6th Grade Math Flashcards: Perform Operations With Multi Digit Decimals

What this deck covers

This deck focuses on Perform Operations With Multi Digit Decimals, 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 $8.4 \div 0.7$ using the standard division algorithm?

Answer: $12$. Convert to $84 \div 7 = 12$ by multiplying both by 10.

Flashcard 2: Identify the correct placement of the decimal in the quotient for $3.6 \div 0.12$.

Answer: Convert to $360 \div 12$, so the quotient is $30$. Multiply both by 100 to eliminate decimals in divisor.

Flashcard 3: What is $0.48 \times 3.5$ using the standard multiplication algorithm?

Answer: $1.68$. $48 \times 35 = 1680$; place decimal 3 places from right.

Flashcard 4: What is $12.5 \times 0.06$ using the standard multiplication algorithm?

Answer: $0.75$. $125 \times 6 = 750$; place decimal 3 places from right.

Flashcard 5: What is $9.2 - 3.45$ using the standard subtraction algorithm?

Answer: $5.75$. Align as $9.20 - 3.45$, then subtract place by place.

Flashcard 6: What is $12.5 - 0.86$?

Answer: $11.64$. Align as $12.50 - 0.86$ and subtract.

Flashcard 7: What is $0.36 \times 0.5$?

Answer: $0.18$. Half of $0.36$ gives $0.18$.

Flashcard 8: Find the missing number: $x \div 0.4 = 12.5$.

Answer: $x = 5$. Multiply both sides by $0.4$: $12.5 \times 0.4 = 5$.

Flashcard 9: Find the missing number: $x - 4.096 = 2.5$.

Answer: $x = 6.596$. Add $4.096$ to both sides: $2.5 + 4.096 = 6.596$.

Flashcard 10: What is the rule for placing the decimal in $3.2 \times 1.45$ using the standard algorithm?

Answer: Total decimal places in product equals sum of decimal places in factors. Count all decimal places in both factors.

Flashcard 11: Find the missing number: $7.2 + x = 10.05$.

Answer: $x = 2.85$. Subtract $7.2$ from both sides: $10.05 - 7.2 = 2.85$.

Flashcard 12: Identify the missing number: $0.8 \times \square = 6.4$.

Answer: $8$. Divide: $6.4 \div 0.8 = 8$.

Flashcard 13: What is $4.38 + 7.6$?

Answer: $11.98$. Add $4.38 + 7.60$ with aligned decimals.

Flashcard 14: What is $2.3 \times 4.56$ using the standard multiplication algorithm?

Answer: $10.488$. $23 \times 456 = 10488$; place decimal 3 places from right.

Flashcard 15: What is $7.2 \div 0.03$?

Answer: $240$. Convert to $720 \div 3 = 240$.

Flashcard 16: What is $9.45 \div 0.15$ using the standard division algorithm?

Answer: $63$. Convert to $945 \div 15 = 63$ by multiplying both by 100.

Flashcard 17: State the first step of the standard algorithm for subtracting decimals such as $9.2 - 3.45$.

Answer: Align decimal points and add zeros as needed before subtracting. Ensures equal decimal places for proper subtraction.

Flashcard 18: What is $9.45 \div 0.7$?

Answer: $13.5$. Convert to $94.5 \div 7 = 13.5$.

Flashcard 19: State the first step for dividing by a decimal in $15.6 \div 0.3$ using the standard algorithm.

Answer: Multiply dividend and divisor by $10^n$ to make the divisor a whole number. Eliminates decimal in divisor for standard long division.

Flashcard 20: What is $50.00 - 18.735$ using the standard subtraction algorithm?

Answer: $31.265$. Regroup from tens: $50.000 - 18.735 = 31.265$.

Flashcard 21: Identify the missing number: $\square - 2.75 = 10.5$.

Answer: $13.25$. Add: $10.5 + 2.75 = 13.25$.

Flashcard 22: What is $12.5 \div 0.5$?

Answer: $25$. Convert to $125 \div 5 = 25$.

Flashcard 23: Find the missing number: $0.25 \times x = 3.5$.

Answer: $x = 14$. Divide both sides by $0.25$: $3.5 \div 0.25 = 14$.

Flashcard 24: What is the standard method to divide $15.6 \div 0.3$ when the divisor is a decimal?

Answer: Multiply dividend and divisor by the same power of $10$ to make divisor whole. Converts to $156 \div 3$ for easier division.

Flashcard 25: What is $63.09 + 8.015$ using the standard addition algorithm?

Answer: $71.105$. Align and add: $63.090 + 8.015 = 71.105$.

Flashcard 26: What is $4.8 \div 0.6$?

Answer: $8$. Convert to $48 \div 6 = 8$.

Flashcard 27: Identify the rule for placing the decimal point in a product like $2.3 \times 4.56$.

Answer: Decimal places in product = sum of decimal places in factors. Count total decimal places in both factors.

Flashcard 28: What is the correct first step to subtract $9.2 - 3.45$ using the standard algorithm?

Answer: Align decimal points and add trailing zeros if needed. Zeros make subtraction possible: $9.20 - 3.45$.

Flashcard 29: What is $6.72 \div 0.8$ using the standard division algorithm?

Answer: $8.4$. Convert to $67.2 \div 8 = 8.4$ by multiplying both by 10.

Flashcard 30: What is the correct first step to add $3.47 + 12.6$ using the standard algorithm?

Answer: Align the decimal points vertically, then add place values. Ensures place values match for accurate addition.

Flashcard 31: What is $6.04 - 2.9$?

Answer: $3.14$. Write as $6.04 - 2.90$ for easier subtraction.

Flashcard 32: What is $4.38 + 12.7$ using the standard addition algorithm?

Answer: $17.08$. Align decimals: $4.38 + 12.70 = 17.08$.

Flashcard 33: What is $3.07 \times 0.2$?

Answer: $0.614$. $307 \times 2 = 614$, place decimal for 3 places.

Flashcard 34: What is $6.3 \div 0.9$?

Answer: $7$. Convert to $63 \div 9 = 7$.

Flashcard 35: What is $15.002 + 0.89$?

Answer: $15.892$. Align decimals: $15.002 + 0.890 = 15.892$.

Flashcard 36: What is $2.4 \times 3.5$?

Answer: $8.4$. Multiply $24 \times 35 = 840$, place decimal for 2 places.

Flashcard 37: What is $15.6 \div 0.3$ using the standard division algorithm?

Answer: $52$. Convert to $156 \div 3 = 52$ by multiplying both by 10.

Flashcard 38: What is $8.00 - 3.57$?

Answer: $4.43$. Subtract with borrowing: $8.00 - 3.57 = 4.43$.

Flashcard 39: What is $1.25 \times 0.4$?

Answer: $0.5$. $125 \times 4 = 500$, place decimal for 3 places.

Flashcard 40: State the first step of the standard algorithm for adding decimals such as $3.47 + 12.6$.

Answer: Align the decimal points, then add digits by place value. Ensures place values match for accurate addition.