Topic: Introduction to Integers Questions and Answers
:Question: What are integers?
Answer: Integers are a set of numbers that include all whole numbers and their
negative counterparts. This means integers include positive numbers, negative
numbers, and zero. For example, -3, -2, -1, 0, 1, 2, and 3 are all integers.
Question: How are integers represented on a number line?
Answer: Integers are represented on a number line with zero at the center. Positive
integers are placed to the right of zero, while negative integers are placed to the left.
The distance between each integer is uniform.
Question: What is the absolute value of an integer?
Answer: The absolute value of an integer is the distance of that integer from zero on
the number line, regardless of direction. It is always a non-negative number. For
example, the absolute value of -5 is 5, and the absolute value of 5 is also 5.
Question: How do you add two integers with the same sign?
Answer: When adding two integers with the same sign, you add their absolute values
and keep the common sign. For example, -4 + -3 equals -7, and 4 + 3 equals 7.
Question: How do you add two integers with different signs?
Answer: When adding two integers with different signs, you subtract the smaller
absolute value from the larger absolute value and take the sign of the number with the
larger absolute value. For example, 5 + (-3) equals 2, and -5 + 3 equals -2.
Question: What is the rule for subtracting integers?
Answer: To subtract an integer, you add its opposite. For example, to subtract -3 from
7, you would add the opposite of -3, which is 3, to 7: 7 - (-3) = 7 + 3 = 10.
Question: How do you multiply two integers?
Answer: When multiplying two integers, if both integers have the same sign, the
product is positive. If the integers have different signs, the product is negative. For
example, (-4) × (-2) = 8, and (-4) × 2 = -8.
Question: How do you divide two integers?
Answer: When dividing two integers, the same rule as multiplication applies. If both
integers have the same sign, the quotient is positive. If the integers have different
signs, the quotient is negative. For example, 10 ÷ 2 = 5 and -10 ÷ 2 = -5.
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:Question: What are integers?
Answer: Integers are a set of numbers that include all whole numbers and their
negative counterparts. This means integers include positive numbers, negative
numbers, and zero. For example, -3, -2, -1, 0, 1, 2, and 3 are all integers.
Question: How are integers represented on a number line?
Answer: Integers are represented on a number line with zero at the center. Positive
integers are placed to the right of zero, while negative integers are placed to the left.
The distance between each integer is uniform.
Question: What is the absolute value of an integer?
Answer: The absolute value of an integer is the distance of that integer from zero on
the number line, regardless of direction. It is always a non-negative number. For
example, the absolute value of -5 is 5, and the absolute value of 5 is also 5.
Question: How do you add two integers with the same sign?
Answer: When adding two integers with the same sign, you add their absolute values
and keep the common sign. For example, -4 + -3 equals -7, and 4 + 3 equals 7.
Question: How do you add two integers with different signs?
Answer: When adding two integers with different signs, you subtract the smaller
absolute value from the larger absolute value and take the sign of the number with the
larger absolute value. For example, 5 + (-3) equals 2, and -5 + 3 equals -2.
Question: What is the rule for subtracting integers?
Answer: To subtract an integer, you add its opposite. For example, to subtract -3 from
7, you would add the opposite of -3, which is 3, to 7: 7 - (-3) = 7 + 3 = 10.
Question: How do you multiply two integers?
Answer: When multiplying two integers, if both integers have the same sign, the
product is positive. If the integers have different signs, the product is negative. For
example, (-4) × (-2) = 8, and (-4) × 2 = -8.
Question: How do you divide two integers?
Answer: When dividing two integers, the same rule as multiplication applies. If both
integers have the same sign, the quotient is positive. If the integers have different
signs, the quotient is negative. For example, 10 ÷ 2 = 5 and -10 ÷ 2 = -5.
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