Tag: multiplication and division of decimals

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Multiple choice maths calculations and mental strategies 4 mental additions and subtractions of decimals multiplication and division of decimals mental multiplication and division

The value of $\dfrac { 0.1\times 0.1\times 0.1+0.02\times 0.02\times 0.02 }{ 0.2\times 0.2\times 0.2+0.04\times 0.04\times 0.04 } $ is:

  1. $0.0125$
  2. $0.125$
  3. $0.25$
  4. $0.5$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given expression $=\dfrac { { \left( 0.1 \right)  }^{ 3 }+{ \left( 0.02 \right)  }^{ 3 } }{ { 2 }^{ 3 }\left[ { \left( 0.1 \right)  }^{ 3 }+{ \left( 0.02 \right)  }^{ 3 } \right]  } =\dfrac { 1 }{ 8 } =0.125$

Multiple choice maths calculations and mental strategies 4 mental additions and subtractions of decimals multiplication and division of decimals mental multiplication and division

Evaluate : $\dfrac { { \left( 2.39 \right)  }^{ 2 }-{ \left( 1.61 \right)  }^{ 2 } }{ 2.39-1.61 } $

  1. $2$
  2. $4$
  3. $6$
  4. $8$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given Expression $=\dfrac { { a }^{ 2 }-{ b }^{ 2 } }{ a-b } =\dfrac { \left( a+b \right) \left( a-b \right)  }{ \left( a-b \right)  } =\left( a+b \right) =\left( 2.39+1.61 \right) =4$

Multiple choice maths calculations and mental strategies 4 mental additions and subtractions of decimals multiplication and division of decimals mental multiplication and division

$\dfrac { \left( 0.1667 \right) \left( 0.8333 \right) \left( 0.3333 \right)  }{ \left( 0.2222 \right) \left( 0.6667 \right) \left( 0.1250 \right)  } $ is approximately equal to:

  1. $2$
  2. $2.40$
  3. $2.43$
  4. $2.50$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given expression $=\dfrac { \left( 0.3333 \right)  }{ \left( 0.2222 \right)  } \times \dfrac { \left( 0.1667 \right) \left( 0.8333 \right)  }{ \left( 0.6667 \right) \left( 0.1250 \right)  } $


                             $=\dfrac { 3333 }{ 2222 } \times \dfrac { \dfrac { 1 }{ 6 } \times \dfrac { 5 }{ 6 }  }{ \dfrac { 2 }{ 3 } \times \dfrac { 125 }{ 1000 }  } $

                             $=\left( \dfrac { 3 }{ 2 } \times \dfrac { 1 }{ 6 } \times \dfrac { 5 }{ 6 } \times \dfrac { 3 }{ 2 } \times 8 \right) $

                             $=\dfrac { 5 }{ 2 } $
                             $= 2.50$