Grade 7 The Number System Practice โ€” Easy

Question 1 of 28Score 0/0Easy

Question 1 of 28: What is the result of (โˆ’4) ร— (โˆ’5)?

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Keep going: Read the lesson: Operations with Rational Numbers Number Line Plotter Fraction Simplifier
Answer key for parents & teachers (28 questions)
  1. What is the result of (โˆ’4) ร— (โˆ’5)? โ€” 20. Negative ร— Negative = Positive. (โˆ’4) ร— (โˆ’5) = +20.
  2. What is (โˆ’18) รท (6)? โ€” โˆ’3. Different signs โ†’ negative. โˆ’18 รท 6 = โˆ’3.
  3. What is โˆ’7 + (โˆ’3)? โ€” โˆ’10. Same signs (both negative): add absolute values and keep the negative sign. 7 + 3 = 10, so โˆ’7 + (โˆ’3) = โˆ’10.
  4. What is โˆ’5 โˆ’ (โˆ’8)? โ€” 3. Subtracting a negative means adding: โˆ’5 โˆ’ (โˆ’8) = โˆ’5 + 8 = 3.
  5. What is (โˆ’3/4) ร— (8)? โ€” โˆ’6. (โˆ’3/4) ร— 8 = โˆ’24/4 = โˆ’6. Different signs give a negative result.
  6. Evaluate: (โˆ’6) รท (โˆ’2) โ€” 3. Same signs โ†’ positive. (โˆ’6) รท (โˆ’2) = +3.
  7. The temperature is โˆ’15ยฐF and drops 7ยฐF. What is the new temperature? โ€” โˆ’22ยฐF. โˆ’15 + (โˆ’7) = โˆ’22ยฐF. Both are negative: add and keep the negative sign.
  8. Which expression is equivalent to 6 โˆ’ (โˆ’4)? โ€” 6 + 4. Subtracting a negative is the same as adding the positive: 6 โˆ’ (โˆ’4) = 6 + 4 = 10.
  9. A diver is at โˆ’18 meters. She rises 5 meters. What is her new depth? โ€” โˆ’13 m. โˆ’18 + 5 = โˆ’13 meters (13 meters below the surface).
  10. What is (โˆ’2.5) ร— (4)? โ€” โˆ’10. Negative ร— Positive = Negative. 2.5 ร— 4 = 10, so the answer is โˆ’10.
  11. What type of decimal is 1/4? โ€” Terminating decimal. 1/4 = 0.25. It terminates (ends) after two decimal places.
  12. What is 1/3 as a decimal? โ€” 0.333โ€ฆ. 1 รท 3 = 0.333โ€ฆ The 3 repeats forever. Written as 0.ฬ„3.
  13. Which fraction has a terminating decimal? โ€” 1/4. 1/4 = 0.25 (terminates). Fractions with denominators having only factors of 2 and 5 terminate.
  14. What is 3/4 as a decimal? โ€” 0.75. 3 รท 4 = 0.75. This is a common fraction-decimal conversion to memorize.
  15. Which decimal is equivalent to 2/3? โ€” 0.666โ€ฆ. 2 รท 3 = 0.666โ€ฆ The digit 6 repeats infinitely. Written as 0.6ฬ„.
  16. What is 1/8 as a decimal? โ€” 0.125. 1 รท 8 = 0.125. The decimal terminates because 8 = 2ยณ.
  17. A rational number's decimal expansion will always: โ€” Either terminate or repeat in a pattern. By definition, a rational number (p/q) produces a decimal that either terminates or eventually repeats.
  18. How do you convert a fraction to a decimal? โ€” Divide numerator by denominator. Divide the top (numerator) by the bottom (denominator). Example: 3/5 = 3 รท 5 = 0.6.
  19. What is the absolute value of โˆ’9? โ€” 9. Absolute value is the distance from 0, so |โˆ’9| = 9.
  20. What is |0|? โ€” 0. The absolute value of 0 is 0. Zero is at distance 0 from itself.
  21. Which number has the greatest absolute value? โ€” โˆ’15. |โˆ’15| = 15, |12| = 12, |โˆ’8| = 8, |10| = 10. The greatest is 15, from โˆ’15.
  22. What is |โˆ’3.5 โˆ’ 2|? โ€” 5.5. โˆ’3.5 โˆ’ 2 = โˆ’5.5. |โˆ’5.5| = 5.5.
  23. Can absolute value ever be negative? โ€” No, absolute value is always โ‰ฅ 0. Absolute value represents distance, which is never negative. |x| โ‰ฅ 0 for all x.
  24. What is the distance between โˆ’7 and 3 on the number line? โ€” 10. |โˆ’7 โˆ’ 3| = |โˆ’10| = 10. Or count from โˆ’7 to 3: 10 units.
  25. What is |4 โˆ’ 9|? โ€” 5. 4 โˆ’ 9 = โˆ’5. |โˆ’5| = 5.
  26. What is |6| + |โˆ’6|? โ€” 12. |6| = 6 and |โˆ’6| = 6. So 6 + 6 = 12.
  27. Two numbers have the same absolute value but different signs. What are they? โ€” They are opposites, like 7 and โˆ’7. Numbers with the same absolute value but different signs are called opposites. Example: 7 and โˆ’7 both have |7| = 7.
  28. What is the absolute value of (โˆ’3/5)? โ€” 3/5. |โˆ’3/5| = 3/5. Absolute value simply removes the negative sign.