Defining Negative Numbers
Negative numbers are numbers less than zero, represented with a minus sign in front, and they describe quantities that exist on the opposite side of zero from positive numbers. A debt of $100 is -100, a temperature of 20 degrees below zero is -20, and an elevation 50 feet below sea level is -50 feet. This Grade 8 math skill from Yoshiwara Core Math Chapter 4 introduces students to the concept and notation of negative numbers, laying the groundwork for all signed number arithmetic. Negative numbers are essential throughout mathematics and appear constantly in real life, from finance and science to temperature and statistics.
Key Concepts
Property A negative number is a number less than zero. The symbol $ $ in front of a number means negative or opposite of.
Examples A debt of 100 dollars is represented by $ 100$ dollars. A location 50 feet below sea level has an elevation of $ 50$ feet. A loss of 5 points in a game is recorded as $ 5$ points.
Explanation Negative numbers represent values less than zero, like debt, temperatures below freezing, or depths below sea level. They are the opposites of positive numbers, existing on the other side of zero.
Common Questions
What is a negative number?
A negative number is any number less than zero. It is written with a minus sign in front, like -5, -3.7, or -100. Negative numbers represent values below zero, deficits, losses, or opposite directions.
What does the minus sign mean in front of a number?
The minus sign in front of a number means it is negative, or the opposite of the positive version. -7 is the opposite of 7. On a number line, negative numbers appear to the left of zero.
What are real-world examples of negative numbers?
Real-world negative numbers include temperatures below freezing (-10 degrees Celsius), debt (-$50 means you owe $50), elevation below sea level (-20 feet), and a stock price decrease of -$3 per share.
When do 8th graders learn about negative numbers?
Students study negative numbers in Grade 8 math as part of Chapter 4 of Yoshiwara Core Math, which covers calculation with signed numbers. Some students encounter negative numbers earlier, but this course formalizes the concept.
Where are negative numbers on the number line?
Negative numbers are to the left of zero on a horizontal number line or below zero on a vertical number line. The further left (or down) a number is, the more negative it is. -10 is less than -3 because -10 is further from zero in the negative direction.
How are negative and positive numbers related?
Positive and negative numbers are opposites. Every positive number has a corresponding negative: 5 and -5. They are the same distance from zero but in opposite directions. Together with zero, they make up all integers.