MATHEMATICS INTEGERS

• The absolute value of a number can be determined without drawing a number line by following these rules: Rule 1: If the number is positive, the absolute value of the number is itself.
• If the number is negative, drop the negative sign.
• By the Zero Property of Multiplication, the answer to the equation π x 0 is 0.
• By the Zero Property of Multiplication, the answer to the equation 1 000 000 x 0 is 0.
• The absolute value of 9 is simply 9 using rule 1.
• To add integers with different signs, subtract the absolute values of the given numbers and put the sign of the integer with a larger absolute value to the number you have obtained from the subtraction.
• The absolute value of –16 is 16 using rule 2.
• The sum of –210 and –172 is –382.
• The sign of 47 must be positive.
• The absolute value of 0, –321, 1500, and -9000 can be determined without drawing a number line.
• –19 – (-5) = –24.
• The rules for multiplying integers are simple: if the integers have the same signs, multiply the integers and put a positive sign in the resulting integer.
• This means that we need to add integers with the same signs.
• Using the rules for adding integers with the same signs: –19 + (-5) = –24.
• Finding the absolute value of a number is essential in adding and subtracting integers.
• We have obtained –19 + (-5) from Step 1.
• The answer is –24.
• Multiplying integers is a lot easier than adding or subtracting integers.
• Before adding integers, it's important to determine whether the given integers have the same or different signs.
• If the integers have the same signs, divide the integers and put a positive sign to the resulting integer.
• Dividing integers is just multiplying an integer by the multiplicative inverse or the reciprocal of the other.
• Multiplying a Number by Zero (0) results in 0.
• If the integers have different signs, multiply the integers and put a negative sign in the resulting integer.
• When multiplying integers, remember that SAME SIGNS = POSITIVE, UNLIKE SIGNS = NEGATIVE.
• Multiplying two positive integers results in a positive integer.
• If the integers have unlike or different signs, divide the integers and put a negative sign to the resulting integer.
• Multiplying two negative integers results in a positive integer.
• Integers have the same signs if both of them are positive or both of them are negative.
• Integers have different signs if one of them is positive and one of them is negative.
• To add integers with the same signs (either both are positive or both are negative), add the absolute values of the given integers and put the common sign to the number you have obtained from the addition.
• The answer to the example problem 15 + 32 = ? is 47.
• The answer to the problem 15 + 32 using the steps on adding integers with the same signs is 47.
• The absolute value of –19 is 19, while the absolute value of 5 is 5.
• The absolute value of –90 is 90, while the absolute value of 32 is 32.
• Subtracting integers involves subtracting the absolute values of the given numbers and putting the sign of the integer with a larger absolute value to the result obtained from the first step.
• Subtracting the absolute values (larger – smaller): –19 – 5 = –14.
• Subtracting the absolute values (larger – smaller): 90 – 32 = 58.
• The absolute value of –19 is larger than that of 5, and –19 is negative, therefore, the result obtained from the first step must be a negative integer.
• Subtracting the absolute values (larger – smaller): 32 – 15 = 17.
• Adding integers involves adding the absolute values of the given numbers and putting the sign of the integer with a larger absolute value to the result obtained from the first step.