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Integers Test - 38

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Integers Test - 38
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  • Question 1
    1 / -0
     If the product of two integers is $$72$$ and one of them is $$-9$$, then the other integer is.
    Solution
    Let, the other integer is $$x$$.
    According to the problem:
    $$x\times (-9)=72$$
    or, $$x=-\dfrac{72}{9}=-8$$.
  • Question 2
    1 / -0
     On subtracting $$- 7$$ from $$-14$$, we get.
    Solution
    According to question, $$-14 -(-7)$$
                                           $$=-14 + 7$$
                                           $$=- 7$$
  • Question 3
    1 / -0
    The additive inverse of $$17 $$ is
    Solution
    The additive inverse of $$17$$ is $$-17$$ since $$17+(-17)=(-17)+17=0$$. Where $$0$$ is the additive identity.
  • Question 4
    1 / -0
    Which of the following is a true statement?
    Solution
    $$-4$$ lies on left hand side of $$-3$$ on the number line.
    Hence $$-4$$ is less than $$-3$$
    $$\therefore -4 < -3$$
    Option $$(B)$$ is the correct answer
  • Question 5
    1 / -0
    $$4$$ more than $$-5$$ is
    Solution
    $$4$$ more than $$-5$$ indicates
    $$-5 + 4 = -1$$
    $$4$$ more than $$-5$$ is $$-1$$
    Option $$(C)$$ is the correct answer
  • Question 6
    1 / -0
    $$49 + (-27) =?$$
    Solution
    $$(49) + (-27) $$
    $$= 49 – 27$$
    $$=22$$
    Option $$(C)$$ is the correct answer
  • Question 7
    1 / -0
    $$-12- (-5) = ?$$
    Solution
    $$\textbf{Step-1: Simplification}$$
                    $$-12-(-5)=?$$
                    $$\text{We know that}$$ $$(-)\times (-)=+$$
                    $$\text{Hence, we get}$$ $$-12+5$$
    $$\textbf{Step-2: Solving}$$
                    $$-12+5=5-12$$
                                    $$=-7$$

    $$\textbf{Hence , the correct option is (B).}$$
  • Question 8
    1 / -0
    Mark against the correct answer in the following:
    On subtracting -8 from -13, we get
    Solution

    To get the required value, we subtract $$-8$$ from $$-13$$
    $$=-13-(-8)$$
    $$=-13+8$$
    $$=-5$$
  • Question 9
    1 / -0
    Answer the following using number line.
    The integer which is $$ 7 $$ more than $$ -4 $$ is 
    Solution
    Starting from $$-4$$, move $$7$$ unit right. So, from the above figure, we can conclude that integer $$ 3$$ is $$7$$ more than $$ -4 .$$

  • Question 10
    1 / -0
    The greater integer lying between $$-10$$ and $$-15$$ is
    Solution
    Option $$B$$ is right.
    $$-11$$ is the greatest integer lying between $$-10$$ and $$-15$$.
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