Tag: using brackets in algebraic expressions

Questions Related to using brackets in algebraic expressions

$35+15\times 1.5=$?

maths place value, ordering and rounding order operations and algebra using brackets in algebraic expressions order of operations

  1. $85$

  2. $51.5$

  3. $57.5$

  4. $5.25$

  5. None of these

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Correct Option: C
Explanation:

Given Exp.$=35+15\times \cfrac{3}{2}=35+\cfrac{45}{2}=35+22.5=57.5$

$(800\div 64)\times (1296\div 36)=$?

maths place value, ordering and rounding order operations and algebra using brackets in algebraic expressions order of operations

  1. $420$

  2. $460$

  3. $500$

  4. $540$

  5. None of these

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Correct Option: E
Explanation:

Given Exp. $=\cfrac { 800 }{ 64 } \times \cfrac { 1296 }{ 36 } =450$

$9+\cfrac { 3 }{ 4 } +7+\cfrac { 2 }{ 17 } -\left( 9+\cfrac { 1 }{ 15 }  \right) =$?

maths place value, ordering and rounding order operations and algebra using brackets in algebraic expressions order of operations

  1. $7+\cfrac { 719 }{ 1020 } $

  2. $9+\cfrac { 817 }{ 1020 } $

  3. $9+\cfrac { 719 }{ 1020 } $

  4. $7+\cfrac { 817 }{ 1020 } $

  5. None of these

Show answer
Correct Option: D
Explanation:

Given the sum $=9+\cfrac { 3 }{ 4 } +7+\cfrac { 2 }{ 17 } -\left( 9+\cfrac { 1 }{ 15 }  \right) $
$=(9+7-9)+\left( \cfrac { 3 }{ 4 } +\cfrac { 2 }{ 17 } -\cfrac { 1 }{ 15 }  \right) $
$=7+\cfrac { 765+120-68 }{ 1020 } $
$=7+\cfrac { 817 }{ 1020 } $