5th Grade WV CSO 5:1 Explain use of parentheses, brackets or braces in numerical expressions

 

Use parentheses, brackets or braces in numerical expressions and evaluate expressions with these symbols.

Here are 5 videos on the topic of using parentheses, brackets, and braces in numerical expressions and evaluating expressions with these symbols:

1. Evaluate a Numerical Expression with Parentheses | 5.OA.A.1 💛💙 by The Magic Of Math
2. Order of Operations with Parentheses, Brackets, and Braces | PEMDAS | Math with Mr. J by Math with Mr. J
3. 5th Lesson 19 Evaluate Expressions by Ms. Beutl
4. Using Parentheses, Brackets and Braces in Expressions (Example): 5.OA.A.1 by Amy Boriack
5. 5th Grade Math 1.12, Grouping Symbols, Parentheses, Brackets, Braces. by JoAnn's School

Use parentheses, brackets or braces in numerical expressions and evaluate expressions with these symbols.

 Parentheses, brackets, and braces are used in numerical expressions to group numbers and variables together. They are also used to indicate the order in which operations should be performed.

Parentheses are typically used first, followed by brackets, and then braces. However, it is important to note that some programming languages and calculators may have different order of operations rules.

Here are some examples of how to use parentheses, brackets, and braces in numerical expressions:

# Parentheses
(2 + 3) * 4 = 20
# Brackets
[5 + 6] * 7 = 77
# Braces
{3 + 4} * 5 = 35

Evaluating expressions with parentheses, brackets, and braces

To evaluate an expression with parentheses, brackets, and braces, follow these steps:

1. Work from the inside out.
2. Evaluate the expression inside the parentheses first.
3. Evaluate the expression inside the brackets next.
4. Evaluate the expression inside the braces last.
5. Perform any remaining operations, such as multiplication and division, from left to right.

Here is an example of how to evaluate an expression with parentheses, brackets, and braces:

((2 + 3) * 4) + [5 + 6] * 7 = (20 * 4) + (11 * 7) = 80 + 77 = 157

Tips for evaluating expressions with parentheses, brackets, and braces

• Make sure to group the numbers and variables together correctly.
• Be careful of the order of operations.
• Evaluate the expression from the inside out.
• Check your work to make sure you got the correct answer.

If you are unsure about how to evaluate an expression, you can always use a calculator or ask for help from a teacher or tutor.

Here is a test on using parentheses, brackets, and braces in numerical expressions:

Part 1: Multiple Choice

Choose the correct answer for each of the following questions:

1. Which of the following is evaluated first in the expression (2 + 3) * 4 - 5 / 2?

   • A. 2 + 3
   • B. 4 - 5 / 2
   • C. (2 + 3) * 4
   • D. 5 / 2

2. What is the value of the expression ([3 + 4] * 5) - {2 + 1}?

   • A. 30
   • B. 34
   • C. 36
   • D. 38

3. Which of the following expressions is equivalent to (2x + 3) * (x + 1)?

   • A. 2x^2 + 5x + 3
   • B. 2x^2 + 3x + 1
   • C. 2x^2 + x + 3
   • D. 2x^2 + x + 1

Part 2: Free Response

Evaluate the following expressions:

1. (5 + 2) * 3 - 4
2. [7 - 3] / 2 * 5
3. {3 * 4} + 2^2
4. (x^2 + 2x) * (x - 1)
5. ([2x + 3] * (x + 1)) + (x + 2)

Answers

Part 1

1. C
2. B
3. A

Part 2

1. 11
2. 10
3. 18
4. x^3 - x^2 + 2x
5. 2x^3 + 5x^2 + 7x + 5

This test should help you assess your understanding of how to use parentheses, brackets, and braces in numerical expressions. If you missed any of the questions, be sure to review the corresponding material.

This is experimental use of Artificial Intelligence.

 It is designed for speed and efficiency of preparation.

Errors may be present.

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