Grade 8 ,Maths, Decimal Numbers Worksheet

Mastering Decimal Operations: Essential Skills for Grade 8 Students

The Grade 8 Decimal Numbers worksheet provides a comprehensive foundation in decimal arithmetic, equipping students with critical mathematical skills for academic and real-world problem-solving. Through structured lessons, students master converting fractions to decimals (like transforming $\frac{33}{40}$ to 6.825) and learn core operations with powers of 10, such as multiplying $3.211\times 1000=3211$ or dividing $0.4÷100=0.004$. The curriculum progresses to multiplication techniques—both whole numbers by decimals ($7\times 0.8=5.6$) and decimals by decimals ($2.7\times 0.9=2.43$)—emphasizing place-value alignment and computational fluency. These skills are reinforced through inverse operations, showing how known facts (e.g., $678\times 4=2712$) unlock solutions to related problems ($4\times 0.678=2.712$).

Beyond theoretical drills, the worksheet highlights practical applications where decimal proficiency proves indispensable. Students calculate real-world quantities like the area of a $34\text{m}\times 12.8\text{m}$ vegetable plot ($435.2{\text{m}}^2$) or the cost of $2.5\text{kg}$ of potatoes at Rs. $76.50\mathrm{/}\text{kg}$ (Rs. $191.25$). Division exercises extend to contextual scenarios, such as determining the hourly distance of a car traveling $150.78\text{km}$ in $4$ hours ($37.695\text{km/h}$) or finding how many $2.4\text{m}$ pipes fit a $720\text{m}$ pipeline. By integrating multi-step problems—such as $(1-0.7{)}^2=0.09$ and mass calculations for construction bricks—students develop logical reasoning and precision, ensuring they can confidently navigate financial, scientific, and engineering challenges ahead.

This focused practice transforms abstract decimal concepts into tangible tools, empowering Grade 8 learners for advanced mathematics and everyday decision-making.