6th Grade Math Flashcards: Order Rational Numbers In Context

What this deck covers

This deck focuses on Order Rational Numbers In Context, 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 does the statement $4 > -2$ mean about which value is greater?

Answer: $4$ is greater than $-2$. Positive numbers are always greater than negative numbers.

Flashcard 2: Identify the correct order from least to greatest: $-2,\ 0,\ -5,\ 3$.

Answer: $-5,\ -2,\ 0,\ 3$. Arrange from most negative to most positive.

Flashcard 3: What is the correct order from greatest to least: $-1.2,\ -1.05,\ -1.5$?

Answer: $-1.05 > -1.2 > -1.5$. Order negatives by comparing distances from zero.

Flashcard 4: What does the statement $x > 0$ mean if $x$ represents profit in dollars?

Answer: There is a profit (a positive amount). Positive values indicate gains or increases.

Flashcard 5: Which number is closest to $0$: $-0.3$ or $0.25$?

Answer: $0.25$. $0.25$ is $0.25$ units from zero; $-0.3$ is $0.3$ units away.

Flashcard 6: What is the correct inequality for "an elevation of $-12$ m is below $-5$ m"?

Answer: $-12 < -5$. Lower elevations have smaller numerical values.

Flashcard 7: Choose the word that makes this true: $-8$ is   $-2$ (less than or greater than).

Answer: less than. For negative numbers, larger absolute value means smaller number.

Flashcard 8: Which temperature is colder: $-12^\circ\text{C}$ or $-7^\circ\text{C}$?

Answer: $-12^\circ\text{C}$. Lower temperatures have more negative values.

Flashcard 9: Identify the correct order from greatest to least: $\frac{1}{2},\ -\frac{3}{4},\ 0,\ 1$.

Answer: $1,\ \frac{1}{2},\ 0,\ -\frac{3}{4}$. Arrange from most positive to most negative.

Flashcard 10: What does the inequality $5 > -1$ state about the order of these numbers?

Answer: $5$ is greater than $-1$. Positive numbers are always greater than negative numbers.

Flashcard 11: Which number is greater: $0$ or $-\frac{1}{8}$?

Answer: $0$. Zero is greater than any negative number.

Flashcard 12: What is the correct order from least to greatest: $-2,\ 0,\ -5,\ 3$?

Answer: $-5 < -2 < 0 < 3$. Negative numbers come before zero, then positive numbers.

Flashcard 13: What is the correct inequality for "$5$ degrees is warmer than $-1$ degrees"?

Answer: $5 > -1$. Higher temperatures are represented by greater numbers.

Flashcard 14: Choose the correct symbol: a balance of -$12 $ \square $a balance of -$20$.

Answer: $>$. Owing -$12 is better than owing -$20 (less debt).

Flashcard 15: Which symbol makes this statement true: $-9\ \square\ -2$ if $-9$ is smaller?

Answer: $<$. $-9$ is farther from zero than $-2$ on the number line.

Flashcard 16: Which symbol makes this statement true: $\frac{1}{4} \square \frac{3}{8}$?

Answer: $<$. $\frac{1}{4} = 0.25$ and $\frac{3}{8} = 0.375$, so $\frac{1}{4}$ is smaller.

Flashcard 17: What does "closest to $0$" mean on a number line for rational numbers?

Answer: It has the smallest distance from $0$. The number with the smallest absolute value is closest.

Flashcard 18: Identify the correct comparison for debts: owing -\20$versus owing$-$35$.

Answer: $-20 > -35$. Owing $20 is better than owing $35, so $-20 > -35$.

Flashcard 19: Which symbol makes this statement true: $-4\ \square\ -7$ if $-4$ is greater?

Answer: $>$. $-4$ is closer to zero than $-7$ on the number line.

Flashcard 20: Which number is greater: $-\frac{3}{4}$ or $-\frac{2}{3}$?

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

Flashcard 21: Which number is greater: $-2.6$ or $-2.06$?

Answer: $-2.06$. For negative numbers, the one closer to zero is greater.

Flashcard 22: What does the statement $0 > -0.03$ mean in a money context?

Answer: $0 is more money than owing $0.03. Having zero dollars is better than owing money (negative balance).

Flashcard 23: What is the correct comparison: $-0.6\ \square\ -0.59$?

Answer: $-0.6 < -0.59$. $-0.6 = -0.60$, which is less than $-0.59$.

Flashcard 24: Which is greater: $-\frac{5}{6}$ or $-\frac{1}{2}$?

Answer: $-\frac{1}{2}$. $-\frac{1}{2} = -0.5$ is closer to zero than $-\frac{5}{6} \approx -0.83$.

Flashcard 25: Which number is greatest: $-\frac{3}{5}$, $-0.62$, or $-0.6$?

Answer: $-0.6$. $-\frac{3}{5} = -0.6$, which is closer to zero than $-0.62$.

Flashcard 26: Find the correct symbol: $-\frac{7}{8} \square -0.9$.

Answer: $>$ $-\frac{7}{8} = -0.875$, which is greater than $-0.9$.

Flashcard 27: What is the correct order from greatest to least: $\frac{-1}{2}$, $\frac{2}{3}$, $-0.4$?

Answer: $\frac{2}{3} > -0.4 > \frac{-1}{2}$. Positive numbers are greatest, then negatives closer to zero.

Flashcard 28: Find and correct the false statement: "Since $-4$ is left of $-1$, $-4 > -1$."

Answer: Correct: $-4 < -1$. Numbers to the left are less than, not greater than.

Flashcard 29: Which elevation is higher: $-15$ meters or $8$ meters (relative to sea level)?

Answer: $8$ meters. Positive elevations are above sea level, higher than negative ones.

Flashcard 30: What does the inequality $-3 < 2$ state about the order of these numbers?

Answer: $-3$ is less than $2$. Negative numbers are always less than positive numbers.

Flashcard 31: Which elevation is higher: $-15\text{ m}$ or $-40\text{ m}$ (relative to sea level $0\text{ m}$)?

Answer: $-15\text{ m}$. $-15$ is closer to sea level than $-40$.

Flashcard 32: Which number represents the lower temperature: $-9^\circ\text{C}$ or $-2^\circ\text{C}$?

Answer: $-9^\circ\text{C}$. Lower temperatures have smaller numerical values.

Flashcard 33: What does it mean if a bank balance changes from $-12$ dollars to $-5$ dollars?

Answer: The balance increased because $-5 > -12$. Moving from $-12$ to $-5$ means less debt, which is an increase.

Flashcard 34: Which number is less: $\frac{-5}{6}$ or $\frac{-3}{4}$?

Answer: $\frac{-5}{6}$. $\frac{-5}{6} \approx -0.83$ and $\frac{-3}{4} = -0.75$, so $\frac{-5}{6}$ is less.

Flashcard 35: Which inequality correctly represents: "$-3$ is at least $-3$"?

Answer: $-3 \ge -3$. "At least" means greater than or equal to.

Flashcard 36: Which statement is correct for distances: $-3$ km (west) compared to $2$ km (east)?

Answer: $-3 < 2$. West (negative) is less than east (positive) on a number line.

Flashcard 37: What is the correct order from least to greatest: $-1$, $0.2$, $-0.8$?

Answer: $-1 < -0.8 < 0.2$. Negative numbers increase as they approach zero, then positive numbers.

Flashcard 38: A bank account has balances -\25$ and $10. Which balance is greater?

Answer: $10. Positive balance is greater than negative debt.

Flashcard 39: What does $-8^\circ\text{C} < -3^\circ\text{C}$ mean about the temperatures?

Answer: $-8^\circ\text{C}$ is colder than $-3^\circ\text{C}$. Lower negative temperatures indicate colder conditions.

Flashcard 40: Which symbol makes this statement true: $-7 \square -9$ if $-7$ is greater than $-9$?

Answer: $>$. Since $-7$ is closer to zero than $-9$, it's the larger value.

Flashcard 41: Identify the correct statement: Is $-\frac{3}{2}$ less than or greater than $-1$?

Answer: $-\frac{3}{2} < -1$. $-\frac{3}{2} = -1.5$, which is less than $-1$.

Flashcard 42: Identify the number closest to $0$: $-0.9,\ 0.2,\ -0.1$.

Answer: $-0.1$. $|-0.1| = 0.1$ is the smallest absolute value.

Flashcard 43: Identify the greater number: $-0.6$ or $-0.4$.

Answer: $-0.4$. Among negatives, the number closer to zero is greater.

Flashcard 44: Which symbol makes this true: $\frac{1}{4} \square \frac{3}{8}$?

Answer: $<$. $\frac{1}{4} = \frac{2}{8}$, which is less than $\frac{3}{8}$.

Flashcard 45: Choose the correct statement: If $a$ is to the left of $b$ on a number line, then $a\ \square\ b$.

Answer: $a < b$. Numbers increase from left to right on a number line.

Flashcard 46: Which inequality matches "at most $-2$ degrees": temperature $T$ is no greater than $-2$?

Answer: $T \le -2$. "At most" means less than or equal to the given value.

Flashcard 47: What does "$A$ is at $-15$ ft and $B$ is at $-6$ ft; $A < B$" mean in context?

Answer: $A$ is lower (deeper) than $B$. Smaller negative values represent deeper positions below sea level.

Flashcard 48: What does the inequality $4.2 > -0.5$ mean in a real-world comparison?

Answer: $4.2$ represents a greater value than $-0.5$. Positive numbers are always greater than negative numbers.

Flashcard 49: A diver is at $-6\text{ m}$ and then at $-9\text{ m}$. Which position is deeper?

Answer: $-9\text{ m}$. More negative depth means farther below surface.

Flashcard 50: What does the statement $x < 0$ mean if $x$ represents a change in temperature?

Answer: The temperature decreased (a negative change). Negative values represent decreases or drops.

Flashcard 51: Which inequality matches "a depth of $-30$ m is deeper than $-18$ m"?

Answer: $-30 < -18$. Deeper depths have more negative (smaller) values.

Flashcard 52: Find and correct the false statement: $-\frac{1}{2} > \frac{1}{4}$.

Answer: $-\frac{1}{2} < \frac{1}{4}$. Negative fractions are less than positive fractions.

Flashcard 53: What does the statement $-3 < -1$ mean in terms of position on a number line?

Answer: $-3$ is to the left of $-1$. On a number line, smaller numbers are positioned to the left.

Flashcard 54: What is the meaning of ordering rational numbers from least to greatest on a number line?

Answer: Left to right: smallest to largest. Numbers increase as you move right on the number line.

Flashcard 55: What does the inequality $-3 < -1$ mean in terms of position on a number line?

Answer: $-3$ is to the left of $-1$. On a number line, smaller numbers are positioned to the left of larger numbers.

Flashcard 56: Which is deeper below sea level: $-32$ meters or $-27$ meters?

Answer: $-32$ meters. More negative values represent greater depths below sea level.

Flashcard 57: Which inequality correctly represents: "$-2$ is no more than $5$"?

Answer: $-2 \le 5$. "No more than" means less than or equal to.

Flashcard 58: Which number is less: $-1.2$ or $-1.05$?

Answer: $-1.2$. $-1.2$ is farther from zero than $-1.05$.

Flashcard 59: Which symbol makes this true: $-7\ \square\ -9$ if $-7$ is greater than $-9$?

Answer: $>$. For negative numbers, the one closer to zero is greater.