6th Grade Math Flashcards: Understand Opposites On Number Line

What this deck covers

This deck focuses on Understand Opposites On Number Line, 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: What is the opposite of $0$?

Answer: $0$. Zero is its own opposite since it's neither positive nor negative.

Flashcard 2: What is the value of $-(-0)$?

Answer: $0$. Zero remains zero regardless of how many opposites are taken.

Flashcard 3: What is the opposite of a number $a$ on the number line (in words)?

Answer: The number the same distance from $0$ but on the other side. The opposite has equal distance from zero but opposite direction.

Flashcard 4: What is the opposite of $7$?

Answer: $-7$. The opposite changes the sign from positive to negative.

Flashcard 5: Which statement is true: $-5$ is to the left of $0$, or $-5$ is to the right of $0$?

Answer: $-5$ is to the left of $0$. Negative numbers are always positioned left of zero.

Flashcard 6: Which number is on the opposite side of $0$ from $-4$ but the same distance from $0$?

Answer: $4$. Opposites are the same distance from zero on opposite sides.

Flashcard 7: What is the definition of the opposite of a number $a$ on a number line?

Answer: The opposite of $a$ is $-a$, the same distance from $0$ on the other side. Opposites are equidistant from zero on opposite sides.

Flashcard 8: What is the value of $-\left(-\frac{7}{2}\right)$?

Answer: $\frac{7}{2}$. Double negative of a fraction returns the positive fraction.

Flashcard 9: What is the distance between a number $a$ and its opposite $-a$ on the number line?

Answer: $2|a|$. Each is $|a|$ units from zero, so total distance is twice that.

Flashcard 10: What is the opposite of $12$?

Answer: $-12$. The opposite of a positive is the negative with same magnitude.

Flashcard 11: Which number is farther to the right on the number line: $-1$ or $-5$?

Answer: $-1$. Among negatives, smaller absolute value means farther right.

Flashcard 12: What is the opposite of rac{5}{8}?

Answer: -rac{5}{8}. The opposite flips the sign of the fraction.

Flashcard 13: What rule describes the opposite of the opposite of a number $a$?

Answer: The opposite of the opposite of $a$ is $a$. Taking the opposite twice returns to the original number.

Flashcard 14: What is the opposite of $-12$?

Answer: $12$. The opposite changes the sign from negative to positive.

Flashcard 15: What is the opposite of the opposite of a number $a$, written $-(-a)$?

Answer: $a$. Taking the opposite twice returns the original number.

Flashcard 16: What is $-(-3)$?

Answer: $3$. The opposite of the opposite returns the original number.

Flashcard 17: What is the value of $-(-15)$?

Answer: $15$. The opposite of an opposite returns the original number.

Flashcard 18: Which statement is true: $6$ is to the left of $0$, or $6$ is to the right of $0$?

Answer: $6$ is to the right of $0$. Positive numbers are always positioned right of zero.

Flashcard 19: What value makes this true: $x$ is the opposite of $13$?

Answer: $x=-13$. The opposite of $13$ is the negative value $-13$.

Flashcard 20: What is $-(-25)$?

Answer: $25$. Two negatives cancel out, returning the positive value.

Flashcard 21: What is the opposite of -rac{5}{8}?

Answer: rac{5}{8}. Removing the negative sign gives the positive opposite.

Flashcard 22: Identify which is farther right on the number line: $-2$ or $3$?

Answer: $3$. Positive numbers are always right of negative numbers.

Flashcard 23: Identify the number that is $3$ units from $0$ on the right side of the number line.

Answer: $3$. Right of zero indicates a positive value.

Flashcard 24: Which number is the opposite of $-9$: $9$ or $-9$?

Answer: $9$. The opposite of a negative number is positive.

Flashcard 25: What is the value of $-(8)$?

Answer: $-8$. A negative sign makes a positive number negative.

Flashcard 26: What does a negative sign on a number indicate about its location relative to $0$ on a number line?

Answer: It is located to the left of $0$ on the number line. Negative numbers are always positioned left of zero.

Flashcard 27: Which number is closer to $0$ on the number line: $-3$ or $5$?

Answer: $-3$. Distance from zero is $|-3| = 3$ versus $|5| = 5$.

Flashcard 28: What is $-(-0.6)$?

Answer: $0.6$. Double negatives cancel, yielding the positive value.

Flashcard 29: Which number is the opposite of $4$: $-4$ or $4$?

Answer: $-4$. The opposite of a positive number is negative.

Flashcard 30: Identify which is farther left on the number line: $-8$ or $-1$?

Answer: $-8$. Smaller negative numbers are farther left on the number line.

Flashcard 31: If a point is $8$ units to the left of $0$, what number names its location?

Answer: $-8$. Points to the left of zero are negative numbers.

Flashcard 32: Which expression is equal to $4$: $-(-4)$ or $-(4)$?

Answer: $-(-4)$. Double negative equals positive; single negative equals negative.

Flashcard 33: What is the distance between $-9$ and $9$ on the number line?

Answer: $18$. Each number is $9$ units from zero: $9 + 9 = 18$.

Flashcard 34: What is the distance from $0$ to $-11$ on the number line?

Answer: $11$ units. Distance is always positive, regardless of direction.

Flashcard 35: What does a positive sign on a number indicate about its location relative to $0$ on a number line?

Answer: It is located to the right of $0$ on the number line. Positive numbers are always positioned right of zero.

Flashcard 36: Identify the number that is $3$ units from $0$ on the left side of the number line.

Answer: $-3$. Left of zero indicates a negative value.

Flashcard 37: Which statement is true about $0$ and its opposite on the number line?

Answer: $0$ is its own opposite. Zero is equidistant from itself on both sides.

Flashcard 38: What is the value of $-(-3)$?

Answer: $3$. Two negatives cancel out, returning the original positive value.

Flashcard 39: What is the value of $-(-(-4))$?

Answer: $-4$. Three negatives result in one negative: $-(-(-4)) = -4$.

Flashcard 40: What is the opposite of $-7$?

Answer: $7$. The opposite changes the sign from negative to positive.

Flashcard 41: What is the opposite of the opposite of a number $a$, written as $-(-a)$?

Answer: $-(-a)=a$. Taking the opposite twice returns the original number.

Flashcard 42: What is the opposite of a number $a$ on the number line?

Answer: The number the same distance from $0$ on the other side, $-a$. The opposite has the same distance but on the other side of zero.

Flashcard 43: Identify the number that is its own opposite.

Answer: $0$. Only zero equals its opposite since $-0 = 0$.

Flashcard 44: Which number is to the left on the number line: $-6$ or $2$?

Answer: $-6$. Negative numbers are always left of positive numbers.

Flashcard 45: What is the opposite of $-(-0)$?

Answer: $0$. Zero remains zero regardless of how many opposites are taken.

Flashcard 46: What does it mean on a number line when two numbers have opposite signs, such as $5$ and $-5$?

Answer: They are the same distance from $0$ on opposite sides of $0$. Opposite signs place numbers equidistant from zero on different sides.

Flashcard 47: What does it mean on a number line if two numbers have opposite signs, like $5$ and $-5$?

Answer: They are on opposite sides of $0$, the same distance from $0$. Opposite signs place numbers equidistant from zero on different sides.

Flashcard 48: If a point is $8$ units to the right of $0$, what number names its location?

Answer: $8$. Points to the right of zero are positive numbers.

Flashcard 49: Identify the number that is the opposite of $\frac{3}{5}$

Answer: $- \frac{3}{5}$. The opposite of a positive fraction is negative.

Flashcard 50: What value makes this true: $x$ is the opposite of $-6$?

Answer: $x=6$. The opposite of $-6$ is the positive value $6$.

Flashcard 51: What is the opposite of $-0.6$?

Answer: $0.6$. Opposites flip the sign while keeping the same distance from $0$.

Flashcard 52: Which number is on the opposite side of $0$ from $9$ but the same distance from $0$?

Answer: $-9$. The opposite of positive $9$ is negative $9$.

Flashcard 53: Identify the number that is the opposite of $-0.4$.

Answer: $0.4$. The opposite of a negative decimal is positive.