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Integers Test - 31

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Integers Test - 31
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  • Question 1
    1 / -0
    The temperature at Bar Harbor, Maine, was $$-3^{o}$$ F. It then dropped during the night to
    be $$4$$ times as cold. What was the temperature then?
    Solution
    Since the temperature is $$4$$ times as cold.
    $$\therefore $$  Temperature then was $$4\times -3= -12^o $$ F
  • Question 2
    1 / -0
    The product of each negative integer with $$-1$$ is always ______.
    Solution
    $$-1$$ is a negative integer and we get a positive quantity when we multiply two negative quantities. Hence, if any negative integer will be multiplied by $$-1$$ result will be positive always.
  • Question 3
    1 / -0
    Solve $$(-6) + (-1) = $$
    Solution
    $$(-6) + (-1)$$
    $$(-6-1)$$
    $$= -7$$
  • Question 4
    1 / -0
    Simplfy $$3\times (-1)$$
    Solution
    $$3 \times -1=-3$$
  • Question 5
    1 / -0
    Subtract the following 
    $$7$$ from $$15$$.
    Solution
    $$15-7 =8$$
  • Question 6
    1 / -0
    Subtract the following 
    $$4$$ from $$8$$
    Solution

    $$8-4 =4$$

  • Question 7
    1 / -0
    Do the following as directed.
    From $$12$$ subtract $$11$$
    Solution
    $$12-11$$
    $$=1$$
  • Question 8
    1 / -0
    Subtract the following algebraic expressions:
    $$-4g$$ from $$-10g$$
    Solution
    $$-10g-(-4g)$$

    $$=-10g+4g$$

    $$=g(-10+4)$$

    $$=-g \times 6$$

    $$=-6g$$
  • Question 9
    1 / -0
    Do the following as directed.
    Subract $$15$$ from $$19$$
    Solution
    $$19-15$$
    $$=4$$
  • Question 10
    1 / -0
    Which choice best shows the distributive property of multiplication.
    Solution
    Option C consists of multiple way of obtaining the same solution.
    Distributive property is defined on the basis of the same principle applied in Option C 
    LHS= $$(8\times6) + (8\times1)$$ =  $$48+8= 56$$
    while
    RHS= $$8\times(6+1)$$ = $$8\times7$$ =  $$56$$
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