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How do you add integers with the same signs?

A) Subtract the numbers and keep the sign of the larger number.
B) Add the numbers and use the sign of the larger number.
C) Add the numbers and use the sign of the smaller number.
D) Subtract the numbers and use the sign of the smaller number.

User JPCosta
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Final answer:

When adding integers with the same sign, simply add their values and keep the common sign. This operation applies both to adding two positive numbers as well as adding two negative numbers.

Step-by-step explanation:

When you add integers with the same signs, you should follow a simple rule: add the numbers together and keep the common sign. So, the correct answer to 'How do you add integers with the same signs?' is B) Add the numbers and use the sign of the larger number. However, since the two integers have the same sign, you can simplify this rule to just adding the numbers and keeping their sign.

For example, when you add two positive numbers such as 3 and 2, the sum is 5, which is also positive (3+2=5). When adding two negative numbers like -4 and -2, the sum is -6, which retains the negative sign (-4 + (-2) = -6). The simplicity of the rule is evident—add the magnitudes and retain the common sign of the integers.

The basic principle in working with addition and subtraction is to pay attention to the signs and apply the appropriate rules, ensuring that the operation matches the signs of the numbers involved. This principle is crucial when working with whole numbers, fractions, and decimals alike.

User Paul Suart
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