Tag: subtraction of integers

Questions Related to subtraction of integers

Subtract $(-5)$ from $(-9) $

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

  1. $4$

  2. $-4$

  3. $-14$

  4. $14$

Show answer
Correct Option: B
Explanation:

$-9 - (-5)$

$= -9 + 5$
$= -4$

Subtract the following algebraic expressions.
$7y$ from $15y$.

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

  1. $8$

  2. $8y$

  3. $-8y$

  4. none

Show answer
Correct Option: B
Explanation:
$15y-7y = y(15-7)=8y$

Subtract the following algebraic expressions.
$4x$ from $8x$

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

  1. $4$

  2. $4x$

  3. $-4$

  4. $-4x$

Show answer
Correct Option: B
Explanation:

$8x-4x = x(8-4)=4x$

Take away $-2x$ from $19x$

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

  1. $17x$

  2. $-17x$

  3. $21x$

  4. $-21x$

Show answer
Correct Option: C
Explanation:

$19x-(-2x)$

$=19x+2x$
$=21x$

Subtract the following algebraic expressions.
$-4g$ from $-10g$

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

  1. $6$g

  2. $-14$g

  3. $-6$g

  4. $14$g

Show answer
Correct Option: C
Explanation:

$-10g-(-4g)$


$=-10g+4g$


$=g(-10+4)$

$=-g \times 6$

$=-6g$

Subtract the following algebraic expressions.
$7k$ from $-6k$

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

  1. $13$k

  2. $1$k

  3. $-1$k

  4. $-13$k

Show answer
Correct Option: D
Explanation:

$-6k-7k$


$=k(-6-7)$


$=-k(6+7)$

$=-13k$

Do the following as directed.
From $12r$ subtract $11r$

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

  1. $23r$

  2. $r$

  3. $-r$

  4. $none$

Show answer
Correct Option: B
Explanation:

$12r-11r$

$=r(12-11)$
$=r$

Do the following as directed.
Take away $15y$ from $19y$

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

  1. $-4$y

  2. $4$y

  3. $34$y

  4. $-34$y

Show answer
Correct Option: B
Explanation:

$19y-15y$

$=y(19-15)$
$=4y$

Do the following as directed.
From $21 v$ subtract $-v$

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

  1. $22v$

  2. $20v$

  3. $-20v$

  4. $-22v$

Show answer
Correct Option: A
Explanation:

$21v-(-v)$


$=21v+v$


$=v(21+1)$

$=22v$

The additive inverse of $\dfrac {2}{7}$ is 

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

  1. $\dfrac {2}{7}$

  2. $\dfrac {-2}{7}$

  3. $\dfrac {7}{2}$

  4. $\dfrac {-7}{2}$

Show answer
Correct Option: B
Explanation:
  • Additive inverse is negative of the given number.
  • Two rational numbers are additive inverse of each other when their sum is zero.

So additive inverse of $\dfrac{2}{7} $ is $ \dfrac{-2}{7}$.