Length: Addition and subtraction | Download Free Length: Addition ... - Free Printable

Of course! Let's solve the problems step by step. The worksheet involves adding and subtracting lengths given in kilometers (km) and meters (m), or meters (m) and centimeters (cm). We must remember the metric conversions:

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

When adding or subtracting, we align units (km with km, m with m, cm with cm) and carry over or borrow as needed — just like regular addition/subtraction, but respecting the metric system.

---

## Part 1: Addition

First Row:

a)
```
km m
5 3
+ 8 4
---------
```
Add meters: 3 + 4 = 7 m
Add kilometers: 5 + 8 = 13 km
✔ Answer: 13 km 7 m

---

b)
```
km m
25 105
+ 22 203
----------
```
Meters: 105 + 203 = 308 m → This is less than 1000, so no carryover.
Kilometers: 25 + 22 = 47 km
✔ Answer: 47 km 308 m

---

c)
```
km m
1500 500
+ 2000 700
------------
```
Meters: 500 + 700 = 1200 m → 1200 m = 1 km + 200 m → Carry 1 km to km column.
Kilometers: 1500 + 2000 + 1 (carry) = 3501 km
✔ Answer: 3501 km 200 m

---

Second Row:

d)
```
km m
33 38
+ 42 47
---------
```
Meters: 38 + 47 = 85 m
Kilometers: 33 + 42 = 75 km
✔ Answer: 75 km 85 m

---

e)
```
km m
92 55
+ 50 45
---------
```
Meters: 55 + 45 = 100 m → 100 m = 0.1 km → So, carry 1 km to km column.
Kilometers: 92 + 50 + 1 = 143 km
✔ Answer: 143 km 0 m (or just 143 km)

---

f)
```
km m
49 35
+ 40 95
---------
```
Meters: 35 + 95 = 130 m → 130 m = 100 m + 30 m → Carry 1 km.
Kilometers: 49 + 40 + 1 = 90 km
✔ Answer: 90 km 30 m

---

Third Row (m and cm):

g)
```
m cm
300 200
+ 450 550
-----------
```
Centimeters: 200 + 550 = 750 cm → 750 cm = 7 m + 50 cm → Carry 7 m to m column.
Meters: 300 + 450 + 7 = 757 m
✔ Answer: 757 m 50 cm

---

h)
```
m cm
500 200
+ 450 300
-----------
```
Centimeters: 200 + 300 = 500 cm → 500 cm = 5 m → Carry 5 m.
Meters: 500 + 450 + 5 = 955 m
✔ Answer: 955 m 0 cm (or 955 m)

---

i)
```
m cm
80 27
+ 21 56
-----------
```
Centimeters: 27 + 56 = 83 cm
Meters: 80 + 21 = 101 m
✔ Answer: 101 m 83 cm

---

## Part 2: Subtraction

We subtract column by column, borrowing from the next higher unit if needed.

First Row:

j)
```
km m
449 700
- 300 250
-----------
```
Meters: 700 - 250 = 450 m
Kilometers: 449 - 300 = 149 km
✔ Answer: 149 km 450 m

---

k)
```
km m
849 300
- 441 200
-----------
```
Meters: 300 - 200 = 100 m
Kilometers: 849 - 441 = 408 km
✔ Answer: 408 km 100 m

---

l)
```
km m
240 100
- 135 150
-----------
```
Meters: 100 - 150 → Can’t do! Borrow 1 km = 1000 m
So, 240 km 100 m becomes 239 km 1100 m
Now: 1100 - 150 = 950 m
Kilometers: 239 - 135 = 104 km
✔ Answer: 104 km 950 m

---

Second Row (m and cm):

m)
```
m cm
50 80
- 30 75
-----------
```
Centimeters: 80 - 75 = 5 cm
Meters: 50 - 30 = 20 m
✔ Answer: 20 m 5 cm

---

n)
```
m cm
42 50
- 35 37
-----------
```
Centimeters: 50 - 37 = 13 cm
Meters: 42 - 35 = 7 m
✔ Answer: 7 m 13 cm

---

o)
```
m cm
250 90
- 242 45
-----------
```
Centimeters: 90 - 45 = 45 cm
Meters: 250 - 242 = 8 m
✔ Answer: 8 m 45 cm

---

## ✔ Final Answers Summary:

1. Addition:

a) 13 km 7 m
b) 47 km 308 m
c) 3501 km 200 m
d) 75 km 85 m
e) 143 km 0 m
f) 90 km 30 m
g) 757 m 50 cm
h) 955 m 0 cm
i) 101 m 83 cm

2. Subtraction:

j) 149 km 450 m
k) 408 km 100 m
l) 104 km 950 m
m) 20 m 5 cm
n) 7 m 13 cm
o) 8 m 45 cm

Let me know if you’d like a printable version or explanation for any specific problem!