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  1. My Subjects
  3. 7th Grade Math

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7th Grade Math Flashcards: Multiply Rational Numbers

Study Multiply Rational Numbers in 7th Grade Math with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

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What this deck covers

This deck focuses on Multiply Rational Numbers, giving you a quick way to review the definitions, rules, and examples that matter most for 7th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

7th Grade Math Flashcards: Multiply Rational Numbers

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QUESTION

Use distribution: What is −2(12+32)-2\left(\frac{1}{2}+\frac{3}{2}\right)−2(21​+23​)?

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ANSWER

−4-4−4. −2(12+32)=−2(2)=−4-2(\frac{1}{2}+\frac{3}{2}) = -2(2) = -4−2(21​+23​)=−2(2)=−4.

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Flashcard 1: Use distribution: What is −2(12+32)-2\left(\frac{1}{2}+\frac{3}{2}\right)−2(21​+23​)?

Answer: −4-4−4. −2(12+32)=−2(2)=−4-2(\frac{1}{2}+\frac{3}{2}) = -2(2) = -4−2(21​+23​)=−2(2)=−4.

Flashcard 2: What is the value of rac{-5}{6} imes rac{-3}{10} in simplest form?

Answer: rac{1}{4}. Negative times negative = positive; simplify: rac{15}{60} = rac{1}{4}.

Flashcard 3: What is (−1)(1)(-1)(1)(−1)(1)?

Answer: −1-1−1. Negative times positive equals negative.

Flashcard 4: What is the value of (−1)(−1)(-1)(-1)(−1)(−1)?

Answer: 111. Negative times negative equals positive.

Flashcard 5: What is the value of (−4)(−6)(-4)(-6)(−4)(−6)?

Answer: 242424. Two negatives multiply to positive: (−4)(−6)=24(-4)(-6) = 24(−4)(−6)=24.

Flashcard 6: What is the value of (−6)(−2)(-6)(-2)(−6)(−2)?

Answer: 121212. Same signs: (−6)(−2)=12(-6)(-2) = 12(−6)(−2)=12.

Flashcard 7: What is (−34)(89)\left(-\frac{3}{4}\right)\left(\frac{8}{9}\right)(−43​)(98​)?

Answer: −23-\frac{2}{3}−32​. −34×89=−2436=−23-\frac{3}{4} \times \frac{8}{9} = -\frac{24}{36} = -\frac{2}{3}−43​×98​=−3624​=−32​.

Flashcard 8: Identify the property shown: a(b+c)=ab+aca(b+c)=ab+aca(b+c)=ab+ac.

Answer: Distributive property. Multiplication distributes over addition.

Flashcard 9: What is the value of −23×94\frac{-2}{3} \times \frac{9}{4}3−2​×49​?

Answer: −32\frac{-3}{2}2−3​. Multiply numerators and denominators: −1812=−32\frac{-18}{12} = \frac{-3}{2}12−18​=2−3​

Flashcard 10: What is (1)(−1)(1)(-1)(1)(−1)?

Answer: −1-1−1. Positive times negative equals negative.

Flashcard 11: What is the value of 0imes(−9)0 imes (-9)0imes(−9)?

Answer: 000. Zero times any number equals zero.

Flashcard 12: What is the sign of a product when one factor is negative and the other is positive, such as (−3)(+5)(-3)(+5)(−3)(+5)?

Answer: Negative. A positive times a negative (or vice versa) always gives a negative product.

Flashcard 13: State the sign of the product when multiplying two numbers with the same sign.

Answer: Positive. Same signs always give a positive product.

Flashcard 14: What is the value of (−0.6)(5)(-0.6)(5)(−0.6)(5)?

Answer: −3-3−3. Negative times positive gives negative: (−0.6)(5)=−3(-0.6)(5) = -3(−0.6)(5)=−3.

Flashcard 15: What is the value of (−1)(7)(-1)(7)(−1)(7)?

Answer: −7-7−7. Negative one times any number gives its opposite.

Flashcard 16: What is the value of rac{-2}{3} imes rac{9}{4}?

Answer: rac{-3}{2}. Multiply numerators and denominators: rac{-2 imes 9}{3 imes 4} = rac{-18}{12} = rac{-3}{2}.

Flashcard 17: What is the value of (1)(−9)(1)(-9)(1)(−9)?

Answer: −9-9−9. Positive times negative gives negative.

Flashcard 18: What does (-2)(-6)=12 represent if −2-2−2 means 222 units below 000 and −6-6−6 means reversing direction 666 times?

Answer: Reversing a negative gives a positive result: 121212 units above 000. Reversing a negative direction results in positive movement.

Flashcard 19: What is the sign of a product when both factors are positive, such as (+3)(+5)(+3)(+5)(+3)(+5)?

Answer: Positive. Two positive numbers always multiply to give a positive product.

Flashcard 20: Interpret the context: A bank balance changes by (−8)(-8)(−8) dollars per day for 555 days. What is the total change?

Answer: −40-40−40 dollars. (−8)×5=−40(-8) \times 5 = -40(−8)×5=−40 dollars total change.

Flashcard 21: What is (35)(−10)\left(\frac{3}{5}\right)\left(-10\right)(53​)(−10)?

Answer: −6-6−6. 35×(−10)=−305=−6\frac{3}{5} \times (-10) = -\frac{30}{5} = -653​×(−10)=−530​=−6.

Flashcard 22: What is the value of (0)(-15)?

Answer: 000. Zero times any number equals zero.

Flashcard 23: Find the missing number: (-1)(oxed{~})=8.

Answer: −8-8−8. Since (−1)(−8)=8(-1)(-8) = 8(−1)(−8)=8, the missing number is −8-8−8.

Flashcard 24: What is (−1)(0)(-1)(0)(−1)(0)?

Answer: 000. Any number times zero equals zero.

Flashcard 25: What is (−23)(−9)\left(-\frac{2}{3}\right)\left(-9\right)(−32​)(−9)?

Answer: 666. Negative times negative equals positive.

Flashcard 26: Which expression is equivalent to −4(x−3)-4(x-3)−4(x−3)?

Answer: −4x+12-4x+12−4x+12. Distribute −4-4−4: −4(x)+−4(−3)=−4x+12-4(x) + -4(-3) = -4x + 12−4(x)+−4(−3)=−4x+12.

Flashcard 27: What is the value of -3igl(4+(-2)igr)?

Answer: −6-6−6. First simplify inside: 4+(−2)=24 + (-2) = 24+(−2)=2, then −3(2)=−6-3(2) = -6−3(2)=−6.

Flashcard 28: What is the value of (−3)(4)(-3)(4)(−3)(4)?

Answer: −12-12−12. Different signs: (−3)(4)=−12(-3)(4) = -12(−3)(4)=−12.

Flashcard 29: State the sign of the product when multiplying two numbers with different signs.

Answer: Negative. Different signs always give a negative product.

Flashcard 30: What is the value of −2(3)+−2(5)-2(3)+-2(5)−2(3)+−2(5)?

Answer: −16-16−16. Distributive property: −6+−10=−16-6 + -10 = -16−6+−10=−16.

Flashcard 31: What is (−3)(−4)(-3)(-4)(−3)(−4)?

Answer: 121212. Two negatives multiply to give positive.

Flashcard 32: What is the value of −2(3+5)-2(3+5)−2(3+5)?

Answer: −16-16−16. First add inside parentheses: −2(8)=−16-2(8) = -16−2(8)=−16.

Flashcard 33: What does the product (-3)(4) represent for a 444-day change of -3 units per day?

Answer: A total change of -12 units. Repeated addition: 444 days of −3-3−3 units each.

Flashcard 34: What is (−1)(−1)(-1)(-1)(−1)(−1)?

Answer: 111. Negative times negative equals positive.

Flashcard 35: What is the value of 78×−47\frac{7}{8} \times \frac{-4}{7}87​×7−4​?

Answer: −12\frac{-1}{2}2−1​. Cancel 777s: −48=−12\frac{-4}{8} = \frac{-1}{2}8−4​=2−1​

Flashcard 36: Use distribution: What is −3(2−5)-3(2-5)−3(2−5)?

Answer: 999. −3(2−5)=−3(−3)=9-3(2-5) = -3(-3) = 9−3(2−5)=−3(−3)=9.

Flashcard 37: What is the sign of a product when both factors are negative, such as (−3)(−5)(-3)(-5)(−3)(−5)?

Answer: Positive. Two negatives multiply to give a positive (negative × negative = positive).

Flashcard 38: What is the value of (1)(−7)(1)(-7)(1)(−7)?

Answer: −7-7−7. Positive times negative gives negative result.

Flashcard 39: What is (−23)(9)\left(-\frac{2}{3}\right)\left(9\right)(−32​)(9)?

Answer: −6-6−6. −23×9=−183=−6-\frac{2}{3} \times 9 = -\frac{18}{3} = -6−32​×9=−318​=−6.

Flashcard 40: What is the value of (−4)(6)(-4)(6)(−4)(6)?

Answer: −24-24−24. Negative times positive gives negative: (−4)(6)=−24(-4)(6) = -24(−4)(6)=−24.

Flashcard 41: Interpret the context: A diver moves −3-3−3 meters each second for 444 seconds. What is the total vertical change?

Answer: −12-12−12 meters. (−3)×4=−12(-3) \times 4 = -12(−3)×4=−12 meters total descent.

Flashcard 42: What is the value of (−3)(12)(-3)\big( \frac{1}{2} \big)(−3)(21​)?

Answer: −32\frac{-3}{2}2−3​. Negative times positive fraction gives negative.

Flashcard 43: What is the value of −3(4+2)-3(4+2)−3(4+2)?

Answer: −18-18−18. Distribute −3-3−3: −3(4)+−3(2)=−12+−6=−18-3(4) + -3(2) = -12 + -6 = -18−3(4)+−3(2)=−12+−6=−18.

Flashcard 44: What is the value of (0.6)(−5)(0.6)(-5)(0.6)(−5)?

Answer: −3-3−3. Positive times negative: 0.6imes−5=−30.6 imes -5 = -30.6imes−5=−3.

Flashcard 45: What is the value of −56×−310\frac{-5}{6}\times\frac{-3}{10}6−5​×10−3​?

Answer: 14\frac{1}{4}41​. Two negatives: 1560=14\frac{15}{60} = \frac{1}{4}6015​=41​.

Flashcard 46: Which property is shown by ab=baab=baab=ba and still holds for rational numbers?

Answer: Commutative property of multiplication. Order doesn't matter when multiplying: ab=baab = baab=ba.

Flashcard 47: What is 0⋅(−57)0\cdot\left(-\frac{5}{7}\right)0⋅(−75​)?

Answer: 000. Zero times any number equals zero.

Flashcard 48: What is the sign of the product when multiplying two negative rational numbers?

Answer: Positive. Two negatives multiply to give a positive result.

Flashcard 49: What property justifies rewriting a(b+c)a(b+c)a(b+c) as ab+acab+acab+ac for rational numbers?

Answer: Distributive property. Allows multiplying each term inside parentheses separately.

Flashcard 50: Which property is shown by (ab)c=a(bc)(ab)c=a(bc)(ab)c=a(bc) and still holds for rational numbers?

Answer: Associative property of multiplication. Grouping doesn't matter when multiplying: (ab)c=a(bc)(ab)c = a(bc)(ab)c=a(bc).

Flashcard 51: What does (−3)(5)(-3)(5)(−3)(5) represent if −3-3−3 means “a loss of \3”and” and ”and5$ is the number of days?

Answer: A total loss of \15$. Negative (loss) times positive (days) = total negative (total loss).

Flashcard 52: What property is shown by a(b+c)=ab+aca(b+c)=ab+aca(b+c)=ab+ac and is used to extend multiplication to signed numbers?

Answer: Distributive property. Allows multiplication over addition: a(b+c)=ab+aca(b+c) = ab + aca(b+c)=ab+ac.

Flashcard 53: What is −(27)⋅(−14)-\left(\frac{2}{7}\right)\cdot\left(-14\right)−(72​)⋅(−14)?

Answer: 444. −27×(−14)=287=4-\frac{2}{7} \times (-14) = \frac{28}{7} = 4−72​×(−14)=728​=4.

Flashcard 54: What is the sign of the product when multiplying a positive and a negative rational number?

Answer: Negative. Different signs multiply to give a negative product.

Flashcard 55: What is (−56)(−310)\left(-\frac{5}{6}\right)\left(-\frac{3}{10}\right)(−65​)(−103​)?

Answer: 14\frac{1}{4}41​. −56×−310=1560=14-\frac{5}{6} \times -\frac{3}{10} = \frac{15}{60} = \frac{1}{4}−65​×−103​=6015​=41​.

Flashcard 56: What is the value of (−2.5)(−4)(-2.5)(-4)(−2.5)(−4)?

Answer: 101010. Two negatives make positive: 2.5imes4=102.5 imes 4 = 102.5imes4=10.

Flashcard 57: What is (−3)(4)(-3)(4)(−3)(4)?

Answer: −12-12−12. Negative times positive gives negative product.