MA001 College Algebra Coaching Session 1.1 #17

ma001

#1

Hi this is Sachin! I am a Student Success Coach and will be explaining some practice problems from the MA001 Algebra course. Today we will review an assigned problem from Unit 1. In the “Homework Assessment” you were asked to solve this problem:
image

We will use the “order of operations” principles to simplify this expression.
We will approach this problem as follows:

  1. Simplify the parentheses.
  2. Simplify the brackets.
  3. Eliminate the parentheses and brackets and carry out the arithmetic operations.

Step 1: Simplify the parentheses:
image
a) Simplify the absolute term; and reduce the fraction:
image
Therefore, the expression becomes
→ - 5 + |-3|
b) Eliminate the absolute term:
Absolute value for any number is always positive
|-3| = 3
Therefore, the simplified parenthesis is
→ - 5 + 3 = -2

Step 2: Simplify the brackets:
[6 · 2 + 2 - (- 6)]
a) Simplify the bracket term (-6). A negative multiplied to negative number is a positive number.
-(- 6) = + 6
Therefore, the expression is
→ 6 · 2 + 2 + 6
b) Perform the multiplication:
6 · 2 = 12; therefore,
→ 12 + 2 + 6
c) Perform addition from left to right:
→ 14 + 6 = 20
Simplified bracket is 20.

Step 3: Use the simplified bracket and parenthesis to perform the arithmetic operation.
By using simplified brackets and parenthesis, the expression becomes
[ 20 ]( - 2) = 20 ∙ -2
The product of a positive and a negative number is negative. Therefore,
→ 20 ∙ -2 = - 40

Conclusion:
By using the order of operations, the solution for the given expression
image is - 40.

In addition to this, I am also attaching the pdf document of the practice problem for your ready reference.
Question 17.pdf (229.9 KB)

Hi this is Sachin! I am a Student Success Coach and will be explaining some practice problems from the MA001 Algebra course. Today we will review an assigned problem from Unit 1. In the “Homework Assessment” you were asked to solve this problem:
image

We will use the “order of operations” principles to simplify this expression.
We will approach this problem as follows:

  1. Simplify the parentheses.
  2. Simplify the brackets.
  3. Eliminate the parentheses and brackets and carry out the arithmetic operations.

Step 1: Simplify the parentheses:
image
a) Simplify the absolute term; and reduce the fraction:
image
Therefore, the expression becomes
→ - 5 + |-3|
b) Eliminate the absolute term:
Absolute value for any number is always positive
|-3| = 3
Therefore, the simplified parenthesis is
→ - 5 + 3 = -2

Step 2: Simplify the brackets:
[6 · 2 + 2 - (- 6)]
a) Simplify the bracket term (-6). A negative multiplied to negative number is a positive number.
-(- 6) = + 6
Therefore, the expression is
→ 6 · 2 + 2 + 6
b) Perform the multiplication:
6 · 2 = 12; therefore,
→ 12 + 2 + 6
c) Perform addition from left to right:
→ 14 + 6 = 20
Simplified bracket is 20.

Step 3: Use the simplified bracket and parenthesis to perform the arithmetic operation.
By using simplified brackets and parenthesis, the expression becomes
[ 20 ]( - 2) = 20 ∙ -2
The product of a positive and a negative number is negative. Therefore,
→ 20 ∙ -2 = - 40

Conclusion:
By using the order of operations, the solution for the given expression
image is - 40.

In addition to this, I am also attaching the pdf document of the practice problem for your ready reference.
Question 17.pdf (229.9 KB)

Please let me know if you have any question on this problem, or ‘Order of Operations’ generally. I will be here in the forum for the next hour.

Please let me know if you have any question on this problem, or ‘Order of Operations’ generally. I will be here in the forum for the next hour.