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).
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.
What is 1/2 รท 1/4? โ 2.1/2 รท 1/4 = 1/2 ร 4/1 = 4/2 = 2.
What is 2/3 รท 1/3? โ 2.2/3 รท 1/3 = 2/3 ร 3/1 = 6/3 = 2.
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.
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.
What is 4/5 รท 2/5? โ 2.4/5 รท 2/5 = 4/5 ร 5/2 = 20/10 = 2.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Which is greater: GCF or LCM (for two numbers greater than 1)? โ LCM is always โฅ GCF.LCM is always greater than or equal to GCF. (They are equal only when the two numbers are equal.)
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.
What is the absolute value of โ9? โ 9.Absolute value is the distance from zero, always non-negative. |โ9| = 9.
Which number is greater: โ3 or โ8? โ โ3.On a number line, โ3 is to the right of โ8, so โ3 > โ8. A smaller absolute value in the negative direction means a greater number.
What is |0|? โ 0.Zero is 0 units from zero on the number line. |0| = 0.
The point (4, โ2) is in which quadrant? โ Quadrant IV.Positive x and negative y places the point in Quadrant IV (lower right).
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).
Quadrant II has what signs for (x, y)? โ (โ, +).Quadrant II (upper left): x is negative, y is positive. Signs: (โ, +).
Order from least to greatest: 4, โ1, โ7, 0, 3 โ โ7, โ1, 0, 3, 4.On a number line from left to right: โ7, โ1, 0, 3, 4.
Which of these is true about negative numbers? โ They are less than zero.Negative numbers are always less than zero by definition.