Evaluate Expressions With Grouping Symbols - 5th Grade Math
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Which option correctly rewrites $8 - (3 + 2)$ without parentheses?
Which option correctly rewrites $8 - (3 + 2)$ without parentheses?
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$8 - 3 - 2$. Subtracting a sum means subtracting each term: $8-3-2$.
$8 - 3 - 2$. Subtracting a sum means subtracting each term: $8-3-2$.
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What is the value of $2 \times [9 - (4 + 1)]$?
What is the value of $2 \times [9 - (4 + 1)]$?
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$8$. Work inside out: $4+1=5$, $9-5=4$, then $2 \times 4=8$.
$8$. Work inside out: $4+1=5$, $9-5=4$, then $2 \times 4=8$.
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What is the value of ${30 / [5 \times (2 + 1)]} + 4$?
What is the value of ${30 / [5 \times (2 + 1)]} + 4$?
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$6$. Work inside out: $2+1=3$, $5 \times 3=15$, $30 \div 15=2$, then $2+4=6$.
$6$. Work inside out: $2+1=3$, $5 \times 3=15$, $30 \div 15=2$, then $2+4=6$.
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What is the value of $[4 \times (3 + 1)] - (10 - 2)$?
What is the value of $[4 \times (3 + 1)] - (10 - 2)$?
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$8$. Evaluate each group: $3+1=4$, $4 \times 4=16$, $10-2=8$, then $16-8=8$.
$8$. Evaluate each group: $3+1=4$, $4 \times 4=16$, $10-2=8$, then $16-8=8$.
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Identify the first operation to perform in $6 + 2 \times (5 - 3)$.
Identify the first operation to perform in $6 + 2 \times (5 - 3)$.
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Compute $(5 - 3)$. Parentheses are evaluated before any other operations.
Compute $(5 - 3)$. Parentheses are evaluated before any other operations.
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What is the value of $9 + (16 / 4) \times 2$?
What is the value of $9 + (16 / 4) \times 2$?
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$17$. Follow order: parentheses first, then division, multiplication, addition.
$17$. Follow order: parentheses first, then division, multiplication, addition.
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What is the value of $\frac{1}{2} \times (8 + 4)$?
What is the value of $\frac{1}{2} \times (8 + 4)$?
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$6$. First add in parentheses: $8+4=12$, then multiply: $\frac{1}{2} \times 12=6$.
$6$. First add in parentheses: $8+4=12$, then multiply: $\frac{1}{2} \times 12=6$.
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What is the value of ${2 + [3 + (4 + 1)]}$?
What is the value of ${2 + [3 + (4 + 1)]}$?
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$10$. Work from innermost: $4+1=5$, $3+5=8$, then $2+8=10$.
$10$. Work from innermost: $4+1=5$, $3+5=8$, then $2+8=10$.
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What is the value of $[15 - (6 + 2)] + 9$?
What is the value of $[15 - (6 + 2)] + 9$?
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$16$. Work inside out: $6+2=8$, $15-8=7$, then $7+9=16$.
$16$. Work inside out: $6+2=8$, $15-8=7$, then $7+9=16$.
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What is the value of $18 / [3 \times (2 + 1)]$?
What is the value of $18 / [3 \times (2 + 1)]$?
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$2$. Work inside out: $2+1=3$, $3 \times 3=9$, then $18 \div 9=2$.
$2$. Work inside out: $2+1=3$, $3 \times 3=9$, then $18 \div 9=2$.
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Which option correctly rewrites $8 - (3 - 2)$ without parentheses?
Which option correctly rewrites $8 - (3 - 2)$ without parentheses?
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$8 - 3 + 2$. Subtracting a difference changes the sign of the second term.
$8 - 3 + 2$. Subtracting a difference changes the sign of the second term.
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What is the value of $40 - (12 + 8)$?
What is the value of $40 - (12 + 8)$?
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$20$. First add in parentheses: $12+8=20$, then subtract: $40-20=20$.
$20$. First add in parentheses: $12+8=20$, then subtract: $40-20=20$.
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What is the value of ${20 - [6 + 4]} \times 3$?
What is the value of ${20 - [6 + 4]} \times 3$?
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$30$. Work inside out: $6+4=10$, $20-10=10$, then $10 \times 3=30$.
$30$. Work inside out: $6+4=10$, $20-10=10$, then $10 \times 3=30$.
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What is the value of $5 \times [2 + (3 \times 4)]$?
What is the value of $5 \times [2 + (3 \times 4)]$?
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$70$. Work inside out: $3 \times 4=12$, then $2+12=14$, finally $5 \times 14=70$.
$70$. Work inside out: $3 \times 4=12$, then $2+12=14$, finally $5 \times 14=70$.
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What is the value of $7 + [12 - 5]$?
What is the value of $7 + [12 - 5]$?
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$14$. First evaluate brackets: $12-5=7$, then add: $7+7=14$.
$14$. First evaluate brackets: $12-5=7$, then add: $7+7=14$.
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What is the value of $24 / (3 + 5)$?
What is the value of $24 / (3 + 5)$?
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$3$. First add in parentheses: $3+5=8$, then divide: $24 \div 8=3$.
$3$. First add in parentheses: $3+5=8$, then divide: $24 \div 8=3$.
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What is the value of $(18 - 6) imes 2$?
What is the value of $(18 - 6) imes 2$?
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$24$. First subtract in parentheses: $18-6=12$, then multiply: $12 \times 2=24$.
$24$. First subtract in parentheses: $18-6=12$, then multiply: $12 \times 2=24$.
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What is the value of $3 imes (4 + 2)$?
What is the value of $3 imes (4 + 2)$?
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$18$. First add inside parentheses: $4+2=6$, then multiply: $3 \times 6=18$.
$18$. First add inside parentheses: $4+2=6$, then multiply: $3 \times 6=18$.
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What is the order of operations when an expression has grouping symbols?
What is the order of operations when an expression has grouping symbols?
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Evaluate inside grouping symbols first, then follow order of operations. Grouping symbols override normal order of operations.
Evaluate inside grouping symbols first, then follow order of operations. Grouping symbols override normal order of operations.
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What is the order of operations used in Grade $5$ when evaluating expressions?
What is the order of operations used in Grade $5$ when evaluating expressions?
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Grouping symbols, then multiply/divide, then add/subtract (left to right). This follows the standard order of operations.
Grouping symbols, then multiply/divide, then add/subtract (left to right). This follows the standard order of operations.
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