'>'$ in each of the following to make the statement true: $(-20) - (-20) * 20 - (65)$
Answer
View full question & answer→$(-20) - (-20) > 20 - (65) 0 > -45$
Question 201 Mark
Indicate the following by using intergers:
$3\ km$ above sea level
$3\ km$ above sea level
Answer
View full question & answer→$3\ km$ above sea level $= +3$
Question 211 Mark
Write the absolute value of the following: $14$
Answer
View full question & answer→Absolute value of $14$ is $14.$
Question 221 Mark
Find the additive inverse of each of the following integers:$1$
Answer
View full question & answer→Additive inverse of $1$ is $-1.$
Question 231 Mark
Which of the following statements are true: $-13 > -8 - (-2)$
Answer
View full question & answer→It should be $-13 < -8 + 2 = -6$
Question 241 Mark
Find the predecessor of each of the following integers:$1$
Answer
View full question & answer→Predecessor of $1$ is $= 1 - 1 = 0$
Question 251 Mark
Replace * of the following by $<$ or $>$ so that the statement is true: $0 * -7$
Answer
View full question & answer→$0 > -7$
Question 261 Mark
Find the predecessor of each of the following integers: $0$
Answer
View full question & answer→Predecessor of $0$ is $= 0 - 1 = -1$
Question 271 Mark
Find an integer $x$ such that: $x + (-8) = 0$
Answer
View full question & answer→$x + (-8) = 0 \Rightarrow x - 8 = 0 \Rightarrow x - 8 + 8 = 0 + 8$ [adding 8 on both sides] $x = 8$
Question 281 Mark
Which number of the following pairs is smaller? $-15, -27$
Answer
View full question & answer→We know that on the number line $-27$ is to left of $-15.$ So $-27 < -15 -27$ is smaller.
Question 291 Mark
Write the absolute value of each of the following: $a + 4,$ if a is greater than $-4$
Answer
View full question & answer→Absolute value of $(a + 4)$ is $(a + 4)$ if a is greater than $-4$, that is, $a > -4 \Rightarrow a + 4 > 0.$
Question 301 Mark
$(-1)(-1)(-1)(-1)(-1) =$ ............
Answer
View full question & answer→Here, $-1$ is multiplied $5$ times and since, $5$ is an odd integer, therefore $(-1)(-1)(-1)(-1)(-1) = -1$
Question 311 Mark
Indicate the following by using intergers:
$25^\circ $ above zero
$25^\circ $ above zero
Answer
View full question & answer→$25^\circ $ above zero is $= +25^\circ $
Question 321 Mark
Which number in each of the following pairs is larger? $12, -18$
Answer
View full question & answer→We know that on the number line $-18$ is to left of $12.$ So $12 > -18 12$ is larger.
Question 331 Mark
Replace * by $'<'$ or $'>'$ in each of the following to make the statement true:
$(-12) - (-12) * (-12) + (-12)$
$(-12) - (-12) * (-12) + (-12)$
Answer
View full question & answer→$(-12) - (-12) > (-12) + (-12)$
$0 > -24$
$0 > -24$
Question 341 Mark
Which number in each of the following pairs is larger? $3, -4$
Answer
View full question & answer→We know that on the number line $3$ is to right of $-4.$ So $3 > -4. 3$ is larger.
Question 351 Mark
Which of the following statements are true? Zero is not an integer.
Answer
View full question & answer→$0$ is simply an integer that is neither positive nor negative.
Question 361 Mark
The smallest positive integer is .
Answer
View full question & answer→The collection ..... $-4, -3, -2, -1, 0, 1, 2, 3, 4,$ ..... forms the set of integers.
Thus, the smallest positive integer is $1.$
Thus, the smallest positive integer is $1.$
Question 371 Mark
Find the successor of the following integers:$-99$
Answer
View full question & answer→Successor of $-99$ is $= -99 + 1 = -98$
Question 381 Mark
Replace * of the following by $<$ or $>$ so that the statement is true:$ -235 * -532$
Answer
View full question & answer→$-235 > -532$
Question 391 Mark
How many integers are between? $5$ and $12$
Answer
View full question & answer→Integers between $-9$ and $-2$ are $-8, -7, -6, -5, -4, -3.$
$\therefore$ No of integers between $-9$ and $-2$ are $6.$
$\therefore$ No of integers between $-9$ and $-2$ are $6.$
Question 401 Mark
Write the opposite of the following:
Increase in population.
Increase in population.
Answer
View full question & answer→ Decrease of population.
Question 411 Mark
Write all integers between: $-2$ and $2$
Answer
View full question & answer→Integers between $-2$ and $2$ are $-1, 0, 1.$
Question 421 Mark
Write the opposite of the following: Going North
Answer
View full question & answer→Going South
Question 431 Mark
Write the absolute value of the following:$-248$
Answer
View full question & answer→Absolute value of $-248$ is $248.$
Question 441 Mark
Write all integers whose absolute values are less than $5.$
Answer
View full question & answer→Integers whose absolute values less than $5$ are: $-4, -3, -2, -1, 0, 1, 2, 3, 4.$
Question 451 Mark
Find an integer $x$ such that: $x + 0 = 0$
Answer
View full question & answer→$x + 0 = 0 x = 0$
Question 461 Mark
Write the absolute value of each of the following: $a + 4$, if a is less than $-4$
Answer
View full question & answer→Value of $(a + 4)$ is $-(a + 4)$ if a is less than $-4$, that is, $a < -4 \Rightarrow a + 4 < 0.$
Question 471 Mark
Mark the following integers on a number line:
$i.\ 7$
$ii.\ -4$
$iii.\ 0$
$i.\ 7$
$ii.\ -4$
$iii.\ 0$
Answer
View full question & answer→Integers are as shown in the number line.
Question 481 Mark
Indicate the following by using intergers: A profit of $Rs. 800$
Answer
View full question & answer→A profit of $800 = +800$
Question 491 Mark
Replace * by $'<'$ or $'>'$ in each of the following to make the statement true: $(-6) + (-9) * (-6) - (-9)$
Answer
View full question & answer→$(-6) + (-9) < (-6) - (-9) -15 < 3$
Question 501 Mark
Replace * of the following by $<$ or $>$ so that the statement is true: $-8 * 15$
Answer
View full question & answer→$-8 < 15$