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What can you say about the of two integers with the same signs?
-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.
Is it the same thing with ingers sign when multiplying?
Yes, when multiplying integers, the rules for signs apply consistently. If both integers have the same sign (either both positive or both negative), the product is positive. If the integers have different signs (one positive and one negative), the product is negative. This rule is fundamental in arithmetic involving integers.
If a and b are integers when is the product positive?
When their signs are the same.
Why is it true for any two nonzero integers the product and quotient have the same sign?
For any two nonzero integers, the product and quotient will have the same sign because both operations depend on the signs of the integers involved. If both integers are positive or both are negative, their product is positive and their quotient is also positive. Conversely, if one integer is positive and the other is negative, their product is negative and their quotient is also negative. Thus, in both cases, the product and quotient share the same sign.
Is the product of two integers positive negative or zero How can you tell?
The product of two integers will be: * Zero, if one factor, or both, are zero. * Positive, if both factors have the same sign (both positive, or both negative) * Negative, if the two factors have different signs. Actually, these rules apply to all real numbers, not just to integers.
What happens when we add subtract multiply and divide integers?
When we add or subtract integers, the result depends on their signs: adding two positive numbers or two negative numbers yields a positive or negative result, respectively, while adding a positive and a negative number involves finding the difference between their absolute values and taking the sign of the larger absolute value. Multiplying integers results in a positive product when both integers have the same sign and a negative product when they have different signs. Dividing integers follows the same sign rules as multiplication; the quotient is positive if both integers share the same sign and negative if their signs differ. Overall, operations involving integers adhere to specific rules regarding their signs and absolute values.
What are the rules for multiplying two integers?
When multiplying two integers, the product follows these basic rules: If both integers have the same sign (either both positive or both negative), the product is positive. If the integers have different signs (one positive and one negative), the product is negative. For example, (3 \times 4 = 12) (positive) and (-3 \times -4 = 12) (positive), while (3 \times -4 = -12) (negative).
What is division of integers?
if both have the same sign the answer is positive, if they have different signs the answer is negative.
What is rule of division integers?
if both have the same sign the answer is positive, if they have different signs the answer is negative.
How do you multiply integers with unlike sign?
If the two signs are the same it is positive but if they are both different itis negative
Name the rule for dividing integers with different signs?
The value of the quotient of two integers with different signs is the same as if the signs were the same. Because the numbers have different signs, the quotient is negative.
What is the rule for subtracting integers with the same signs?
if the signs are the same you must add its opposite.
