Tag: subtraction of directed numbers

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

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

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

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $z$.
$\Rightarrow  -\dfrac{a}{b} +z =0$
$\Rightarrow z= \dfrac{a}{b}$

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

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?

  1. $81$
  2. $72$
  3. $63$
  4. $54$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $81$ .

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

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

  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
Reveal answer Fill a bubble to check yourself
D Correct answer
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.
Multiple choice maths concept of directed numbers and number line subtraction of directed numbers subtraction of integers subtraction of integers on number line

A driver is $20$ m below sea level. If he goes further down by $10$m, then find his new position.

  1. $10$m
  2. $-10$m
  3. $30$m
  4. $-30$m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sea Level $\rightarrow$ $0$m

Original Position $\rightarrow$ $-20$m (Since he is below sea level)
New Position $\rightarrow$ $-$ ($20+10$) $\rightarrow$ $-30$m