Perform Operations With Multi-Digit Decimals - 6th Grade Math

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

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

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

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

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

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

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

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

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

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

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

$0.18$. Half of $0.36$ gives $0.18$.

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

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

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

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

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

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

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

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

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

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

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

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