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# Adding and Subtracting Rational Numbers Worksheet

Adding and Subtracting Rational Numbers Worksheet
• 1. If we have a rational number say 3/5, what another rational number can be added to it, so that the result we get is the same rational number 3/5?
1. 1
2. 0
3. 3/5 itself
4. None of these
• 2. If we have a rational number say 2/7, what another rational number can be subtracted from it, so that the result we get is the same rational number 2/7?
1. 1
2. 0
3. 2/7 itself
4. None of these
• 3. If we have a rational number say 4/7, what another rational number can be added to it, so that the result we get is the additive identity (0)  ?
1. 1
2. 0
3. 4/7 itself
4. - 4/7
• 4. If we have two rational numbers say 3/5 and 6/7, then which of the following property shows that 3/5 + 6/7 = 6/7 + 3/5?
1. Associative property
2. Commutative property
4. None of these
• 5. If we have three rational numbers say 7/8, 3/5 and 6/7, then which of the following property shows that (7/8 + 3/5) + 6/7 = 7/8 + (3/5 + 6/7)?
1. Associative property
2. Commutative property
4. None of these
• 6. If we have a rational numbers say 5/7, then if we write 5/7 + 0 = 5/7, then which of the following property is satisfied by the above given equation?
1. Associative property
2. Commutative property
4. None of these
• 7. If we have a rational numbers say 5 / 9, then if we write 5 / 9 + (-5 / 9) = 0, then which of the following property is satisfied by the above given equation?
1. Associative property
2. Commutative property
4. None of these
• 8. If we have a rational number say p1 / q1, then which number of the following rational numbers is called its additive inverse?
1. –p1 / q1
2. q1 / p1
3. 1
4. 0
• 9. Which of the following equations shows the commutative property of addition of the rational numbers?
1. p1 / q1 + p2 / q2 = p2 / q2 + p1 / q1
2. p1 / q1 + (-p1 / q1) = 0
3. (p1 / q1 + p2 / q2) + p3 / q3 = p1 / q1 + (p2 / q2 + p3 / q3)
4. None of these
• 10. Which of the following equations shows the associative property of addition of the rational numbers?
1. p1/q1 + p2/q2 = p2/q2 + p1/q1
2. p1/q1 + (-p1/q1) = 0
3. (p1/q1 + p2/q2) + p3/q3 = p1/q1 + (p2/q2 + p3/q3)
4. None of these
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