6th Grade Math Flashcards: Convert Units Using Ratio Reasoning

What this deck covers

This deck focuses on Convert Units Using Ratio Reasoning, 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 $2\ \text{kg}$ in grams using ratio reasoning?

Answer: $2000\ \text{g}$. Multiply: $2\ \text{kg} \times \frac{1000\ \text{g}}{1\ \text{kg}} = 2000\ \text{g}$.

Flashcard 2: What is the key rule for placing units in a conversion factor so units cancel?

Answer: Put the unwanted unit in the denominator so it cancels. This ensures units cancel when multiplying.

Flashcard 3: What conversion factor equals $1$ for converting meters to centimeters?

Answer: $\frac{100\ \text{cm}}{1\ \text{m}}$. Since $100\ \text{cm} = 1\ \text{m}$, this fraction equals $1$.

Flashcard 4: What conversion factor equals $1$ for converting hours to minutes?

Answer: $\frac{60\ \text{min}}{1\ \text{h}}$. Since $60\ \text{min} = 1\ \text{h}$, this fraction equals $1$.

Flashcard 5: What is $750\ \text{mL}$ in liters using ratio reasoning?

Answer: $0.75\ \text{L}$. Multiply: $750\ \text{mL} \times \frac{1\ \text{L}}{1000\ \text{mL}} = 0.75\ \text{L}$.

Flashcard 6: What is $3\ \text{m}^2$ in $\text{cm}^2$?

Answer: $30000\ \text{cm}^2$. Since $1\ \text{m} = 100\ \text{cm}$, then $1\ \text{m}^2 = 10000\ \text{cm}^2$.

Flashcard 7: What is $60\ \text{mi/hr}$ in $\text{mi/min}$?

Answer: $1\ \text{mi/min}$. Divide 60 by 60 to convert hours to minutes in the rate.

Flashcard 8: What is $4\ \text{h}$ in minutes?

Answer: $240\ \text{min}$. $4\ \text{h} \times \frac{60\ \text{min}}{1\ \text{h}} = 240\ \text{min}$

Flashcard 9: What conversion factor equals $1$ for converting centimeters to meters?

Answer: $\frac{1\ \text{m}}{100\ \text{cm}}$. Since 1 meter equals 100 centimeters, this fraction equals 1.

Flashcard 10: What is $90\ \text{min}$ in hours?

Answer: $1.5\ \text{h}$. $90\ \text{min} \times \frac{1\ \text{h}}{60\ \text{min}} = 1.5\ \text{h}$

Flashcard 11: What conversion factor equals $1$ for converting inches to feet?

Answer: $\frac{1\ \text{ft}}{12\ \text{in}}$. Since $1\ \text{ft} = 12\ \text{in}$, this fraction equals $1$.

Flashcard 12: What is $250\ \text{cm}$ in meters using ratio reasoning?

Answer: $2.5\ \text{m}$. Multiply: $250\ \text{cm} \times \frac{1\ \text{m}}{100\ \text{cm}} = 2.5\ \text{m}$.

Flashcard 13: What conversion factor equals $1$ for converting liters to milliliters?

Answer: $\frac{1000\ \text{mL}}{1\ \text{L}}$. Since $1000\ \text{mL} = 1\ \text{L}$, this fraction equals $1$.

Flashcard 14: What is $36\ \text{in}$ in feet?

Answer: $3\ \text{ft}$. $36\ \text{in} \times \frac{1\ \text{ft}}{12\ \text{in}} = 3\ \text{ft}$

Flashcard 15: What conversion factor equals $1$ for converting minutes to hours?

Answer: $\frac{1\ \text{hr}}{60\ \text{min}}$. Since $1 \text{ hour} = 60 \text{ minutes}$, this fraction equals 1.

Flashcard 16: What is $2500\ \text{g}$ in kilograms?

Answer: $2.5\ \text{kg}$. Divide 2500 by 1000 since there are 1000 g per kg.

Flashcard 17: What is $1200\ \text{g}$ in kilograms?

Answer: $1.2\ \text{kg}$. $1200\ \text{g} \times \frac{1\ \text{kg}}{1000\ \text{g}} = 1.2\ \text{kg}$

Flashcard 18: What is $1500\ \text{g}$ in kilograms using ratio reasoning?

Answer: $1.5\ \text{kg}$. Multiply: $1500\ \text{g} \times \frac{1\ \text{kg}}{1000\ \text{g}} = 1.5\ \text{kg}$.

Flashcard 19: What is $1250\ \text{mL}$ in liters?

Answer: $1.25\ \text{L}$. Divide 1250 by 1000 since there are 1000 mL per liter.

Flashcard 20: Identify the unit that cancels when you multiply $5\ \text{ft}$ by $\frac{12\ \text{in}}{1\ \text{ft}}$.

Answer: $\text{ft}$. The ft units cancel: $\frac{5\ \text{ft} \cdot 12\ \text{in}}{1\ \text{ft}}$.

Flashcard 21: What conversion factor equals $1$ for converting minutes to seconds?

Answer: $\frac{60\ \text{s}}{1\ \text{min}}$. Since $60\ \text{s} = 1\ \text{min}$, this fraction equals $1$.

Flashcard 22: What is $3.2\ \text{m}$ in centimeters?

Answer: $320\ \text{cm}$. $3.2\ \text{m} \times \frac{100\ \text{cm}}{1\ \text{m}} = 320\ \text{cm}$

Flashcard 23: What is $2.5\ \text{ft}$ in inches?

Answer: $30\ \text{in}$. $2.5\ \text{ft} \times \frac{12\ \text{in}}{1\ \text{ft}} = 30\ \text{in}$

Flashcard 24: What is $2.5\ \text{h}$ in minutes using ratio reasoning?

Answer: $150\ \text{min}$. Multiply: $2.5\ \text{h} \times \frac{60\ \text{min}}{1\ \text{h}} = 150\ \text{min}$.

Flashcard 25: What is $2.5\ \text{L}$ in milliliters?

Answer: $2500\ \text{mL}$. $2.5\ \text{L} \times \frac{1000\ \text{mL}}{1\ \text{L}} = 2500\ \text{mL}$

Flashcard 26: Find the speed in $\text{ft}/\text{s}$: $60 \text{ft}$ in $5 \text{s}$.

Answer: $12 \text{ft}/\text{s}$. Divide distance by time: $\frac{60 \text{ft}}{5 \text{s}} = 12 \text{ft}/\text{s}$.

Flashcard 27: What is $150 \text{s}$ in minutes?

Answer: $2.5 \text{min}$. $150 \text{s} \times \frac{1 \text{min}}{60 \text{s}} = 2.5 \text{min}$

Flashcard 28: What is $0.75\ \text{kg}$ in grams?

Answer: $750\ \text{g}$. $0.75\ \text{kg} \times \frac{1000\ \text{g}}{1\ \text{kg}} = 750\ \text{g}$

Flashcard 29: What conversion factor equals $1$ for converting grams to kilograms?

Answer: $\frac{1\ \text{kg}}{1000\ \text{g}}$. Since 1 kilogram equals 1000 grams, this fraction equals 1.

Flashcard 30: What is the correct setup to convert $36\ \text{in}$ to feet using unit fractions?

Answer: $36\ \text{in}\times\frac{1\ \text{ft}}{12\ \text{in}}$. Multiply by the conversion factor to cancel inches.

Flashcard 31: What is $3.6\ \text{m}$ in centimeters using ratio reasoning?

Answer: $360\ \text{cm}$. Multiply: $3.6\ \text{m} \times \frac{100\ \text{cm}}{1\ \text{m}} = 360\ \text{cm}$.

Flashcard 32: What is $3 \text{ min}$ in seconds?

Answer: $180 \text{ s}$. $3 \text{ min} \times \frac{60 \text{ s}}{1 \text{ min}} = 180 \text{ s}$

Flashcard 33: What conversion factor equals $1$ for converting milliliters to liters?

Answer: $\frac{1\ \text{L}}{1000\ \text{mL}}$. Since 1 liter equals 1000 milliliters, this fraction equals 1.

Flashcard 34: What is $180\ \text{s}$ in minutes using ratio reasoning?

Answer: $3\ \text{min}$. Multiply: $180\ \text{s} \times \frac{1\ \text{min}}{60\ \text{s}} = 3\ \text{min}$

Flashcard 35: What is $2.5\ \text{hr}$ in minutes?

Answer: $150\ \text{min}$. Multiply 2.5 by 60 since there are 60 minutes per hour.

Flashcard 36: What is $1.2\ \text{L}$ in milliliters using ratio reasoning?

Answer: $1200\ \text{mL}$. Multiply: $1.2\ \text{L} \times \frac{1000\ \text{mL}}{1\ \text{L}} = 1200\ \text{mL}$.

Flashcard 37: What conversion factor equals $1$ for converting kilograms to grams?

Answer: $\frac{1000\ \text{g}}{1\ \text{kg}}$. Since $1000\ \text{g} = 1\ \text{kg}$, this fraction equals $1$.

Flashcard 38: What is $600\ \text{mL}$ in liters?

Answer: $0.6\ \text{L}$. $600\ \text{mL} \times \frac{1\ \text{L}}{1000\ \text{mL}} = 0.6\ \text{L}$

Flashcard 39: What is $450\ \text{cm}$ in meters?

Answer: $4.5\ \text{m}$. $450\ \text{cm} \times \frac{1\ \text{m}}{100\ \text{cm}} = 4.5\ \text{m}$

Flashcard 40: What is $2\ \text{m/s}$ in $\text{m/min}$?

Answer: $120\ \text{m/min}$. Multiply 2 by 60 to convert seconds to minutes in the rate.

Flashcard 41: What is $48\ \text{in}$ in feet using ratio reasoning?

Answer: $4\ \text{ft}$. Multiply: $48\ \text{in} \times \frac{1\ \text{ft}}{12\ \text{in}} = 4\ \text{ft}$.

Flashcard 42: What conversion factor equals $1$ for converting feet to inches?

Answer: $\frac{12\ \text{in}}{1\ \text{ft}}$. Since $12\ \text{in} = 1\ \text{ft}$, this fraction equals $1$.

Flashcard 43: What is $3\ \text{L}$ in milliliters?

Answer: $3000\ \text{mL}$. Multiply 3 by 1000 since there are 1000 mL per liter.

Flashcard 44: What is $3\ \text{ft}$ in inches using ratio reasoning?

Answer: $36\ \text{in}$. Multiply: $3\ \text{ft} \times \frac{12\ \text{in}}{1\ \text{ft}} = 36\ \text{in}$.