Question 511 Mark
Write all integers between: $0$ and $3$
Answer
View full question & answer→Integers between $0$ and $3$ are $1, 2.$
Questions · Page 2 of 3
1 Marks Question
Question 521 Mark
Which of the following statements are true:
$-4 + (-2) < 2$
$-4 + (-2) < 2$
Answer
View full question & answer→$-4 - 2 = -6 < 2$
Question 531 Mark
Find the value of: $1 + (-475) + (-475) + (-475) + (-475) + 1900$
Answer
View full question & answer→$1 - 475 - 475 - 475 + 1900 = 1 - 950 - 950 + 1900 = 1900 + 1 - 1900 = 1$
Question 541 Mark
Following statement are true? The sum of a number and its opposite zero.
Answer
View full question & answer→It is the definition of additive inverse; for example, $5 + (−5) = 0.$
Question 551 Mark
Subtract the first integer from the second of the following:-$812, 3126$
Answer
View full question & answer→$3126 - (-812) = 3126 + 812 = 3938.$
Question 561 Mark
Subtract the first integer from the second of the following:$-225, -135$
Answer
View full question & answer→$-135 – (-225) = 225 - 135 = 90$
Question 571 Mark
Replace * of the following by $<$ or $>$ so that the statement is true: $-20 * 20$
Answer
View full question & answer→$-20 < 20$
Question 581 Mark
How many integers are between? $0$ and $5$
Answer
View full question & answer→Integers between $0$ and $5$ are $1, 2, 3, 4.$
$\therefore$ No of integers between $0$ and $5$ are $4.$
$\therefore$ No of integers between $0$ and $5$ are $4.$
Question 591 Mark
Write the absolute value of the following:$0$
Answer
View full question & answer→Absolute value of $0$ is $0.$
Question 601 Mark
Find an integer $x$ such that: $x + 1 = 0$
Answer
View full question & answer→$x +1 = 0 \Rightarrow x + 1 - 1 = 0 - 1$ [subtract $-1$ on both sides] $\Rightarrow x = -1$
Question 611 Mark
Which of the following is false:
$|4 - 2| = |4| - |2|$
$|4 - 2| = |4| - |2|$
Answer
View full question & answer→$|4 - 2| = 2 = |4| - |2| = 2;$ True
Question 621 Mark
Write the following integers in decreasing order:
$-154, 123, -205, -89, -74$
$-154, 123, -205, -89, -74$
Answer
View full question & answer→$124, -74, -89, -154, -205$
Question 631 Mark
Replace * of the following by $<$ or $>$ so that the statement is true: $2 * 5$
Answer
View full question & answer→$2 < 5$
Question 641 Mark
Find the value of:
$-27 - (-23)$
$-27 - (-23)$
Answer
View full question & answer→$-27 - (-23) = -27 + 12$
$= 23 - 27$
$= -4$
$= 23 - 27$
$= -4$
Question 651 Mark
Find an integer $x$ such that: $x + 5 = 0$
Answer
View full question & answer→$x + 5 = 0 \Rightarrow x + 5 - 5 = 0 - 5$ [subtract $-5$ on both sides] $\Rightarrow x + 0 = -5 x = -5$
Question 661 Mark
Write the absolute value of the following:$-125$
Answer
View full question & answer→Absolute value of $-125$ is $125.$
Question 671 Mark
Find the value of: $-17 - 18 - (-35)$
Answer
View full question & answer→$-17 - 18 - (-35) = -35 + 35 = 0$
Question 681 Mark
Find the successor of the following integers: $-1$
Answer
View full question & answer→Successor of $-1$ is $= -1 + 1 = 0$
Question 691 Mark
Find an integer $x$ such that: $-3 + x = 0$
Answer
View full question & answer→$-3 + x = 0 \Rightarrow 3 - 3 + x = 0 + 3$ [adding $3$ on both sides] $x = 3$
Question 701 Mark
Replace * of the following by $<$ or $>$ so that the statement is true:
$0 * 3$
$0 * 3$
Answer
View full question & answer→$0 < 3$
Question 711 Mark
Subtract the first integer from the second of the following:$7560, -8$
Answer
View full question & answer→$-8 - 7560 = -7568$
Question 721 Mark
Find the additive inverse of the following integers: $-176$
Answer
View full question & answer→Additive inverse of $-176$ is $176.$
Question 731 Mark
Which of the following statements are true? The opposite of zero is zero.
Answer
View full question & answer→True.Solution:
$0$ is neither positive nor negative.
$0$ is neither positive nor negative.
Question 741 Mark
Using the number line, write integer which is: $4$ more than $-9$
Answer
View full question & answer→We want an integer four more than $−9.$ So, on the number line, we will start from $−9$ and move $4$ units to the right to obtain $−5$, as shown on the number line. 
Question 751 Mark
Write the following integers in increasing order: $-8, 5, 0, -12, 1, -9, 15$
Answer
View full question & answer→$-12, -9 , -8, 0, 1, 5, 15.$
Question 761 Mark
Write $4$ negative integers less than $-10.$
Answer
View full question & answer→$-9, -8, -7$ and $-6$ are the four negative integers less than $-10.$
Question 771 Mark
Write the opposite of the following: $-15$
Answer
View full question & answer→$15$
Question 781 Mark
Write the absolute value of each of the following:
$a - 7$, if a $- 2$ is less than $7$
$a - 7$, if a $- 2$ is less than $7$
Answer
View full question & answer→If $a - 2$ is less than $7$, that is, $a - 2 < 7 ⇒ a < 9$ or $a - 7 < 2$
So absolute value of $a - 7 = a - 7$ if $7 < a < 9$ that is $a - 2$ is less than $7$ but $a - 2$ is greater than $5.$
and absolute value will be $-(a - 7)$ if $a < 7$ if $a - 7$ is less than $5.$
So absolute value of $a - 7 = a - 7$ if $7 < a < 9$ that is $a - 2$ is less than $7$ but $a - 2$ is greater than $5.$
and absolute value will be $-(a - 7)$ if $a < 7$ if $a - 7$ is less than $5.$
Question 791 Mark
Indicate the following by using intergers: $5^\circ $ below zero
Answer
View full question & answer→$5^\circ $ below zero is $= -5^\circ $
Question 801 Mark
The sum of two integers is $-233$. If one of the integers is $172$, find the other.
Answer
View full question & answer→Required integer $= -223 - 172$
$= -395$
$= -395$
Question 811 Mark
Which number of the following pairs is smaller? $0, -4$
Answer
View full question & answer→since $'0'$ is greater than all negative integers. Therefore, $-4 < 0 -4$ is smaller.
Question 821 Mark
Which number of the following pairs is smaller?
$-3, 13$
$-3, 13$
Answer
View full question & answer→Every positive integer is greater than every negative integer.Therefore, $-3 < 12$
$-3$ is smaller.
$-3$ is smaller.
Question 831 Mark
Which number of the following pairs is smaller? $8, 13$
Answer
View full question & answer→We know that on the number line $8$ is to left of $13$. So $8 < 13 8$ is smaller.
Question 841 Mark
Write the absolute value of each of the following:
$|12 - 5|$
$|12 - 5|$
Answer
View full question & answer→$|12 - 5 | = | 7|$ and its absolute value is $7.$
Question 851 Mark
Write the opposite of the following: Gaining a weight of $4\ kg$
Answer
View full question & answer→Losing weight of $4\ kg$
Question 861 Mark
Write the opposite of the following:
Earning money
Earning money
Answer
View full question & answer→ Spending money
Question 871 Mark
How many integers are between? $5$ and $12$
Answer
View full question & answer→Integers between $5$ and $12$ are $6, 7, 8, 9, 10, 11.$
$\therefore$ No of integers between $5$ and $12$ are $6.$
$\therefore$ No of integers between $5$ and $12$ are $6.$
Question 881 Mark
Write the absolute value of each of the following: $|-3|$
Answer
View full question & answer→Absolute value of $-3$ is $3.$
Question 891 Mark
Subtract the first integer from the second of the following:-$3978, -4109$
Answer
View full question & answer→$-4109 - (-3978) = -4109 + 3978 = -131$
Question 901 Mark
Write the opposite of the following:
Depositing money in a bank.
Depositing money in a bank.
Answer
View full question & answer→ Withdrawing money from a bank.
Question 911 Mark
Indicate the following by using intergers: A deposit of $Rs. 2500$
Answer
View full question & answer→A deposit of Rs. $2500 = +2500$
Question 921 Mark
Find the additive inverse of the following integers:
$0$
$0$
Answer
View full question & answer→Additive inverse of $0$ is $0.$
Question 931 Mark
Write all integers between: $-4$ and $0$
Answer
View full question & answer→Integers between $-4$ and $0$ are $-3, -2, -1.$
Question 941 Mark
Find the predecessor of each of the following integers:$-1$
Answer
View full question & answer→Predecessor of $-1$ is $= -1 - 1 = -2$
Question 951 Mark
Write the absolute value of the following:$-25$
Answer
View full question & answer→Absolute value of $-25$ is $25.$
Question 961 Mark
Indicate the following by using intergers: $2\ km$ below sea level
Answer
View full question & answer→$2\ km$ below sea level $= -2$
Question 971 Mark
Using the number line, write integer which is: $2$ more than $3$
Answer
View full question & answer→We want an integer two more than $3$. So, on the number line, we will start from $3$ and move $2$ units to the right to obtain $5$, as shown on the number line. 
Question 981 Mark
Find the successor of the following integers: $-42$
Answer
View full question & answer→Successor of $-42$ is $= -42 + 1 = -41$
Question 991 Mark
Write $6$ negative integers just greater than $-12.$
Answer
View full question & answer→$-11, -10, -9, -8, -7$ and $-6$ are the six negative integers just greater than $-12.$
Question 1001 Mark
Subtract the first integer from the second in each of the following:$12, -5$
Answer
View full question & answer→Using the rule for sub traction, we have $-5 - 12 = –17.$