Tag: concept of directed numbers and number line

Questions Related to concept of directed numbers and number line

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}$.

Instead of subtracting 32570 from a number . If 23570 is subtracted . Then what can we say about the answer ?

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

  1. Increased by 900

  2. Increased by 9000

  3. Decreased by 900

  4. Decreased by 9000

Show answer
Correct Option: B
Explanation:

Let the  number be $x$

We know, $32570>23570$

$\therefore$  $(x-32570)<(x-23570)$
$\Rightarrow$  The difference between the numbers $=32570-23570$
                                                                      $=9000$

$\therefore$  We can say that, instead of subtracting $32570$ from number, if $23570$ is subtracted, then the answer can be increase by $9000$

The value of $52-27 +67 -48$ is

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

  1. $44$

  2. $45$

  3. $46$

  4. $-44$

Show answer
Correct Option: A
Explanation:

$ 52 - 27 = 25 $
$ 67 - 48 = 19 $

Hence, $ (52 - 27 ) + (67 - 48) = 25 + 19 = 44 $

Subtract
$75$ from $98-25+4$

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

  1. 2

  2. 5

  3. -2

  4. 9

Show answer
Correct Option: A
Explanation:

$  98-25+4 =77 $

Hence, $ (98-25+4 ) - (75) = 77 - 75 = 2 $

Subtract +43 from -26

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

  1. -17

  2. +17

  3. -69

  4. +69

Show answer
Correct Option: C
Explanation:

$-26 - (+43) = - 26 + (-43) = -69$

Subtract -26 from +32

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

  1. -6

  2. +6

  3. -58

  4. +58

Show answer
Correct Option: D
Explanation:

$+32 - (-26) = 32 + 26 = +58$

Subtract -30  from -10 

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

  1. $+20$

  2. $40$

  3. $-20$

  4. $-40$

Show answer
Correct Option: A
Explanation:

$-10 - (-30) = (-10) + (+30) = (+20)$

Subtract $+42$ from $-22$ 

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

  1. $+64$

  2. $-20$

  3. $-64$

  4. $+20$

Show answer
Correct Option: C
Explanation:

$-22 - (+42) = (-22) + (-42) = -64$

Subtract $-24$ from $+38$ 

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

  1. $+14$

  2. $+62$

  3. $-14$

  4. $-62$

Show answer
Correct Option: B
Explanation:

$+38 - (-24) = (+38) + (+24) = 62$

Difference of sums of 898 and -386 from 190 and 632 -

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

  1. $-310$

  2. $-822$

  3. $310$

  4. $+312$

Show answer
Correct Option: C
Explanation:

Sum 898+(-386)= +512
Sum 190+632 = 822
Difference 822-512 = 310