Order of Operations - SSAT Middle Level: Quantitative
Card 1 of 25
What is the value of $4[3 + 2]$?
What is the value of $4[3 + 2]$?
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$20$. Brackets function like parentheses, so evaluate $3 + 2$ first before multiplying by 4.
$20$. Brackets function like parentheses, so evaluate $3 + 2$ first before multiplying by 4.
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What is the value of $18 \div (3 \times 2)$?
What is the value of $18 \div (3 \times 2)$?
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$3$. Parentheses take precedence, so compute $3 \times 2$ first before dividing 18 by the result.
$3$. Parentheses take precedence, so compute $3 \times 2$ first before dividing 18 by the result.
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What is the value of $20 \div 5 + 2 \times 3$?
What is the value of $20 \div 5 + 2 \times 3$?
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$10$. Multiplication and division are performed left to right before addition, so compute $20 \div 5$ and $2 \times 3$ separately, then add the results.
$10$. Multiplication and division are performed left to right before addition, so compute $20 \div 5$ and $2 \times 3$ separately, then add the results.
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What is the value of $5^2 - 3^2$?
What is the value of $5^2 - 3^2$?
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$16$. Exponents precede subtraction, so compute $5^2$ and $3^2$ before subtracting.
$16$. Exponents precede subtraction, so compute $5^2$ and $3^2$ before subtracting.
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What is the value of $(2^3 + 1) \times 2$?
What is the value of $(2^3 + 1) \times 2$?
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$18$. Parentheses take precedence, so compute $2^3 + 1$ before multiplying by 2.
$18$. Parentheses take precedence, so compute $2^3 + 1$ before multiplying by 2.
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What is the value of $2^3 + 1$?
What is the value of $2^3 + 1$?
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$9$. Exponents precede addition, so evaluate $2^3$ before adding 1.
$9$. Exponents precede addition, so evaluate $2^3$ before adding 1.
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What is the correct order of operations for evaluating expressions?
What is the correct order of operations for evaluating expressions?
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Parentheses, exponents, multiply/divide, add/subtract (left to right). The order of operations follows PEMDAS: parentheses first, then exponents, multiplication and division from left to right, and addition and subtraction from left to right.
Parentheses, exponents, multiply/divide, add/subtract (left to right). The order of operations follows PEMDAS: parentheses first, then exponents, multiplication and division from left to right, and addition and subtraction from left to right.
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What does it mean to evaluate multiplication and division “left to right” in $24 \div 6 \times 2$?
What does it mean to evaluate multiplication and division “left to right” in $24 \div 6 \times 2$?
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Compute $24 \div 6$ first, then multiply by $2$. Multiplication and division have the same precedence and are evaluated from left to right, so perform division before multiplication in this expression.
Compute $24 \div 6$ first, then multiply by $2$. Multiplication and division have the same precedence and are evaluated from left to right, so perform division before multiplication in this expression.
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What does it mean to evaluate addition and subtraction “left to right” in $10 - 3 + 4$?
What does it mean to evaluate addition and subtraction “left to right” in $10 - 3 + 4$?
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Compute $10 - 3$ first, then add $4$. Addition and subtraction have the same precedence and are evaluated from left to right, so perform subtraction before addition in this expression.
Compute $10 - 3$ first, then add $4$. Addition and subtraction have the same precedence and are evaluated from left to right, so perform subtraction before addition in this expression.
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What is the value of $3 + 4 \times 2$?
What is the value of $3 + 4 \times 2$?
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$11$. Multiplication precedes addition in the order of operations, so compute $4 \times 2$ before adding 3.
$11$. Multiplication precedes addition in the order of operations, so compute $4 \times 2$ before adding 3.
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What is the value of $(3 + 4) \times 2$?
What is the value of $(3 + 4) \times 2$?
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$14$. Parentheses take precedence, so evaluate $3 + 4$ first before multiplying by 2.
$14$. Parentheses take precedence, so evaluate $3 + 4$ first before multiplying by 2.
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What is the value of $18 \div 3 \times 2$?
What is the value of $18 \div 3 \times 2$?
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$12$. Division and multiplication are performed left to right, so divide 18 by 3 before multiplying by 2.
$12$. Division and multiplication are performed left to right, so divide 18 by 3 before multiplying by 2.
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What is the value of $7 + 3 \times 0^2$?
What is the value of $7 + 3 \times 0^2$?
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$7$. Exponents precede multiplication, which precedes addition, so compute $0^2$ first, then multiply by 3, and add to 7.
$7$. Exponents precede multiplication, which precedes addition, so compute $0^2$ first, then multiply by 3, and add to 7.
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What is the value of $3 + 2 \times 5^1$?
What is the value of $3 + 2 \times 5^1$?
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$13$. Exponents precede multiplication, which precedes addition, so compute $5^1$ first, then multiply by 2, and add to 3.
$13$. Exponents precede multiplication, which precedes addition, so compute $5^1$ first, then multiply by 2, and add to 3.
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What is the value of $2[(7 - 3) + 1]$?
What is the value of $2[(7 - 3) + 1]$?
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$10$. Parentheses and brackets take precedence, so evaluate innermost $7 - 3$ first, then add 1, and multiply by 2.
$10$. Parentheses and brackets take precedence, so evaluate innermost $7 - 3$ first, then add 1, and multiply by 2.
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What is the value of $\frac{1}{2} \times 8 + 3$?
What is the value of $\frac{1}{2} \times 8 + 3$?
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$7$. Multiplication precedes addition, so compute $\frac{1}{2} \times 8$ before adding 3.
$7$. Multiplication precedes addition, so compute $\frac{1}{2} \times 8$ before adding 3.
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What is the value of $\frac{1}{2} \times (8 + 3)$?
What is the value of $\frac{1}{2} \times (8 + 3)$?
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$\frac{11}{2}$. Parentheses take precedence, so compute $8 + 3$ before multiplying by $\frac{1}{2}$.
$\frac{11}{2}$. Parentheses take precedence, so compute $8 + 3$ before multiplying by $\frac{1}{2}$.
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What is the value of $9 - 3 \times (2 + 1)$?
What is the value of $9 - 3 \times (2 + 1)$?
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$0$. Parentheses take precedence, so compute $2 + 1$ first, then multiply by 3 before subtracting from 9.
$0$. Parentheses take precedence, so compute $2 + 1$ first, then multiply by 3 before subtracting from 9.
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What is the value of $12 - (4 + 3)$?
What is the value of $12 - (4 + 3)$?
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$5$. Parentheses take precedence, so compute $4 + 3$ before subtracting from 12.
$5$. Parentheses take precedence, so compute $4 + 3$ before subtracting from 12.
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What is the value of $(16 \div 2)^2$?
What is the value of $(16 \div 2)^2$?
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$64$. Parentheses take precedence, so compute $16 \div 2$ before squaring the result.
$64$. Parentheses take precedence, so compute $16 \div 2$ before squaring the result.
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What is the value of $(9 - 3) \times (2 + 1)$?
What is the value of $(9 - 3) \times (2 + 1)$?
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$18$. Parentheses take precedence, so evaluate $9 - 3$ and $2 + 1$ separately before multiplying the results.
$18$. Parentheses take precedence, so evaluate $9 - 3$ and $2 + 1$ separately before multiplying the results.
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What is the value of $12 - 4 + 3$?
What is the value of $12 - 4 + 3$?
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$11$. Addition and subtraction are performed left to right, so subtract 4 from 12 before adding 3.
$11$. Addition and subtraction are performed left to right, so subtract 4 from 12 before adding 3.
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What is the value of $6 - 2^2 \times 3$?
What is the value of $6 - 2^2 \times 3$?
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$-6$. Exponents precede multiplication, which precedes subtraction, so compute $2^2$ first, then multiply by 3, and subtract from 6.
$-6$. Exponents precede multiplication, which precedes subtraction, so compute $2^2$ first, then multiply by 3, and subtract from 6.
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What is the value of $16 \div 2^2$?
What is the value of $16 \div 2^2$?
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$4$. Exponents precede division, so compute $2^2$ before dividing 16 by the result.
$4$. Exponents precede division, so compute $2^2$ before dividing 16 by the result.
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What is the value of $2(7 - 3) + 1$?
What is the value of $2(7 - 3) + 1$?
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$9$. Parentheses take precedence, so compute $7 - 3$ first, then multiply by 2 before adding 1.
$9$. Parentheses take precedence, so compute $7 - 3$ first, then multiply by 2 before adding 1.
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