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What are rational numbers?
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Rational numbers are numbers that can be expressed as a fraction or quotient of two integers, where the denominator is not zero.
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What is the sum of -5/8 and 1/2 in rational numbers?
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To find the sum, convert the fractions to a common denominator: -5/8 + 4/8 = (-5 + 4)/8 = -1/8.
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How can you subtract rational numbers?
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To subtract rational numbers, find a common denominator and subtract the numerators.
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What is the result of adding 3/7 and -2/7?
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To add the fractions, combine the numerators: (3 - 2)/7 = 1/7.
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What must you remember about the sign when subtracting rational numbers?
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Remember to change the sign of the number being subtracted, which is equivalent to adding its opposite.
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Calculate the sum of 2/3 and (-5/6).
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Find a common denominator: 4/6 + (-5/6) = (4 - 5)/6 = -1/6.
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What is the difference between 7/9 and 1/9?
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The difference is (7 - 1)/9 = 6/9, which simplifies to 2/3.
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Explain the process of finding a common denominator.
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A common denominator is a shared multiple of the denominators of the fractions involved. It allows you to add or subtract fractions easily by bringing them to equivalent terms.
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What is the sum of -3/4 and -1/8?
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Convert to a common denominator: -6/8 + -1/8 = (-6 - 1)/8 = -7/8.
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What is the simplified form of the difference between 11/12 and 7/12?
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(11 - 7)/12 = 4/12, which simplifies to 1/3.
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What happens to the signs of numbers in subtraction?
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In subtraction, you switch to addition by adding the opposite of the number being subtracted.
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Calculate 5/6 - (-2/3).
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Convert -2/3 to an addition term: 5/6 + 4/6 = 9/6 = 3/2.
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What is the result of subtracting 3/5 from 9/10?
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Bring to common denominators: 9/10 - 6/10 = 3/10.
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How do you add two positive rational numbers?
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Add the numerators if the denominators are the same, otherwise find a common denominator and then add.
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What is the key rule for changing subtraction to addition when working with rational numbers?
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Change subtraction to addition of the opposite by inverting the sign of the second number.
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