Subjects algebra

Approximation Estimation

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem Statement:** Estimate the value of the expressions by rounding each number to 1 significant figure and then performing the calculation. 2. **Expression 1:** $\frac{60}{10} \times 1$ - Round 60 to 1 significant figure: 60 (already 1 sf) - Round 10 to 1 significant figure: 10 (already 1 sf) - Round 1 to 1 significant figure: 1 - Calculate: $$\frac{60}{10} \times 1 = 6 \times 1 = 6$$ 3. **Expression 2:** $\frac{62.5}{9.7} \times 0.52$ - Round 62.5 to 1 significant figure: 60 - Round 9.7 to 1 significant figure: 10 - Round 0.52 to 1 significant figure: 0.5 - Calculate: $$\frac{60}{10} \times 0.5 = 6 \times 0.5 = 3$$ 4. **Summary:** - Estimated value of $\frac{60}{10} \times 1$ is **6**. - Estimated value of $\frac{62.5}{9.7} \times 0.52$ is **3**. --- 5. **Additional Problem:** (a) Write down $\sqrt{169}$. - $\sqrt{169} = 13$ (b) Work out the value of $2^4$. - $2^4 = 2 \times 2 \times 2 \times 2 = 16$ --- **Final answers:** - Estimated values: 6 and 3 - $\sqrt{169} = 13$ - $2^4 = 16$