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Integers Test - 20

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Integers Test - 20
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  • Question 1
    1 / -0
    Observe the given multiplies of 37

         $$\displaystyle 37\times 3\ \ =111$$ 
         $$\displaystyle 37\times 6\ \ =222$$ 
         $$\displaystyle 37\times 9\ \ =333$$  
         $$\displaystyle 37\times 12=444$$
          .
          .
          .

    Find the product of $$\displaystyle 37\times 27\ ?$$
    Solution
    Given:

         $$\displaystyle 37\times 3=37\times \left ( 3\times 1 \right )=111$$

         $$\displaystyle 37\times 6=37\times \left ( 3\times 2\right )=222$$

         $$\displaystyle 37\times 9=37\times \left ( 3\times 3\right )=333$$

         $$37\times 12=37\times (3\times 4)=444$$

         .

         .

         .


    Now, $$\displaystyle 37\times 27=37\times  3\times 3\times 3$$

    We know  $$\displaystyle 37\times \left ( 3\times 3\right )=333$$

    So $$\displaystyle 37\times 27=333 \times 3$$

                         $$=999$$
  • Question 2
    1 / -0
    Fill in the blank:
    $$-112$$ $$\displaystyle \times $$ _____ $$= +112$$
    Solution
    -112 $$\displaystyle \times $$ (-1) = +112
  • Question 3
    1 / -0
    $$6 \times \displaystyle \left ( 7 \times 3 \right )= \left ( 6\times 7 \right )\times 3$$ is an example of
    Solution
    a $$\displaystyle (b \times  c) = \left ( a\times b \right )\times $$ c is an example of associative property
  • Question 4
    1 / -0
    Smallest negative number from the following is 
    Solution
    smallest negative number does  not exist.. because numbers are endless ..
  • Question 5
    1 / -0
    Evaluate:
    $$-12\displaystyle \times 21$$ 
    Solution
    The product of a negative and a positive number is always a negative number.

    $$-12×21= (-252)$$

    So option C is the correct answer.
  • Question 6
    1 / -0
    Evaluate $$(-6)$$ $$\displaystyle \times $$ $$(-2) $$
    Solution
    The product of two negative numbers is always a positive number.

    So, $$-6×(-2)= +12$$

    So option D is the correct answer.
  • Question 7
    1 / -0
    Evaluate:
     $$(-62) - (+12) $$
    Solution
    If we are subtracting a negative number from a negative number we add the digits and put a negative sign in Infront of the answer.

    $$-62-12= -74$$

    So option C is the correct answer.
  • Question 8
    1 / -0
    Solve:
    $$-132\div11$$
    Solution
    We can write $$-132÷11$$ as $$-132×\dfrac 1{11}$$
    Or, $$\dfrac{-132}{11} =(-12)$$

    So option D is the correct answer.
  • Question 9
    1 / -0
    Evaluate:
    (-32) $$\displaystyle \div  $$ (-4)
    Solution
    $$\dfrac{-32}{-4}$$ = 8 
  • Question 10
    1 / -0
    Which of the following satisfies closure property?
    Solution
    $$3, 4, 5$$ and $$6$$ are whole numbers.
    and the results of their operations are also whole numbers. 
    So, option D is correct.
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