chapter 5 integers and order of operations
Mathematics Bridge Program ©2002 DeVry University
Arithmetic
Chapter 5
Integers and The Order of Operations
5.1 Integers and Absolute Value
5.2 Adding Integers
5.3 Subtracting Integers
5.4 Multiplying and Dividing Integers
5.5 Order of Operations
5.6 Additional Exercises
5.1 Integers and Absolute Value
The set of integers consists of the numbers {…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}
Positive integers can be written with or without their sign. Sometimes we put a positive integer with its sign in parentheses to emphasize that it represents a positive number.
Example 1: 5 = +5 = (+5)
Negative integers must be written with their sign. We often put a the negative integer with its sign in parentheses to emphasize that it represents a negative number.
Example 2: -5 = (-5)
The absolute value of a number is its distance on the number line from zero. The absolute value of a number is always positive.
Example 3: (-6) and (+6) are both six units from zero. The absolute value of (-6) and (+6) is 6.
We write:
You can look at the absolute value of an integer as the integer after removing the sign. For example, the absolute value of -5 is 5 and the absolute value of +3 is 3.
5.2 Adding Integers
If an integer is written without its sign, that means it is a positive integer and you can write it with its positive sign to make comparing signs easier. For example, you can write 7 as (+7).
To add integers:
If they have the same sign, add their absolute values and keep the sign.
Example 4: Evaluate
Example 5: Evaluate
If they have different signs, subtract their absolute values and keep the sign of the integer with the larger absolute value
Example 6: Evaluate
Example 7: Evaluate
If adding more than two integers, group the positive and the negative integers, get a subtotal of the positive and the negative integers, and finally subtract the absolute values of the subtotals and keep the sign of the bigger
Arithmetic
Chapter 5
Integers and The Order of Operations
5.1 Integers and Absolute Value
5.2 Adding Integers
5.3 Subtracting Integers
5.4 Multiplying and Dividing Integers
5.5 Order of Operations
5.6 Additional Exercises
5.1 Integers and Absolute Value
The set of integers consists of the numbers {…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}
Positive integers can be written with or without their sign. Sometimes we put a positive integer with its sign in parentheses to emphasize that it represents a positive number.
Example 1: 5 = +5 = (+5)
Negative integers must be written with their sign. We often put a the negative integer with its sign in parentheses to emphasize that it represents a negative number.
Example 2: -5 = (-5)
The absolute value of a number is its distance on the number line from zero. The absolute value of a number is always positive.
Example 3: (-6) and (+6) are both six units from zero. The absolute value of (-6) and (+6) is 6.
We write:
You can look at the absolute value of an integer as the integer after removing the sign. For example, the absolute value of -5 is 5 and the absolute value of +3 is 3.
5.2 Adding Integers
If an integer is written without its sign, that means it is a positive integer and you can write it with its positive sign to make comparing signs easier. For example, you can write 7 as (+7).
To add integers:
If they have the same sign, add their absolute values and keep the sign.
Example 4: Evaluate
Example 5: Evaluate
If they have different signs, subtract their absolute values and keep the sign of the integer with the larger absolute value
Example 6: Evaluate
Example 7: Evaluate
If adding more than two integers, group the positive and the negative integers, get a subtotal of the positive and the negative integers, and finally subtract the absolute values of the subtotals and keep the sign of the bigger