Study P3 Mathematics Length - Geniebook

# Length

Length is the measurement of how long, how short an item is or how far away 2 destinations are. The units for length we learn at P3 are centimetres ($$\text{cm}$$), metres ($$\text{m}$$) and kilometres ($$\text{km}$$).

1. Comparison of length based on figures
2. Conversion of length from $$\text{m}$$ to $$\text{cm}$$ and vice versa
3. Conversion of length from $$\text{km}$$ to $$\text{m}$$ and vice versa
4. Comparison of length

## 1. Comparison Of Length Based On Figures

Question 1:

Which string is the shortest?

1. String X
2. String Y
3. String Z

Solution:

String X is the shortest.

String Z has the most curls. String Z is the longest.

Hint: Imagine if all the strings are straight.

(1) String X

Question 2:

Which line is the longest?

1. Line A
2. Line B
3. Line C
4. Line D

(3) Line C

Question 3:

Which of the following is the shortest?

1. W
2. X
3. Y
4. Z

(1) W

Question 4:

Arrange the strings in order of their lengths, beginning with the shortest.

1. D, A, C, B
2. B, A, C , D
3. B, C, A, D
4. C, B, A, D

4) C, B, A, D

## 2. Conversion Of Length From m To cm And Vice Versa

To convert length from metres to centimetres and vice versa, we need to remember that:

$$1 \text{ m} = 100 \text{ cm}$$

Question 1:

Convert the following to centimetres.

$$2 \text{ m } = \text{__________} \text{ cm }$$

Solution:

$$2 \text{ m} = 200 \text{ cm}$$

$$200 \text{ cm }$$

Question 2:

Convert the following to centimetres.

$$12 \text{ m } = \text{ __________} \text{ cm }$$

Solution:

$$12 \text{ m } = 1200 \text{ cm }$$

$$1200 \text{ cm }$$

Question 3:

Convert the following to centimetres.

$$6 \text{ m } 10 \text{ cm } = \text{ __________} \text{ cm }$$

Solution:

$$6 \text{ m } 10 \text{ cm }$$

$$= 600 \text{ cm } + 10 \text{ cm }$$

$$= 610 \text{ cm }$$

$$610 \text{ cm }$$

Question 4:

Convert the following to centimetres.

$$9 \text{ m } 5 \text{ cm } = \text{ __________} \text{ cm }$$

Solution:

$$9 \text{ m } 5 \text{ cm }$$

$$= 900 \text{ cm } + 5 \text{ cm }$$

$$= 905 \text{ cm }$$

$$905 \text{ cm }$$

Question 5:

Convert the following to centimetres.

$$12 \text{ m } 45 \text{ cm } = \text{ __________} \text{ cm }$$

Solution:

$$12 \text{ m } 45 \text{ cm }$$

$$= 1200 \text{ cm } + 45 \text{ cm }$$

$$= 1245 \text{ cm }$$

$$1245 \text{ cm }$$

Question 6:

Convert the following to centimetres.

$$83 \text{ m } 7 \text{ cm } = \text{ __________} \text{ cm }$$

Solution:

$$83 \text{ m } 7 \text{ cm }$$

$$= 8300 \text{ cm } + 7 \text{ cm }$$

$$= 8307 \text{ cm }$$

$$830 \text{ cm }$$

Question 7:

Convert the following to centimetres.

$$10 \text{ m } 8 \text{ cm } = \text{ __________} \text{ cm }$$

Solution:

$$10 \text{ m } 8 \text{ cm }$$

$$= 1000 \text{ cm } + 8 \text{ cm }$$

$$= 1008 \text{ cm }$$

$$1008 \text{ cm }$$

Question 8:

Convert the following to metres.

$$300 \text{ cm } = \text{ __________} \text{ m }$$

Solution:

$$300 \text{ cm } = 3 \text{ m }$$

$$3 \text{ m }$$

Question 9:

Convert the following to metres.

$$1400 \text{ cm } = \text{ __________} \text{ m }$$

Solution:

$$1400 \text{ cm } = 14 \text{ m }$$

$$14 \text{ m }$$

Question 10:

Convert the following to metres.

$$400 \text{ cm } = \text{ __________} \text{ m }$$

Solution:

$$400 \text{ cm } = 4 \text{ m }$$

$$4 \text{ m }$$

Question 11:

Convert the following to metres and centimetres.

$$4000 \text{ cm } = \text{ __________} \text{ m } \text{ __________} \text{ cm }$$

Solution:

$$4000 \text{ cm } = 4 \text{ m } 0 \text{ cm }$$

$$4 \text{ m } 0 \text{ cm }$$

Question 12:

Convert the following to metres and centimetres.

$$480 \text{ cm } = \text{ __________} \text{ m } \text{ __________} \text{ cm }$$

Solution:

$$480 \text{ cm }$$

$$= 400 \text{ cm } + 80 \text{ cm }$$

$$= 4 \text{ m } 80 \text{ cm }$$

$$4 \text{ m } 80 \text{ cm }$$

Question 13:

Convert the following to metres and centimetres.

$$457 \text{ cm } = \text{ __________} \text{ m } \text{ __________} \text{ cm }$$

Solution:

$$457 \text{ cm }$$

$$= 400 \text{ cm } + 57 \text{ cm }$$

$$= 4 \text{ m } 57 \text{ cm }$$

$$4 \text{ m } 57 \text{ cm }$$

Question 14:

Convert the following to metres and centimetres.

$$208 \text{ cm } = \text{ __________} \text{ m } \text{ __________} \text{ cm }$$

Solution:

$$208 \text{ cm}$$

$$= 200 \text{ cm } + 8 \text{ cm }$$

$$= 2 \text{ m } 8 \text{ cm }$$

$$2 \text{ m } 8 \text{ cm }$$

## 3. Conversion Of Length (km To m And Vice Versa)

To convert length in kilometres to metres and vice versa, we need to remember that:

$$1 \text{ km } = 1000 \text{ m}$$

Question 1:

Convert the following to metres.

$$2 \text{ km } = \text{ __________} \text{ m }$$

Solution:

$$2 \text{ km } = 2000 \text{ m }$$

$$2000 \text{ m }$$

Question 2:

Convert the following to metres.

$$3 \text{ km } 500 \text{ m } = \text{ __________} \text{ m }$$

Solution:

$$3 \text{ km } 500 \text{ m }$$

$$= 3000 \text{ m } + 500 \text{ m }$$

$$= 3500 \text{ m }$$

$$3500 \text{ m }$$

Question 3:

Convert the following to metres.

$$7 \text{ km } 24 \text{ m } = \text{ __________} \text{ m }$$

Solution:

$$7 \text{ km } 24 \text{ m }$$

$$= 7000 \text{ m } + 24 \text{ m }$$

$$= 7024 \text{ m }$$

$$7024 \text{ m }$$

Question 4:

Convert the following to metres.

$$6 \text{ km } 4 \text{ m } = \text{ __________} \text{ m }$$

Solution:

$$6 \text{ km } 4 \text{ m }$$

$$= 6000 \text{ m } + 4 \text{ m }$$

$$= 6004 \text{ m }$$

$$6004 \text{ m }$$

Question 5:

Convert the following to metres.

$$8 \text{ km } 620 \text{ m } = \text{_________________} \text{ m }$$

Solution:

$$8 \text{ km } 620 \text{ m }$$

$$= 8000 \text{ m } + 620 \text{ m }$$

$$= 8620 \text{ m }$$

$$8620 \text{ m }$$

Question 6:

Convert the following to metres.

$$9 \text{ km } 20 \text{ m } = \text{ __________} \text{ m }$$

Solution:

$$9 \text{ km } 20 \text{ m }$$

$$= 9000 \text{ m } + 20 \text{ m }$$

$$= 9020 \text{ m }$$

$$9020 \text{ m }$$

Question 7:

Convert the following to metres.

$$7 \text{ km } 7 \text{ m } = \text{ __________} \text{ m }$$

Solution:

$$7 \text{ km } 7 \text{ m }$$

$$= 7000 \text{ m } + 7 \text{ m }$$

$$= 7007 \text{ m }$$

$$7007 \text{ m }$$

Question 8:

Convert the following to kilometres.

$$3000 \text{ m } = \text{ __________} \text{ km }$$

Solution:

$$3000 \text{ m } = 3 \text{ km }$$

$$3 \text{ km }$$

Question 9:

Convert the following to kilometres.

$$5000 \text{ m } = \text{ __________} \text{ km }$$

Solution:

$$5000 \text{ m } = 5 \text{ km }$$

$$5 \text{ km }$$

Question 10:

Convert the following to kilometres and metres.

$$4080 \text{ m } = \text{ __________} \text{ km } \text{ __________} \text{ m }$$

Solution:

$$4080 \text{ m }$$

$$= 4000 \text{ m } + 80 \text{ m }$$

$$= 4 \text{ km } 80 \text{ m }$$

$$4 \text{ km } 80 \text{ m }$$

Question 11:

Convert the following to kilometres and metres.

$$8700 \text{ m } = \text{ __________} \text{ km } \text{ __________} \text{ m }$$

Solution:

$$8700 \text{ m }$$

$$= 8000 \text{ m } + 700 \text{ m }$$

$$= 8 \text{ km } 700 \text{ m }$$

$$8 \text{ km } 700 \text{ m }$$

Question 12:

Convert the following to kilometres and metres.

$$4055 \text{ m } = \text{ __________} \text{ km } \text{ __________} \text{ m }$$

Solution:

$$4055 \text{ m }$$

$$= 4000 \text{ m } + 55 \text{ m }$$

$$= 4 \text{ km } 55 \text{ m }$$

$$4 \text{ km } 55 \text{ m }$$

Question 13:

Convert the following to kilometres and metres.

$$9022 \text{ m } = \text{ __________} \text{ km } \text{ __________} \text{ m }$$

Solution:

$$9022 \text{ m }$$

$$= 9000 \text{ m } + 22 \text{ m }$$

$$= 9 \text{ km } 22 \text{ m }$$

$$9 \text{ km } 22 \text{ m }$$

Question 14:

Convert the following to kilometres and metres.

$$3008 \text{ m } = \text{ __________} \text{ km } \text{ __________} \text{ m }$$

Solution:

$$3008 \text{ m }$$

$$= 3000 \text{ m } + 8 \text{ m }$$

$$= 3 \text{ km } 8 \text{ m }$$

$$3 \text{ km } 8 \text{ m }$$

## 4. Comparison Of Length

Convert all the lengths to the same units before comparing.

Question 1:

Which of the following is the shortest?

1. 7 m 7 cm
2. 70 cm
3. 770 cm
4. 7 m

Solution:

$$7 \text{ m } 7 \text{ cm }$$

$$= 700 \text{ cm } + 7 \text{ cm }$$

$$= 707 \text{ cm }$$

$$7 \text{ m } = 700 \text{ cm }$$

(2) $$70 \text{ cm }$$

Question 2:

Which of the following is the longest?

1. 8 km 80 m
2. 808 m
3. 880 m
4. 8 km 8 m

Solution:

$$8 \text{ km } 80 \text{ m }$$

$$= 8000 \text{ m } + 80 \text{ m }$$

$$= 8080 \text{ m }$$

$$8 \text{ km } 8 \text{ m }$$

$$= 8000 \text{ m } + 8 \text{ m }$$

$$= 8008 \text{ m }$$

(1) $$8 \text{ km } 80 \text{ m }$$

Question 3:

Arrange the following in ascending order

$$1 \text{ m } 30 \text{ cm }, 103 \text{ cm }, 139 \text{ cm }, 13 \text{ m }$$

Solution:

$$1 \text{ m } 30 \text{ cm }$$

$$= 100 \text{ cm } + 30 \text{ cm }$$

$$= 130 \text{ cm }$$

$$13 \text{ m } = 1300 \text{ cm }$$

Arranging in ascending order is arranging from the smallest to the greatest.

$$103 \text{ cm }, 1 \text{ m } 30 \text{ cm }, 139 \text{ cm }, 13 \text{ m }$$

$$103 \text{ cm }, 1 \text{ m } 30 \text{ cm }, 139 \text{ cm }, 13 \text{ m }$$

Question 4:

Arrange the following in descending order

$$4 \text{ m }, 4 \text{ m } 5 \text{ cm }, 450 \text{ cm }, 40 \text{ cm }$$

Solution:

$$4 \text{ m } = 400 \text{ cm }$$

$$4 \text{ m } 5 \text{ cm }$$

$$= 400 \text{ cm } + 5 \text{ cm }$$

$$= 405 \text{ cm }$$

Arranging in descending order is arranging from the greatest to the smallest.

$$450 \text{ cm }, 4 \text{ m } 5 \text{ cm }, 4 \text{ m }, 40 \text{ cm }$$

$$450 \text{ cm }, 4 \text{ m } 5 \text{ cm }, 4 \text{ m }, 40 \text{ cm }$$

Question 5:

Arrange the following in ascending order

$$5022 \text{ m }, 5 \text{ km } 202 \text{ m }, 5 \text{ km } 220 \text{ m }, 5002 \text{ m }$$

Solution:

$$5 \text{ km } 202 \text{ m }$$

$$= 5000 \text{ m } + 202 \text{ m }$$

$$= 5202 \text{ m }$$

$$5 \text{ km } 220 \text{ m }$$

$$= 5000 \text{ m } + 220 \text{ m }$$

$$= 5220 \text{ m }$$

Arranging in ascending order is arranging from the smallest to the greatest.

$$5002 \text{ m }, 5022 \text{ m }, 5 \text{ km } 202 \text{ m }, 5 \text{ km } 220 \text{ m }$$

$$5002 \text{ m }, 5022 \text{ m }, 5 \text{ km } 202 \text{ m }, 5 \text{ km } 220 \text{ m }$$

Question 6:

Arrange the following in descending order

$$9 \text{ km } 990 \text{ m }, 9099 \text{ m }, 9909 \text{ m }, 9 \text{ km } 9 \text{ m }$$

Solution:

$$9 \text{ km } 990 \text{ m }$$

$$= 9000 \text{ m } + 990 \text{ m }$$

$$= 9990 \text{ m }$$

$$9 \text{ km } 9 \text{ m }$$

$$= 9000 \text{ m } + 9 \text{ m }$$

$$= 9009 \text{ m }$$

Arranging in descending order is arranging from the greatest to the smallest.

$$9 \text{ km } 990 \text{ m }, 9909 \text{ m }, 9099 \text{ m }, 9 \text{ km } 9 \text{ m }$$

$$9 \text{ km } 990 \text{ m }, 9909 \text{ m }, 9099 \text{ m }, 9 \text{ km } 9 \text{ m }$$

Continue Learning
Volume Money
Mass Fractions
Addition And Subtraction Whole Numbers 1
Whole Numbers 3 Whole Numbers 6
Bar Graphs Angles
Multiplication And Division Length, Mass And Volume
Length Area And Perimeter
Parallel And Perpendicular Lines

Primary
Primary 1
Primary 2
Primary 3
English
Maths
Volume
Money
Mass
Fractions
Whole Numbers 1
Whole Numbers 3
Whole Numbers 6
Bar Graphs
Angles
Multiplication and Division
Length, Mass And Volume
Length
Area and Perimeter
Parallel And Perpendicular Lines
Science
Primary 4
Primary 5
Primary 6
Secondary
Secondary 1
Secondary 2
Secondary 3
Secondary 4