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Integers Test - 21

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Integers Test - 21
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  • Question 1
    1 / -0
    The value of $$7 \times (6 \times 5)$$ is equal to 
    Solution
    $$7 \times (6 \times 5) = 7 \times 30 = 210$$

    And $$(7 \times 6) \times 5$$ = $$ 42 \times 5 = 210$$

    So, option $$D$$ is correct.
  • Question 2
    1 / -0
    Which of the following obey closure property on Integers
    Solution
    $$3$$ and $$4$$ are Integers
    $$3+4=7$$
    $$7$$ is an integer
    $$3$$ and $$4$$ are Integers
    $$3-4=-1$$
    $$-1$$ is an integer
    $$2-3=-1$$
    $$-1$$ is an integer
    So all the given options obey closure property
    So option D is correct.
  • Question 3
    1 / -0
    Which of the following is correct?
    Solution
    $$5\times 3=3\times 5=15$$

    $$\left.\begin{matrix}12-18=-6\\ 18-12=6\end{matrix}\right\}6\neq -6$$

    $$\left.\begin{matrix}5-6=-1\\ 6-5=1\end{matrix}\right\}-1\neq 1$$

    So, option A is correct.
  • Question 4
    1 / -0
    Which of the following is correct?
    Solution
    $$a\times (b\times c)=(a\times b)\times c$$ is accociative property of multiplication.
    So, only option A is correct.
  • Question 5
    1 / -0
    As per the commutative property, complete the equation for integers for the given operation: $$10\times 5=$$
    Solution
    $$10 \times 5=5\times10=50$$
    This is commutative property of multiplication.
    $$5, 10$$ and $$50$$ are integers.
  • Question 6
    1 / -0
    $$(-2 \times 4)\times 3=-2 \times (4\times 3)$$ is a
    Solution
    $$(-2 \times 4)\times 3=-2 \times (4\times 3)$$
    It is of the form $$(a \times b)\times c=a \times (b\times c)$$
    This is associative property of multiplication.
  • Question 7
    1 / -0
    $$-5+(-7)=-7+(-5)$$ is a
    Solution
    $$-5+(-7)=-7+(-5)$$  is commutative property as,
    $$a+b=b+a$$ under commutative property.
  • Question 8
    1 / -0
    Check whether closure property is verified for integers for the given operation:$$(-1)\times 23=$$
    Solution
    $$-1$$ and $$23$$ are integers.
    $$(-1) \times 23=-23$$
    $$-23$$ is an integer .
    Integers are closed under multiplication.
  • Question 9
    1 / -0
    Closure property is not applicable to ......... operation of integers.
    Solution
    When a integer is divided by another integer, the result is not necessarily a integer. Thus, integers are not closed under division.
  • Question 10
    1 / -0
    Closure property states that, when any mathematical operation is performed on any two elements of the set, the result is .......... of the set.
    Solution
    Closure property states that, when any mathematical operation is performed on any two elements of the set, the result is also a member of the set.
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