Math worksheet for grade students focusing on adding and subtracting lengths in kilometers, meters, and centimeters.

Let's solve the problems step by step.

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1. Addition Problems

We are adding distances in kilometers (km) and meters (m), or meters (m) and centimeters (cm). We must remember:

- 1 km = 1000 m
- 1 m = 100 cm

So, when adding, if the sum of meters exceeds 1000 m, we convert to km. Similarly, if cm exceed 100, we convert to m.

---

#### (a)
```
km m
5 3
+ 8 4
-------
```

Add:
- Meters: 3 + 4 = 7 m
- Kilometers: 5 + 8 = 13 km

Answer: 13 km 7 m

---

#### (b)
```
km m
25 105
+ 22 203
---------
```

Add:
- Meters: 105 + 203 = 308 m → less than 1000, so no carry
- Kilometers: 25 + 22 = 47 km

Answer: 47 km 308 m

---

#### (c)
```
km m
1500 500
+ 2000 700
----------
```

Add:
- Meters: 500 + 700 = 1200 m → 1200 m = 1 km 200 m
- Kilometers: 1500 + 2000 = 3500 km
- Add carry: 3500 + 1 = 3501 km
- Meters: 200 m

Answer: 3501 km 200 m

---

#### (d)
```
km m
33 38
+ 42 47
--------
```

Add:
- Meters: 38 + 47 = 85 m
- Kilometers: 33 + 42 = 75 km

Answer: 75 km 85 m

---

#### (e)
```
km m
92 55
+ 50 45
--------
```

Add:
- Meters: 55 + 45 = 100 m → 100 m = 1 km 0 m → carry 1 km
- Kilometers: 92 + 50 = 142 km
- Add carry: 142 + 1 = 143 km
- Meters: 0 m

Answer: 143 km 0 m

---

#### (f)
```
km m
49 35
+ 40 95
--------
```

Add:
- Meters: 35 + 95 = 130 m → 130 m = 1 km 30 m → carry 1 km
- Kilometers: 49 + 40 = 89 km
- Add carry: 89 + 1 = 90 km
- Meters: 30 m

Answer: 90 km 30 m

---

#### (g)
```
m cm
300 200
+ 450 550
----------
```

Add:
- Centimeters: 200 + 550 = 750 cm → less than 100? No — 750 > 100 → convert
- 750 cm = 7 m 50 cm → carry 7 m
- Meters: 300 + 450 = 750 m
- Add carry: 750 + 7 = 757 m
- Centimeters: 50 cm

Answer: 757 m 50 cm

---

#### (h)
```
m cm
500 200
+ 450 300
----------
```

Add:
- Centimeters: 200 + 300 = 500 cm → 500 cm = 5 m 0 cm → carry 5 m
- Meters: 500 + 450 = 950 m
- Add carry: 950 + 5 = 955 m
- Centimeters: 0 cm

Answer: 955 m 0 cm

---

#### (i)
```
m cm
80 27
+ 21 56
--------
```

Add:
- Centimeters: 27 + 56 = 83 cm → less than 100 → ok
- Meters: 80 + 21 = 101 m

Answer: 101 m 83 cm

---

2. Subtraction Problems

Now subtract, borrowing as needed.

---

#### (a)
```
km m
449 700
- 300 250
----------
```

Subtract:
- Meters: 700 - 250 = 450 m
- Kilometers: 449 - 300 = 149 km

Answer: 149 km 450 m

---

#### (b)
```
km m
849 300
- 441 200
----------
```

Subtract:
- Meters: 300 - 200 = 100 m
- Kilometers: 849 - 441 = 408 km

Answer: 408 km 100 m

---

#### (c)
```
km m
240 100
- 135 150
----------
```

Meters: 100 < 150 → need to borrow 1 km = 1000 m

- So, 240 km 100 m becomes 239 km 1100 m
- Now subtract:
- Meters: 1100 - 150 = 950 m
- Kilometers: 239 - 135 = 104 km

Answer: 104 km 950 m

---

#### (d)
```
m cm
50 80
- 30 75
--------
```

Centimeters: 80 > 75 → no problem

- Cm: 80 - 75 = 5 cm
- Meters: 50 - 30 = 20 m

Answer: 20 m 5 cm

---

#### (e)
```
m cm
42 50
- 35 37
--------
```

Cm: 50 > 37 → no problem

- Cm: 50 - 37 = 13 cm
- Meters: 42 - 35 = 7 m

Answer: 7 m 13 cm

---

#### (f)
```
m cm
250 90
- 242 45
--------
```

Cm: 90 > 45 → no problem

- Cm: 90 - 45 = 45 cm
- Meters: 250 - 242 = 8 m

Answer: 8 m 45 cm

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✔ Final Answers Summary

#### 1. Addition:

1. 5 km 3 m + 8 km 4 m = 13 km 7 m
2. 25 km 105 m + 22 km 203 m = 47 km 308 m
3. 1500 km 500 m + 2000 km 700 m = 3501 km 200 m
4. 33 km 38 m + 42 km 47 m = 75 km 85 m
5. 92 km 55 m + 50 km 45 m = 143 km 0 m
6. 49 km 35 m + 40 km 95 m = 90 km 30 m
7. 300 m 200 cm + 450 m 550 cm = 757 m 50 cm
8. 500 m 200 cm + 450 m 300 cm = 955 m 0 cm
9. 80 m 27 cm + 21 m 56 cm = 101 m 83 cm

#### 2. Subtraction:

1. 449 km 700 m - 300 km 250 m = 149 km 450 m
2. 849 km 300 m - 441 km 200 m = 408 km 100 m
3. 240 km 100 m - 135 km 150 m = 104 km 950 m
4. 50 m 80 cm - 30 m 75 cm = 20 m 5 cm
5. 42 m 50 cm - 35 m 37 cm = 7 m 13 cm
6. 250 m 90 cm - 242 m 45 cm = 8 m 45 cm

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