Directed numbers are integers that have a particular magnitude and direction. Integer can be any number that can’t be decimal or fraction. Check the definition of directed numbers, integers and examples. All 6th-grade math students can know how to use integers as directed numbers and example questions.
Directed Numbers Definition
Directed numbers are the integers that represent a direction either positive or negative. Integers are the numbers that can be positive or negative or 0.
The examples of integers are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . . . The set of integers can be represented by Z.
How to Use Integers?
Integers can be used to perform arithmetic operations like addition, subtraction, multiplication and division. The examples of types of integers are along the lines.
- The profits in a business represent a positive integer, losses mean a negative integer.
- The rise in price represents a positive integer, the fall in the price of a product is a negative integer.
Use of Integers as Directed Numbers
The simple steps to use the integers as directed numbers are mentioned here.
- Draw two perpendicular lines representing east, west in opposite directions.
- North on the top and south on the bottom.
- East and North represent positive integers.
- West, South represents negative integers.
- Locate the number and mark it.
More Related Articles
- Worksheet on Use of Integers as Directed Numbers
- Integers on Number Line Worksheet
- Worksheet on Use of Integers
Example Questions on Integers as Directed NUmbers
Question 1:
What is the meaning of the following expressions?
(i) -15 km to the east
(ii) Profit of -$58
(iii) Ascending -15 feet
Solution:
(i) -15 km to the east = 15 km towards the West
(ii) Profit of -$58 = Loss of $58
(iii) Ascending -15 feet = 15 feet downward movement or descending 15 feet.
Question 2:
A person drives 15 miles due to south and then 10 miles due north. Find his position with respect to his starting point.
Solution:
Let 15 miles due South is represented by +15, then -10 miles represents 10 miles due North.
On adding +15 and -10, we get;
(+15) + (-10) = 15 – 10
= 5
Therefore, the position of the person with respect to his starting point is 5 miles due north.
Question 3:
David has money of Rs 800 in the bank account. He withdraws Rs 500. How much money he had in the bank account?
Solution:
Given that,
David has the money in the bank account = Rs 800
Withdrawl amount = Rs 500
The money he has in the bank account = 800 – 500 = 300
Therefore, the money he has in the bank account = Rs 300
FAQ’s on Use of Integers as Directed Numbers
1. What is a directed number in maths?
The directed numbers are the numbers with both direction and size. One direction is positive and the other is negative.
2. What are the uses of integers in real life?
Integers are useful to compute the efficiency of positive or negative numbers in almost every field. It also helps to know the position.
3. What are directed numbers in integers?
Directed numbers are integers that have a particular magnitude/size and direction.
4. What are the integer rules?
Rules of integers can be defined as follows:
- The Sum of two positive or negative integers is an integer
- The product of two positive or negative integers is an integer.
- The addition between any integer and its negative value results in zero.