Mastering Integers: Understanding and Performing Basic Mathematical Operations

Integer

An integer is a whole number that can be positive, negative, or zero

An integer is a whole number that can be positive, negative, or zero. It does not include fractions or decimals. Examples of integers include -3, 0, 5, and 10. Integers can be added, subtracted, multiplied, and divided just like regular numbers.

When adding or subtracting integers, you need to consider the signs. If the signs are the same (both positive or both negative), you can simply add or subtract their absolute values and keep the same sign. For example, -5 + (-3) = -8.

If the signs are different, you subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value. For example, 8 + (-3) = 5, since the absolute value of 8 is larger than the absolute value of -3.

When multiplying integers, you need to follow the rule:

– Positive × Positive = Positive
– Negative × Negative = Positive
– Positive × Negative = Negative

For example, (-4) × (-2) = 8, since both numbers are negative.

When dividing integers, the rules are similar:

– Positive ÷ Positive = Positive
– Negative ÷ Negative = Positive
– Positive ÷ Negative = Negative

For example, 12 ÷ (-3) = -4, since one number is positive and the other is negative.

It’s important to note that when performing calculations with mixed operations involving addition, subtraction, multiplication, and division, the order of operations (PEMDAS/BODMAS) should be followed. Parentheses, exponents, multiplication/division (performed from left to right), and addition/subtraction (performed from left to right) should be resolved in that order.

I hope this helps in understanding integers and how to work with them in basic mathematical operations. If you have any further questions, feel free to ask!

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