Decimal Precision Worksheet
Grade 8 Mathematics Rational Numbers Fluency
Decimal Operations: Multiplication & Division
Part 1 of 3
Name:
Date:
Period:
Multiplication Rule: Multiply digits ignoring decimals, then place decimal by summing decimal places in both factors. Apply sign rules: \((-) \times (-) = (+)\), \((+) \times (-) = (-)\).
A Precision Decimal Multiplication
Show all calculation steps
- \(0.48 \times 0.7\)
Answer:
- \(3.25 \times 1.6\)
Answer:
- \((-4.12) \times 0.35\)
Answer:
- \(0.075 \times 0.24\)
Answer:
- \(18.4 \times (-2.05)\)
Answer:
- \((-0.625) \times (-1.6)\)
Answer:
B Decimal Scale, Powers of 10 & Multi-Factor Products
Apply mental shift or scratch work
- \(6.429 \times 10^3\)
Answer:
- \(51.8 \times 0.001\)
Answer:
- \((-0.038) \times 10^4\)
Answer:
- \((-0.4) \times (-0.3) \times 2.5\)
Answer:
Grade 8 Decimal Operations • Student Practice Page 1 of 3
Grade 8 Mathematics Division & Rational Quotients
Decimal Operations: Long Division & Quotients
Part 2 of 3
Division Rule: If the divisor has a decimal, move it right to make it a whole number. Move the dividend's decimal the exact same number of places. Place the quotient decimal directly above.
C Standard Algorithm: Decimal Quotients
Set up long division in each box
- \(43.68 \div 7\)
Answer:
- \(7.56 \div 0.9\)
Answer:
- \(28.35 \div (-0.45)\)
Answer:
- \((-1.632) \div 0.08\)
Answer:
- \(0.0918 \div (-0.027)\)
Answer:
- \((-52.8) \div (-1.2)\)
Answer:
D Special Quotients & Scale Factors
Simplify each expression
- \(14 \div 0.25\)
Answer:
- \((-9.6) \div 0.016\)
Answer:
- \(3.75 \div 1.5\)
Answer:
- \(48.6 \div 10^2\)
Answer:
Grade 8 Decimal Operations • Student Practice Page 2 of 3
Grade 8 Mathematics Synthesis & Real-World Modeling
Decimal Operations: Expressions & Applications
Part 3 of 3
E Order of Operations & Evaluating Expressions
Follow PEMDAS carefully
- \(12.5 - 3.2 \times 2.4\)
Answer:
- \((8.4 + 3.6) \div (-0.15)\)
Answer:
- Evaluate \(3.5x - 4.2\) for \(x = -1.8\)
Answer:
- \(\dfrac{-6.48 \times 0.5}{0.36}\)
Answer:
- \(2.5 \times (4.8 \div 0.6) - 7.15\)
Answer:
F Real-World STEM & Consumer Applications
Include units with your answers
- Mars Rover Navigation
A scientific rover on Mars travels \(14.85\text{ meters}\) in \(4.5\text{ minutes}\). Calculate its average speed in meters per minute.
Speed:
- Chemistry Laboratory
A lab technician has \(3.84\text{ liters}\) of saline solution. If each trial vial requires \(0.064\text{ liters}\), how many vials can be completely filled?
Vials:
- Consumer Finance
Maya purchased \(4.5\text{ pounds}\) of specialty coffee beans at \(\$8.40\) per pound. She split the total cost equally among \(3\) roommates. How much did each person pay?
Cost/Person:
- Solar Energy Engineering
A rectangular commercial solar array has an area of \(19.38\text{ m}^2\). If its width is \(3.4\text{ meters}\), find the exact length of the solar array.
Length:
- Architectural Scale Model
An architectural blueprint utilizes a scale where \(1\text{ cm}\) on paper represents \(2.75\text{ meters}\) in reality. If a building is \(41.25\text{ meters}\) tall, determine its height on the blueprint.
Blueprint Height:
Grade 8 Decimal Operations • Student Practice Page 3 of 3 • Completed
