Order of Operations

Help Questions

SSAT Middle Level: Quantitative › Order of Operations

Questions 1 - 10
1

If the expression $9.6\div(3.2+0.8)\times5$ is evaluated, what is the correct answer?

$1.2$

$7.5$

$12$

$15$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the addition inside them should be completed first, followed by division and then multiplication left to right. Choice A is correct because it accurately reflects the evaluated result of 2.4 × 5 = 12 using the correct order of operations. Choice B is incorrect due to dividing incorrectly without parentheses priority. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

2

Calculate the value of $(15-9)\times\left(\frac{1}{2}+1\right)$ using the correct order of operations.

$12$

$9$

$15$

$6.5$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the subtraction and addition inside them should be completed first, followed by multiplication. Choice B is correct because it accurately reflects the evaluated result of 6 × 1.5 = 9 using the correct order of operations. Choice A is incorrect due to possibly multiplying fractions incorrectly, a common error. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

3

What is the result of the following expression when evaluated correctly? $\left(9-2\right)\times1.5-4$

$9.0$

$14.5$

$6.5$

$10.5$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the subtraction inside them should be completed first, followed by multiplication, then subtraction. Choice B is correct because it accurately reflects the evaluated result of 10.5 - 4 = 6.5 using the correct order of operations. Choice A is incorrect due to subtracting before multiplying. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

4

Evaluate the expression: $-3+2\times(8-5)\div3$ . What is the result?

$3$

$1$

$-3$

$-1$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the subtraction inside them should be completed first, followed by multiplication and division left to right, then addition. Choice A is correct because it accurately reflects the evaluated result of -3 + 2 = -1 using the correct order of operations. Choice B is incorrect due to ignoring the division or negative sign. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

5

Calculate the value of $\left(20-\frac{1}{2}\times12\right)\div2$ using the correct order of operations.

$10$

$4$

$7$

$14$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the multiplication inside them should be completed first, followed by subtraction, then division. Choice A is correct because it accurately reflects the evaluated result of 14 ÷ 2 = 7 using the correct order of operations. Choice B is incorrect due to dividing too early, a common mistake. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

6

Evaluate the expression: $-8+\left(\frac{3}{4}\times16\right)-2$ . What is the result?

$8$

$2$

$-6$

$6$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the multiplication inside them should be completed first, followed by addition and subtraction. Choice A is correct because it accurately reflects the evaluated result of -8 + 12 - 2 = 2 using the correct order of operations. Choice C is incorrect due to mishandling negative signs or order. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

7

Evaluate the expression: $\frac{1}{2}\times(14-6)+3$ . What is the result?

$10$

$7$

$4$

$11$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the subtraction inside them should be completed first, followed by multiplication, then addition. Choice A is correct because it accurately reflects the evaluated result of 4 + 3 = 7 using the correct order of operations. Choice B is incorrect due to possibly adding before multiplying, which is a common error when students apply operations left to right without hierarchy. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

8

Calculate the value of $7.2-\left(1.5+0.9\right)\times2$ using the correct order of operations.

$9.0$

$2.4$

$4.8$

$0.0$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the addition inside them should be completed first, followed by multiplication, then subtraction. Choice A is correct because it accurately reflects the evaluated result of 7.2 - 4.8 = 2.4 using the correct order of operations. Choice B is incorrect due to subtracting too early. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

9

Evaluate the expression: $2.5+\left(9-3\right)\div2$ . What is the result?

$2.8$

$4.0$

$5.5$

$8.0$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the subtraction inside them should be completed first, followed by division, then addition. Choice A is correct because it accurately reflects the evaluated result of 2.5 + 3 = 5.5 using the correct order of operations. Choice B is incorrect due to dividing incorrectly or ignoring order. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

10

What is the result of the following expression when evaluated correctly? $(7-3)\times(2+4)\div3$

$6$

$9$

$8$

$12$

Explanation

This question tests SSAT Middle Level skills: correct use of the order of operations to evaluate expressions. The order of operations is a fundamental concept in mathematics, dictating the sequence in which operations should be performed within an expression. It typically follows the PEMDAS/BODMAS rule: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), and Addition and Subtraction (left to right). In the given expression, parentheses indicate that the operations inside them should be completed first, followed by multiplication and then division from left to right. Choice B is correct because it accurately reflects the evaluated result of 24 ÷ 3 = 8 using the correct order of operations. Choice A is incorrect due to possibly misapplying division before multiplication, a common error when students ignore left-to-right processing. To help students, emphasize the importance of following the order of operations strictly and using mnemonic devices like PEMDAS to remember the sequence. Practice with varied examples to reinforce understanding and address common pitfalls such as ignoring parentheses or misprioritizing operations.

Page 1 of 2