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Integers Test - 9

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Integers Test - 9
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Evaluate:
    $$(+42) + (-64) $$
    Solution
    (+42)+(-64)=-22
  • Question 2
    1 / -0
    Difference of $$898$$ and $$386 $$
    Solution
     898-386= 512

  • Question 3
    1 / -0
    Subtract $$-30$$  from $$-10 $$.
    Solution
    $$-10 - (-30) = (-10) + (+30) = (+20)$$
  • Question 4
    1 / -0
    Compare:
    $$31,505 \quad \square \quad31,550$$
    Solution
    On comparing both numbers we see that one number is $$505$$ and another is $$550.$$ 

    And $$55$$ is greater than $$50$$ so,

    $$31,505 < 31,550$$

    So, option B is the correct answer.
  • Question 5
    1 / -0
    $$(-36) + (+12)$$ is equal to 
    Solution
    $$(-36)+(+12)=-36+12=-24$$
  • Question 6
    1 / -0
    Compare $$\displaystyle 24\quad \Box \quad -28$$
    Solution
    24 is obviously greater than -28 ...we can observe this from the number line..
  • Question 7
    1 / -0
    Compare: $$1,00,002 \quad \square \quad 10,00,002$$
    Solution
    If we write the given numbers in words well be easily able to solve this.
    One lakh two and the second number is ten lakh two.
    Obviously the second number is greater then the first.
    So option B is the correct answer.
  • Question 8
    1 / -0
    The smallest positive integer is
    Solution
    $$\textbf{Step 1: Use the definition of integer and simply according to the given condition}$$
                    $$\text{We know that integer is a number that is not a fraction.}$$
                    $$\implies x=\text{{.....-3, -2, -1, 0, 1, 2, 3,....}}$$

                    $$\text{According to the question, we need a positive integer,}$$
                    $$\implies x>0$$
                    $$ \implies(x \epsilon \space Z,\space x>0)$$
                    $$\implies x=\text{{1, 2, 3,....}}$$

                    $$\text{The smallest element in the above set is 1}$$

    $$\textbf{Thus, the smallest positive integer is 1}$$
  • Question 9
    1 / -0
    Which of the following is correct?
    Solution
    Given (A) $$-4 < 3$$ is correct but $$4 < -3$$ is wrong because $$4$$ is always greater than $$-3$$.
    (B) If $$-2 < 5,$$ then it is correct but $$2>$$ 5 is wrong because $$5$$ is always greater than $$2$$
    (C) If $$0 >-7$$ is correct then $$0 < 7$$ is also correct as multiplying by minus sign changes the operator from greater than to smaller than and vice versa.
    (D) If $$8 > 1$$ is write then $$-8 > -1$$ is wrong multiplying by minus sign changes the operator from greater than to smaller than and vice versa.
    Hence, option (C) is correct.
  • Question 10
    1 / -0
    On a horizontal number line, negative numbers are located on the ____ side of $$0.$$
    Solution
    Negative numbers are located on the left side of $$0$$ and positive numbers are located on the right side of $$0.$$
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