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Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world …
Negative numbers are used in lots of different situations. You read about negative numbers in weather reports and on food packaging. The temperature -5°C is ‘negative five degrees’ and it means 5 degrees below zero.
However, people in India and China have been using negative numbers for millennia. Eventually, the Europeans came around, and we use negative numbers everywhere today. Negative numbers might seem mysterious in math problems. For many people, real-world negative numbers make more sense.
Negative numbers are used in weather forecasting to show the temperature of a region. Negative integers are used to show the temperature on Fahrenheit and Celsius scales.
10 Ways Integers Are In Real Life
You can use integers to help represent many real world situations, such as: Increases and decreases in temperature. Profits and losses of money. Locations above and below sea level.
In Maths, integers are the numbers which can be positive, negative or zero, but cannot be a fraction. These numbers are used to perform various arithmetic operations, like addition, subtraction, multiplication and division. The examples of integers are, 1, 2, 5,8, -9, -12, etc.
Zero is neither positive or negative. It’s bigger than any negative number, but smaller than every positive number.
Integers are important numbers in mathematics. Integers help in computing the efficiency in positive or negative numbers in almost every field. Integers let us know the position where one is standing.
Answer: It refers to a whole number that can be positive, zero, or negative. But, integers cannot be fractions or in decimals, they need to be the whole number.
Lesson Summary Integers are whole numbers, both positive and negative. You can perform four basic math operations on them: addition, subtraction, multiplication, and division.
Multiplication and Division of Integers. RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive.
If the quotient is positive, we know that the two integers are either both positive or both negative. If the quotient is negative, we know that one integer is positive and the other is negative. If the quotient is zero, then we are dividing 0 by some non-zero integer.
The Rules:
Rule | Example | |
---|---|---|
+(+) | Two like signs become a positive sign | 3+(+2) = 3 + 2 = 5 |
−(−) | 6−(−3) = 6 + 3 = 9 | |
+(−) | Two unlike signs become a negative sign | 7+(−2) = 7 − 2 = 5 |
−(+) | 8−(+2) = 8 − 2 = 6 |
When adding positive numbers, count to the right. When adding negative numbers, count to the left. When subtracting positive numbers, count to the left. When subtracting negative numbers, count to the right.
When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.
To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value.
Rule 4: Subtracting a negative number from a positive number—when you see the subtraction (minus) sign followed by a negative sign, turn the two signs into a plus sign. Thus, instead of subtracting a negative, you’re adding a positive, so you have a simple addition problem.
If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.
Multiplying and Dividing with Positive and Negative Numbers. When the signs of the two numbers are the same, the answer will be positive. When the signs of the two numbers are different, the answer will be negative.
Rule 2: A negative number times a positive number equals a negative number. When you multiply a negative number to a positive number, your answer is a negative number. It doesn’t matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.
Rule 3: a negative number divided by a negative number equals a positive number. Two negatives make a positive, so a negative number divided by a negative number equals a positive number. For example, -8 / -2 = 4.
Rule 3: Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, – (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 – –4.
Each number has an “additive inverse” associated to it (a sort of “opposite” number), which when added to the original number gives zero. This is in fact the reason why the negative numbers were introduced: so that each positive number would have an additive inverse.
In the same vein, if you subtract a negative (that is, if you minus a minus), you’re subtracting in the other direction; that is, you’ll be subtracting by moving to the right.
Multiply with Minus One to Convert a Positive Number All you have to do just multiply a negative value with -1 and it will return the positive number instead of negative.
Negative numbers are used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature. The laws of arithmetic for negative numbers ensure that the common-sense idea of an opposite is reflected in arithmetic.