1. Solve these measurement of distance problems. a. $$ \frac{1}{2} $$ of a kilometre Example: What is one hall of a metre? b. $$ \frac{1}{4} $$ of a kilometre C. $$ \frac{1}{4} $$ of a cenfimetre $$ \square $$ d. $$ \frac{1}{5} $$ of a kilometre $$ \square $$ $$ =\frac{1}{2} \times \frac{1000}{1} \mathrm{~mm} $$ $$ =\frac{1000}{2} \mathrm{~mm} \quad(1000+2) $$ e. $$ \frac{1}{4} $$ of a metre $$ \square $$ $$ =500 \mathrm{~mm} $$ 1. $$ \frac{1}{2} $$ of a centimetre $$ \square $$ 2. Solve these travel distance problems. If I completed $$ \qquad $$ of the distance of 500 km , how for do I still have to travel? Example: I completed one fifth of my 200 km journey. How far do I still need to travel? $$ \begin{array}{l} =\frac{1}{5} \times 200 \mathrm{~km} \ =\frac{1}{5} \times \frac{200}{1} \mathrm{~km} \ =\frac{200}{5} \mathrm{~km} \ =40 \mathrm{~km} \end{array} $$ I still need to travel 160 km . $$ (200 \mathrm{~km} $$ - 40 km ) a. $$ \frac{1}{10} $$ $$ \square $$ b. $$ \frac{1}{12} $$ $$ \square $$ C. $$ \frac{1}{2} $$ $$ \square $$ d. $$ \frac{1}{3} $$ $$ \square $$ e. $$ \frac{1}{4} $$ $$ \square $$ f. $$ \frac{1}{6} $$

Question

UpStudy AI · Accepted Answer

### 1. Measurement Distance Problems

#### a. $$\frac{1}{2}$$ of a kilometre  
A kilometre is $$1000$$ metres. Therefore,  
$$
\frac{1}{2} \times 1000 = 500 \text{ metres}
$$

---

#### b. $$\frac{1}{4}$$ of a kilometre  
$$
\frac{1}{4} \times 1000 = 250 \text{ metres}
$$

---

#### c. $$\frac{1}{4}$$ of a centimetre  
A centimetre is the basic unit here so:  
$$
\frac{1}{4} \times 1 = 0.25 \text{ centimetres}
$$  
If needed in millimetres (since $$1\,\text{cm} = 10\,\text{mm}$$):  
$$
0.25 \times 10 = 2.5 \text{ mm}
$$

---

#### d. $$\frac{1}{5}$$ of a kilometre  
$$
\frac{1}{5} \times 1000 = 200 \text{ metres}
$$

---

#### e. $$\frac{1}{4}$$ of a metre  
A metre is $$1000$$ millimetres. Thus,  
$$
\frac{1}{4} \times 1\,\text{m} = 0.25\,\text{m}
$$  
Converting to millimetres:  
$$
0.25 \times 1000 = 250 \text{ mm}
$$

---

#### f. $$\frac{1}{2}$$ of a centimetre  
$$
\frac{1}{2} \times 1 = 0.5 \text{ centimetres}
$$  
Converting to millimetres:  
$$
0.5 \times 10 = 5 \text{ mm}
$$

---

### 2. Travel Distance Problems

The total journey is $$500$$ km. For each part, we first compute the distance already completed and then subtract from $$500$$ km.

#### a. $$\frac{1}{10}$$ of 500 km  
Completed distance:  
$$
\frac{1}{10} \times 500 = 50 \text{ km}
$$  
Remaining distance:  
$$
500 - 50 = 450 \text{ km}
$$

---

#### b. $$\frac{1}{12}$$ of 500 km  
Completed distance:  
$$
\frac{1}{12} \times 500 = \frac{500}{12} \text{ km}
$$  
Remaining distance (written as a fraction):  
$$
500 - \frac{500}{12} = \frac{500 \times 12}{12} - \frac{500}{12} = \frac{6000 - 500}{12} = \frac{5500}{12} \text{ km}
$$  
This can be simplified by dividing numerator and denominator by 2:  
$$
\frac{5500}{12} = \frac{2750}{6} \text{ km}
$$  
Or expressed as a decimal, approximately:  
$$
\frac{500}{12} \approx 41.67 \text{ km} \quad \text{and} \quad 500 - 41.67 \approx 458.33 \text{ km}
$$

---

#### c. $$\frac{1}{2}$$ of 500 km  
Completed distance:  
$$
\frac{1}{2} \times 500 = 250 \text{ km}
$$  
Remaining distance:  
$$
500 - 250 = 250 \text{ km}
$$

---

#### d. $$\frac{1}{3}$$ of 500 km  
Completed distance:  
$$
\frac{1}{3} \times 500 = \frac{500}{3} \text{ km} \quad (\approx 166.67 \text{ km})
$$  
Remaining distance:  
$$
500 - \frac{500}{3} = \frac{1500 - 500}{3} = \frac{1000}{3} \text{ km} \quad (\approx 333.33 \text{ km})
$$

---

#### e. $$\frac{1}{4}$$ of 500 km  
Completed distance:  
$$
\frac{1}{4} \times 500 = 125 \text{ km}
$$  
Remaining distance:  
$$
500 - 125 = 375 \text{ km}
$$

---

#### f. $$\frac{1}{6}$$ of 500 km  
Completed distance:  
$$
\frac{1}{6} \times 500 = \frac{500}{6} \text{ km} \quad (\approx 83.33 \text{ km})
$$  
Remaining distance:  
$$
500 - \frac{500}{6} = \frac{3000 - 500}{6} = \frac{2500}{6} \text{ km} \quad (\approx 416.67 \text{ km})
$$
### 1. Measurement Distance Problems a. $$\frac{1}{2}$$ of a kilometre: 500 metres b. $$\frac{1}{4}$$ of a kilometre: 250 metres c. $$\frac{1}{4}$$ of a centimetre: 0.25 centimetres (2.5 mm) d. $$\frac{1}{5}$$ of a kilometre: 200 metres e. $$\frac{1}{4}$$ of a metre: 0.25 metres (250 mm) f. $$\frac{1}{2}$$ of a centimetre: 0.5 centimetres (5 mm) --- ### 2. Travel Distance Problems a. $$\frac{1}{10}$$ of 500 km: 50 km remaining (450 km) b. $$\frac{1}{12}$$ of 500 km: Approximately 41.67 km remaining (458.33 km) c. $$\frac{1}{2}$$ of 500 km: 250 km remaining (250 km) d. $$\frac{1}{3}$$ of 500 km: Approximately 166.67 km remaining (333.33 km) e. $$\frac{1}{4}$$ of 500 km: 375 km remaining (375 km) f. $$\frac{1}{6}$$ of 500 km: Approximately 83.33 km remaining (416.67 km)

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Arithmetic Questions