Decimal Division Square Roots
1. Let's solve each problem step-by-step.
2. For c) $1.68 \div 0.7$:
- Division of decimals can be simplified by multiplying numerator and denominator by 10 to remove decimals:
$$\frac{1.68}{0.7} = \frac{1.68 \times 10}{0.7 \times 10} = \frac{16.8}{7}$$
- Now divide 16.8 by 7:
$$16.8 \div 7 = 2.4$$
3. For d) $9.52 \div 2.8$:
- Similarly, multiply numerator and denominator by 10:
$$\frac{9.52}{2.8} = \frac{9.52 \times 10}{2.8 \times 10} = \frac{95.2}{28}$$
- Now divide 95.2 by 28:
$$95.2 \div 28 = 3.4$$
4. For $\sqrt{1.68}$:
- The square root symbol $\sqrt{}$ means a number which when multiplied by itself gives the operand.
- Using a calculator or approximation:
$$\sqrt{1.68} \approx 1.296$$
5. For $\sqrt{8.52}$:
- Similarly:
$$\sqrt{8.52} \approx 2.92$$
**Final answers:**
- c) $1.68 \div 0.7 = 2.4$
- d) $9.52 \div 2.8 = 3.4$
- $\sqrt{1.68} \approx 1.296$
- $\sqrt{8.52} \approx 2.92$