6th Grade Math Flashcards: Position Rational Numbers On Diagrams

What this deck covers

This deck focuses on Position Rational Numbers On Diagrams, giving you a quick way to review the definitions, rules, and examples that matter most for 6th 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.

Flashcard 1: Identify the location of the point $(0,-3)$.

Answer: On the $y$-axis, $3$ units below the origin. $x=0$ means on $y$-axis; $y=-3$ means 3 units down.

Flashcard 2: Identify the point: move $4$ units left and $5$ units up from the origin.

Answer: $(-4,5)$. Left is negative $x$, up is positive $y$.

Flashcard 3: In an ordered pair $(x,y)$, which coordinate tells left or right position on the plane?

Answer: The $x$-coordinate. First coordinate controls horizontal position.

Flashcard 4: Which point lies on the $x$-axis: $(3,\ 0)$ or $(0,\ 3)$?

Answer: $(3,\ 0)$. Points on the $x$-axis have $y=0$, so $(3, 0)$ lies on the $x$-axis.

Flashcard 5: Which number is greater on a number line: $-3$ or $-5$?

Answer: $-3$. $-3$ is to the right of $-5$ on the number line.

Flashcard 6: Which axis contains all points of the form $(0,y)$?

Answer: The $y$-axis. Points with $x=0$ lie on the vertical axis.

Flashcard 7: Identify the correct order from least to greatest: $-1,\ 0,\ -3,\ 2$.

Answer: $-3,\ -1,\ 0,\ 2$. Order negative numbers by magnitude, then place positives after zero.

Flashcard 8: Which quadrant contains the point $(4,-1)$?

Answer: Quadrant IV. Quadrant IV has positive $x$ and negative $y$.

Flashcard 9: What is the opposite of a number $a$ on a number line?

Answer: $-a$. The opposite of any number $a$ is its negative, which equals $-a$.

Flashcard 10: Which number is farther right on a number line: $-3$ or $2$?

Answer: $2$. Positive numbers are always right of negative numbers.

Flashcard 11: Which point is higher on a vertical number line: $-2$ or $4$?

Answer: $4$. Positive numbers are always higher than negative numbers on vertical lines.

Flashcard 12: What are the coordinates of the origin on the coordinate plane?

Answer: $(0,0)$. The origin is where both axes intersect.

Flashcard 13: What are the coordinates of the point on the $y$-axis with $y=-4$?

Answer: $(0,\ -4)$. Points on the $y$-axis have $x=0$, so the coordinates are $(0, -4)$.

Flashcard 14: What is the value of the point halfway between $-4$ and $2$ on a number line?

Answer: $-1$. Average the endpoints: $\frac{-4+2}{2} = -1$.

Flashcard 15: What does it mean for a number to be to the right of another number on a number line?

Answer: It is greater: if $a$ is right of $b$, then $a>b$. Numbers increase from left to right on horizontal number lines.

Flashcard 16: What does absolute value represent on a number line?

Answer: Distance from $0$. Absolute value measures how far a number is from zero.

Flashcard 17: Identify the quadrant for the point $(-4,5)$.

Answer: Quadrant $II$. Quadrant II has negative $x$ and positive $y$.

Flashcard 18: Identify the point farther from $0$: $-\frac{7}{3}$ or $\frac{5}{2}$.

Answer: $\frac{5}{2}$. $|-\frac{7}{3}| = \frac{7}{3} \approx 2.33$ and $|\frac{5}{2}| = 2.5$, so $\frac{5}{2}$ is farther.

Flashcard 19: What point is at the origin of the coordinate plane?

Answer: $(0,\ 0)$. The origin is where both axes intersect, at coordinates zero, zero.

Flashcard 20: Identify the point with $x=-2$ and $y=5$ in ordered-pair form.

Answer: $(-2,\ 5)$. Write coordinates as an ordered pair with $x$ first, then $y$.

Flashcard 21: Identify the quadrant for the point $(2,-7)$.

Answer: Quadrant $IV$. Quadrant IV has positive $x$ and negative $y$.

Flashcard 22: Which quadrant contains the point $(-2,3)$?

Answer: Quadrant II. Quadrant II has negative $x$ and positive $y$.

Flashcard 23: In an ordered pair $(x,y)$, which coordinate tells up or down position on the plane?

Answer: The $y$-coordinate. Second coordinate controls vertical position.

Flashcard 24: Identify the correct order from least to greatest: $-1$, $0$, $-2$, $3$.

Answer: $-2, -1, 0, 3$. Arrange from smallest (most negative) to largest.

Flashcard 25: Which axis contains points with $y=0$?

Answer: The $x$-axis. Points on horizontal axis have zero vertical displacement.

Flashcard 26: What is the correct coordinate format for a point on the coordinate plane?

Answer: $(x,\ y)$. Ordered pairs always list the $x$-coordinate first, then $y$-coordinate.

Flashcard 27: What is the $x$-coordinate of a point in the coordinate plane?

Answer: The horizontal value (left or right). First coordinate shows position along horizontal axis.

Flashcard 28: Which quadrant contains the point $(-3,\ -2)$?

Answer: Quadrant $\mathrm{III}$. Both coordinates are negative, placing the point in the third quadrant.

Flashcard 29: Which axis contains points with $x=0$?

Answer: The $y$-axis. Points on vertical axis have zero horizontal displacement.

Flashcard 30: What number is exactly halfway between $-2$ and $6$ on a number line?

Answer: $2$. The midpoint formula gives $\frac{-2+6}{2} = \frac{4}{2} = 2$.

Flashcard 31: What is the absolute value of $-\frac{5}{2}$?

Answer: $\frac{5}{2}$. Absolute value removes the negative sign, giving the positive value.

Flashcard 32: Where is $1.25$ located on a number line relative to $1$ and $2$?

Answer: Between $1$ and $2$. $1.25 = 1\frac{1}{4}$, which is one-fourth past $1$.

Flashcard 33: In an ordered pair $(x,y)$, which coordinate is written first?

Answer: The $x$-coordinate. Standard notation always lists $x$ before $y$.

Flashcard 34: What is the $y$-coordinate of a point in the coordinate plane?

Answer: The vertical value (up or down). Second coordinate shows position along vertical axis.

Flashcard 35: Which number is farther left on a number line: $-7$ or $-2$?

Answer: $-7$. Smaller negative numbers are farther left.

Flashcard 36: Which point is farther right: $(-1,2)$ or $(3,2)$?

Answer: $(3,2)$. Compare $x$-coordinates: $3>-1$, so $(3,2)$ is farther right.

Flashcard 37: What is the ordered pair for a point with $x=3$ and $y=-2$ on the coordinate plane?

Answer: $(3,-2)$. Write coordinates as $(x,y)$ in that order.

Flashcard 38: Which is closer to $0$ on a number line: $-\frac{3}{4}$ or $\frac{2}{3}$?

Answer: $\frac{2}{3}$. $\frac{2}{3} \approx 0.67$ is closer to $0$ than $|-\frac{3}{4}| = 0.75$.

Flashcard 39: What does a positive number mean on a vertical number line?

Answer: A value located above $0$. Positive numbers are positioned above zero on vertical number lines.

Flashcard 40: Identify the point halfway between $-2$ and $4$ on a number line.

Answer: $1$. Average the endpoints: $\frac{-2+4}{2}=\frac{2}{2}=1$.

Flashcard 41: Which point is farther right on a number line: $-3$ or $-5$?

Answer: $-3$. On a number line, $-3$ is closer to zero than $-5$, so it's farther right.

Flashcard 42: Which axis contains all points of the form $(x,0)$?

Answer: The $x$-axis. Points with $y=0$ lie on the horizontal axis.

Flashcard 43: Which number is farther to the left on a number line: $-1$ or $2$?

Answer: $-1$. Negative numbers are left of zero; positive numbers are right.

Flashcard 44: Identify the location of the point $(5,0)$.

Answer: On the $x$-axis, $5$ units right of the origin. $y=0$ means on $x$-axis; $x=5$ means 5 units right.

Flashcard 45: What does a negative number mean on a horizontal number line?

Answer: A value located to the left of $0$. Negative numbers are positioned left of zero on horizontal number lines.

Flashcard 46: What does it mean for a number to be above another number on a vertical number line?

Answer: It is greater: if $a$ is above $b$, then $a>b$. Numbers increase from bottom to top on vertical number lines.

Flashcard 47: Identify the point: move $3$ units right and $2$ units down from the origin.

Answer: $(3,-2)$. Right is positive $x$, down is negative $y$.