If x = 0.2, y = 0.3, and z = 0.9, evaluate each of the following expressions. Evaluate each of the following expressions.

$$0.2 \times 0.3 = 0.06$$

Jibu: $\boxed{0.06}$

b) $x+yz$

$$0.2 + 0.27 = 0.47$$

Jibu: $\boxed{0.47}$

c) $\frac{xz}{y}+y$

$$0.6 + 0.3 = 0.9$$

Jibu: $\boxed{0.9}$

d) $xy+xz+yz$

$$0.2 \times 0.3 = 0.06$$ $$0.2 \times 0.9 = 0.18$$ $$0.3 \times 0.9 = 0.27$$

$$0.06 + 0.18 + 0.27 = 0.51$$

Jibu: $\boxed{0.51}$

Swali la 25: Tathmini kila moja ya misemo ifuatayo.

a) $1.025-0.805$

$$1.025 - 0.805 = 0.220$$

Jibu: $\boxed{0.22}$

b) $0.06-0.05$

$$0.06 - 0.05 = 0.01$$

Jibu: $\boxed{0.01}$

c) $0.6\dot{8}-0.03\dot{1}$

$$\text{Weka } A = 0.6888...$$ $$10A = 6.888... \quad (Eq. 1)$$ $$100A = 68.888... \quad (Eq. 2)$$ $$100A - 10A = 68.888... - 6.888...$$ $$90A = 62 \implies A = \frac{62}{90} = \frac{31}{45}$$

$$\text{Weka } B = 0.03111...$$ $$100B = 3.111... \quad (Eq. 3)$$ $$1000B = 31.111... \quad (Eq. 4)$$ $$1000B - 100B = 31.111... - 3.111...$$ $$900B = 28 \implies B = \frac{28}{900} = \frac{7}{225}$$

$$A - B = \frac{31}{45} - \frac{7}{225}$$

Tafuta denominator ya kawaida (LCM) kwa 45 na 225, ambayo ni 225.

$$\frac{31 \times 5}{45 \times 5} - \frac{7}{225} = \frac{155}{225} - \frac{7}{225} = \frac{155 - 7}{225} = \frac{148}{225}$$

Jibu: $\boxed{\frac{148}{225}}$

d) $0.4 \div 0.2$

$$\frac{0.4 \times 10}{0.2 \times 10} = \frac{4}{2} = 2$$

Jibu: $\boxed{2}$

Umebakisha swali moja tu la "Project". Ungependa nisaidie na hilo pia?