Grade 6 The Number System Practice โ€” Easy

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Question 1 of 26: What is the first step in the Keep-Change-Flip method?

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Answer key for parents & teachers (26 questions)
  1. What is the first step in the Keep-Change-Flip method? โ€” Keep the first fraction as-is. In KCF: KEEP the first fraction unchanged, CHANGE the division sign to multiplication, FLIP the second fraction (reciprocal).
  2. What is the reciprocal of 3/4? โ€” 4/3. The reciprocal of a fraction a/b is b/a. Reciprocal of 3/4 = 4/3.
  3. What is 1/2 รท 1/4? โ€” 2. 1/2 รท 1/4 = 1/2 ร— 4/1 = 4/2 = 2.
  4. What is 2/3 รท 1/3? โ€” 2. 2/3 รท 1/3 = 2/3 ร— 3/1 = 6/3 = 2.
  5. What is 5/6 รท 5/6? โ€” 1. Any number divided by itself = 1. 5/6 รท 5/6 = 5/6 ร— 6/5 = 30/30 = 1.
  6. If you divide a fraction by a fraction less than 1, what happens to the quotient? โ€” It becomes larger than the dividend. Dividing by a fraction less than 1 is like multiplying by a number greater than 1, so the result is larger.
  7. What is 4/5 รท 2/5? โ€” 2. 4/5 รท 2/5 = 4/5 ร— 5/2 = 20/10 = 2.
  8. In the expression (a/b) รท (c/d), which fraction do you flip? โ€” The second fraction (c/d) becomes d/c. In Keep-Change-Flip, you flip only the SECOND fraction (the divisor). The first fraction stays the same.
  9. What does GCF stand for? โ€” Greatest Common Factor. GCF stands for Greatest Common Factor โ€” the largest factor that two or more numbers share.
  10. What does LCM stand for? โ€” Least Common Multiple. LCM stands for Least Common Multiple โ€” the smallest multiple shared by two or more numbers.
  11. What are the factors of 12? โ€” 1, 2, 3, 4, 6, 12. Factors of 12 are all numbers that divide 12 evenly: 1, 2, 3, 4, 6, 12.
  12. What is the GCF of 8 and 12? โ€” 4. Factors of 8: 1, 2, 4, 8. Factors of 12: 1, 2, 3, 4, 6, 12. Common: 1, 2, 4. GCF = 4.
  13. What is the LCM of 3 and 5? โ€” 15. Multiples of 3: 3, 6, 9, 12, 15. Multiples of 5: 5, 10, 15. First common = 15. LCM = 15.
  14. What is the GCF of 6 and 15? โ€” 3. Factors of 6: 1, 2, 3, 6. Factors of 15: 1, 3, 5, 15. Common: 1, 3. GCF = 3.
  15. GCF is primarily used to do what with fractions? โ€” Simplify (reduce) fractions. The GCF of the numerator and denominator is used to simplify fractions to lowest terms.
  16. LCM is primarily used for what operation with fractions? โ€” Finding the least common denominator (LCD) to add or subtract fractions. The LCM of denominators gives the least common denominator (LCD), needed to add or subtract fractions.
  17. Which is greater: GCF or LCM (for two numbers greater than 1)? โ€” LCM is always โ‰ฅ GCF. LCM is always greater than or equal to GCF. (They are equal only when the two numbers are equal.)
  18. Negative numbers are located where on a number line? โ€” To the left of zero. On a horizontal number line, negative numbers are to the left of zero and positive numbers are to the right.
  19. What is the absolute value of โˆ’9? โ€” 9. Absolute value is the distance from zero, always non-negative. |โˆ’9| = 9.
  20. Which number is greater: โˆ’3 or โˆ’8? โ€” โˆ’3. On a number line, โˆ’3 is to the right of โˆ’8, so โˆ’3 > โˆ’8. A smaller absolute value in the negative direction means a greater number.
  21. What is |0|? โ€” 0. Zero is 0 units from zero on the number line. |0| = 0.
  22. The point (4, โˆ’2) is in which quadrant? โ€” Quadrant IV. Positive x and negative y places the point in Quadrant IV (lower right).
  23. What are the coordinates of the origin? โ€” (0, 0). The origin is where the x-axis and y-axis intersect, at coordinates (0, 0).
  24. Quadrant II has what signs for (x, y)? โ€” (โˆ’, +). Quadrant II (upper left): x is negative, y is positive. Signs: (โˆ’, +).
  25. Order from least to greatest: 4, โˆ’1, โˆ’7, 0, 3 โ€” โˆ’7, โˆ’1, 0, 3, 4. On a number line from left to right: โˆ’7, โˆ’1, 0, 3, 4.
  26. Which of these is true about negative numbers? โ€” They are less than zero. Negative numbers are always less than zero by definition.