Tag: concept of directed numbers and number line

Questions Related to concept of directed numbers and number line

Evaluate: $145-(-89)=$

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $234$

  2. $56$

  3. $-234$

  4. $-56$

Show answer
Correct Option: A
Explanation:

Given that 

We have to find the  value of given expression
$145-(-89)$
we know that $(-) \times (-) = +$
and  $(+) \times (-) = -$
$=145+89$
$=234$
So option $A $ is correct

$-34-(-56)-(-67)=?$

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $0$

  2. $80$

  3. $89$

  4. $-89$

Show answer
Correct Option: C
Explanation:

Given that 

We have to find the  value of given expression
$-34-(-56)-(-67)$
we know that $(-) \times (-) = +$
$=-34+56+67$
$=32+67$
$ = 89$
So option $C $ is correct

Calculate $-46-(-67)=$

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $21$

  2. $-21$

  3. $22$

  4. $46$

Show answer
Correct Option: A
Explanation:

Given that 

We have to find the  value of given expression
$-46-(-67)$
we know that $(-) \times (-) = +$
and  $(+) \times (-) = -$
$=-46+67$
$ = 21$
So option $A$ is correct

Find additive inverse of (-7).

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $-7$

  2. $0$

  3. $7$

  4. $6$

Show answer
Correct Option: C
Explanation:
Let additive inverse of $-7$ be $x$.
$-7+x = 0$

$\therefore x = 7$

Calculate $-98-56=?$

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $-154$

  2. $154$

  3. $42$

  4. $-42$

Show answer
Correct Option: A
Explanation:

Given that 

We have to find the  value of given expression
$-98-56$
we know that $(-) \times (-) = +$
and  $(+) \times (-) = -$
$-98-56$
$ = -154$
So option $A$ is correct

The additive inverse of $(-9+11)$ is :

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $-2$

  2. $3$

  3. $9$

  4. $-11$

Show answer
Correct Option: A
Explanation:

$(-9 + 11) = 2$


Let additive inverse of $2$ be $x$.
$2+x = 0$

$\therefore x = -2$

Addition of integer and its additive inverse is

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. Zero

  2. double the number

  3. half the number

  4. none

Show answer
Correct Option: A
Explanation:

Additive inverse of an integer is a number which is of opposite sign and when added to the integer, gives zero.

Thus, Addition of integer and its additive inverse is Zero.

$3 - (-3) = ?$.

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $0$

  2. $-6$

  3. $6$

  4. $3$

Show answer
Correct Option: C
Explanation:
In the given equation  $3 - \left( { - 3} \right)$
We know that $ -  \times  -  =  + $
So,

$ = 3 + 3$

$ =6$

Hence, the solution is $6$


Fill in the blanks.
(i) The additive identity of the integers is   P .
(ii) The integer which is 8 less than -24 is   Q  .
(iii) Every integer less than zero is   R  .
P    Q     R

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. 0 $\space$ -32 $\space$ negative

  2. 1 $\space$ -32 $\space$ positive

  3. 0 $\space$ -16 $\space$ negative

  4. 1 $\space$ -32 $\space$ negative

Show answer
Correct Option: A
Explanation:

(i) Additive identity of the integers is 0.
(ii) 8 less than -24 = -24 - 8 = -32
(iii) Every integer less than zero is negative. 

Which integer is the additive inverse of itself?

maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

  1. $-1$

  2. $1$

  3. $0$

  4. $2$

Show answer
Correct Option: C
Explanation:

Additive inverse of number is that when added to a number it results in $0$

Additive inverse of itself= $a+0=0$
Therefore $a=0$
Hence the correct answer is option C.