Tag: concept of directed numbers and number line

Questions Related to concept of directed numbers and number line

$-7-(-8)=$

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

  1. $15$

  2. $-15$

  3. $1$

  4. $-1$

Show answer
Correct Option: C
Explanation:

Given that 

We have to find the  value of given expression

$-7-(-8)$

we know that $(-) \times (-) = +$

and  $(+) \times (-) = -$

$=-7+8$

$=1$
So option $C $ is correct

Calculate $34-98=$

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

  1. $132$

  2. $64$

  3. $-64$

  4. $-132$

Show answer
Correct Option: C
Explanation:

Given that 

We have to find the  value of given expression
$34-98$
we know that $(-) \times (-) = +$
and  $(+) \times (-) = -$
$34-98$
$ = -64$
So option $C$ is correct

$-123-(-23)=$

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

  1. $146$

  2. $-146$

  3. $100$

  4. $-100$

Show answer
Correct Option: D
Explanation:

Given that 

We have to find the  value of given expression

$-123-(-23)$

we know that $(-) \times (-) = +$

and  $(+) \times (-) = -$

$=-123+23$

$=-100$
So option $D $ is correct

Evaluate: $23-(-123)=$

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

  1. $146$

  2. $-146$

  3. $100$

  4. $-100$

Show answer
Correct Option: A
Explanation:

Given that 

We have to find the  value of the given expression
$23-(-123)$

we know that $(-) \times (-) = +$
and  $(+) \times (-) = -$
$=23+123$
$=146$

So option $A $ is correct

$-675-(25)=$

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

  1. $0$

  2. $100$

  3. $700$

  4. $-700$

Show answer
Correct Option: D
Explanation:
The given expression $-675-(25)$ can be solved as follows: 

$(-675) + (-25)=-675-25=-1(675+25)=-700$ 

Hence, $-675-(25)=-700$.

Additive inverse of $(4\times -5)$ is

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

  1. $-20$

  2. $20$

  3. $4$

  4. $1$

Show answer
Correct Option: B
Explanation:

$(4\times -5) = -20$


Let additive inverse of $-20$ be $x$.
$-20+x = 0$

$\therefore x = 20$

Additive inverse of $(24-(-4))$ is: 

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

  1. $-28$

  2. $28$

  3. $1$

  4. $0$

Show answer
Correct Option: A
Explanation:

$(24-(-4))= 24+4 = 28$


Let additive inverse of $28$ be $x$.
$28+x = 0$

$\therefore x = -28$

The additive inverse of $\displaystyle\frac{-a}{b}$ is __________.

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

  1. $\displaystyle\frac{a}{b}$

  2. $\displaystyle\frac{b}{a}$

  3. $\displaystyle\frac{-b}{a}$

  4. None of these

Show answer
Correct Option: A
Explanation:

The additive inverse of any number $x$ is defined as

$x +y =0$
Then $y$ is the additive inverse of $x$.
Say, the additive inverse of $ -\dfrac{a}{b}$ is $z$.
$\Rightarrow  -\dfrac{a}{b} +z =0$
$\Rightarrow z= \dfrac{a}{b}$

What would be the difference between the place values of the digits at the tens and units places of a number formed by the addition of the greatest six-digit number and the smallest three-digit number?

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

  1. $81$

  2. $72$

  3. $63$

  4. $54$

Show answer
Correct Option: A
Explanation:

The greatest 6 digit number is $=999999$.

The smallest 3 digit number is$=100$.
Therefore there sum$=1000099$.
The tens place value=$90$ and units place vaue $=9$.
Therefore the difference is $81$ .

Subtracting two positive/negative integers with same sign or opposite sign is same as:

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

  1. Subtracting one positive and one negative integer

  2. Adding two positive integers

  3. Adding two negative integers

  4. Adding one positive and one negative integer

Show answer
Correct Option: D
Explanation:
Subtracting two positive integer involves in one positive and one negative number.
Let x and y be two numbers which are positive.
Subtracting one from other $x-y$ it can also written as $x+(-y)$,This is also known as adding one positive to a negative integer.