MEASUREMENT
Class V
• Length tells us how long or wide an object is.
Measurement for stitching clothes
Distance between school and college
• The units of measurement of length are metre (m), kilometre
(km), centimetre (cm) etc.
Mass tells us how much amount of matter is present in an object.
The units of measurement of mass are gram (g), kilogram (kg) etc.
Capacity tells us how much amount of space is occupied by an
object.
The units of measurement of capacity are litre (l), kilolitre (kl) etc.
Thousandths
period
Ones period
Thousandths
period
Ones period
Thousandths
period
Ones period
Ones
Metre
Thousandths
period
Ones period
Ones
Deca Metre
Thousandths
period
Ones period
Tens
Ones
Deca Metre
Thousandths
period
Ones period
Tens
Ones
Hecto Deca Metre
Thousandths
period
Ones period
Hundreds
Tens
Ones
Hecto Deca Metre
Thousandths
period
Ones period
Hundreds
Tens
Ones
Kilo Hecto Deca Metre
Thousandths
period
Ones period
Thousands
Hundreds
Tens
Ones
Kilo Hecto Deca Metre
Decimals
Tenths
Decimals
Tenths
Deci
Tenths
1
10
Deci
Tenths Hundredths
1
10
Deci
Tenths Hundredths
1
10
Deci Centi
Hundredths
𝟏
𝟏𝟎𝟎
Centi
Thousandths
Thousandths
Milli
Thousandths
𝟏
𝟏𝟎𝟎𝟎
Milli
K ing H enry D ied M ary D in’t C ry M uch
Kilometre
Hectometre
Decametre
Metre
Decimetre
Centimetre
Millimetre
km hm dam m dm cm mm
1 km = 1000
m
1 hm = 100
m
1 dam = 10
m
Base unit 1 dm = 1/10
m
1 cm =
1/100 m
1 mm =
1/1000 m
Measures of length
Add 51.23 dm and 98.50 dm
dm
5 1 . 2 3
+ 9 8 . 5 0
------------------
dm
5 1 . 2 3
+ 9 8 . 5 0
------------------
7 3
dm
5 1 . 2 3
+ 9 8 . 5 0
------------------
. 7 3
dm
5 1 . 2 3
+ 9 8 . 5 0
------------------
9 . 7 3
dm
5 1 . 2 3
+ 9 8 . 5 0
------------------
1 4 9 . 7 3
• Sam walked 2.40 km on Monday, 4.59 km on Tuesday
and 3.21 km on Wednesday. How many kilometres
did he walked in three days?
Solution
Distance covered by sam on Monday = 2.40 km
Distance covered by sam on Tuesday = 4.59 km
Distance covered by sam on Wednesday = 3.21 km
Total distance covered by sam in three days =
2.40 km + 4.59 km + 3.21 km
Km
2 . 4 0 km
+ 4 . 5 9 km
+ 3 . 2 1 km
---------------------
0+9+1= 10
Km
1
2 . 4 0 km
+ 4 . 5 9 km
+ 3 . 2 1 km
---------------------
0 km
1+4+5+2= 12
Km
2 . 4 0 km
+ 4 . 5 9 km
+ 3 . 2 1 km
---------------------
. 2 0 km
1
1+2+4+3= 10
1 0
Total distance
covered by sam in
three days = 10.20 km
• Subtract 78.59 hm from 90.20 hm
hm
9 0 . 2 0
- 7 8 . 5 9
------------------
hm
1
9 0 . 2 10
- 7 8 . 5 9
------------------
1
hm
1
9 0 . 2 10
- 7 8 . 5 9
------------------
1
hm
1
9 0 . 2 10
- 7 8 . 5 9
------------------
1
8
hm
1
9 10 . 2 10
- 7 8 . 5 9
------------------
1
hm
1
9 10 . 2 10
- 7 8 . 5 9
------------------
1
hm
1
9 10 . 2 10
- 7 8 . 5 9
------------------
. 6
9 1
9 10 . 2 10
- 7 8 . 5 9
----------------
9 1
9 10 . 2 10
- 7 8 . 5 9
----------------
1 1
• The average length of a humpback whale is 13.93 m.
The average length of a killer whale is 6.91 m. How
much long the humpback whale than the killer whale?
Solution:
Length of humpback whale = 1 3 . 9 3 m
Length of killer whale = 6 . 9 1 m
Length of killer whale = - 6 . 9 1 m
2 m
. 0
7
Humpback whale is 7.02 m longer than killer whale.
Kilometre Hectometre Decametre Metre Decimetre Centimetre Millimetre
1 10 100 1000 10000 100000 1000000
LENGTH
Kilometre Hectometre Decametre Metre Decimetre Centimetre Millimetre
1 10 100 1000 10000 100000 1000000
𝟏
𝟏𝟎
1 10 100 1000 10000 100000
Kilometre Hectometre Decametre Metre Decimetre Centimetre Millimetre
1 10 100 1000 10000 100000 1000000
𝟏
𝟏𝟎
1 10 100 1000 10000 100000
𝟏
𝟏𝟎𝟎
𝟏
𝟏𝟎
1 10 100 1000 10000
𝟏
𝟏𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎
𝟏
𝟏𝟎
1 10 100 1000
𝟏
𝟏𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎
𝟏
𝟏𝟎
1 10 100
𝟏
𝟏𝟎𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎
𝟏
𝟏𝟎
1 10
𝟏
𝟏𝟎𝟎𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎
𝟏
𝟏𝟎
1
Conversion between the units
Millimetre
Kilometre
Hectometre
Decametre
Metre
Decimetre
Centimetre
X 10
X 10
X 10
X 10
X 10
X 10
 10
 10
 10
 10
 10
 10
• Express 6 km in metres.
Solution
1 km = 1000 m
6 km = 6 x 1000
= 6000 m
• Express 4 mm in metres.
Solution
1 mm =
𝟏
𝟏𝟎𝟎𝟎
m
4 mm = 4 x
𝟏
𝟏𝟎𝟎𝟎
= 0.004 m
• Express 10 cm in metres.
Solution
1 cm =
𝟏
𝟏𝟎𝟎
m
10 cm = 10 x
𝟏
𝟏𝟎𝟎
= 0.01 m
• Express 12 m 4 cm in millimetres.
Solution
1 m = 1000 mm
12 m = 12 x 1000
= 12000 mm
1 cm = 10 mm
4 cm = 4 x 10 mm
= 40 mm
12 m 4 cm = 12000 mm + 40 mm
= 12040 mm
Choose the correct option
How many metres are there in 6.5 km?
6500 m 650 m
Correct answer
6500 m
• From 2 m of cloth 75 cm is taken out.
How long cloth is left now?
Solution: 1 m = 100 cm
2 m = 2 x 100
= 200 cm
If 75 cm is taken out
= 200 cm – 75 cm
= 125 cm
1 cm =
𝟏
𝟏𝟎𝟎
m
125 cm =
𝟏𝟐𝟓
𝟏𝟎𝟎
m
= 1.25 m
Tonnes Kilograms Grams Milligrams
1 1000 1000000 1000000000
MASS
Tonnes Kilograms Grams Milligrams
1 1000 1000000 1000000000
𝟏
𝟏𝟎𝟎𝟎
1 1000 1000000
Tonnes Kilograms Grams Milligrams
1 1000 1000000 1000000000
𝟏
𝟏𝟎𝟎𝟎
1 1000 1000000
𝟏
𝟏𝟎𝟎𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎
1 𝟏𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎𝟎𝟎𝟎
𝟏
𝟏𝟎𝟎𝟎
1
Tonnes Kilograms Grams Milligrams
X 1000 X 1000 X 1000
÷ 1000 ÷ 1000 ÷ 1000
• Express 65 g in milligrams
Solution
1 g = 1000 g
65 g = 65 x 1000
= 65000 mg
• The cost of 10 gram gold is 25000 rupees.
What will be the cost of 1 kg gold?
Solution
1 kg = 1000 g
Cost of 1 gram gold is
=
𝟐𝟓𝟎𝟎𝟎
𝟏𝟎
= 2500 rupees
Cost of 1 kg gold is
= 1000 x 2500
= 2500000 rupees
= 25 Lakhs
MATH - MEASUREMENT (CLASS V)

MATH - MEASUREMENT (CLASS V)

  • 2.
  • 6.
    • Length tellsus how long or wide an object is. Measurement for stitching clothes Distance between school and college • The units of measurement of length are metre (m), kilometre (km), centimetre (cm) etc.
  • 7.
    Mass tells ushow much amount of matter is present in an object. The units of measurement of mass are gram (g), kilogram (kg) etc.
  • 8.
    Capacity tells ushow much amount of space is occupied by an object. The units of measurement of capacity are litre (l), kilolitre (kl) etc.
  • 9.
    Thousandths period Ones period Thousandths period Ones period Thousandths period Onesperiod Ones Metre Thousandths period Ones period Ones Deca Metre Thousandths period Ones period Tens Ones Deca Metre Thousandths period Ones period Tens Ones Hecto Deca Metre Thousandths period Ones period Hundreds Tens Ones Hecto Deca Metre Thousandths period Ones period Hundreds Tens Ones Kilo Hecto Deca Metre Thousandths period Ones period Thousands Hundreds Tens Ones Kilo Hecto Deca Metre Decimals Tenths Decimals Tenths Deci Tenths 1 10 Deci Tenths Hundredths 1 10 Deci Tenths Hundredths 1 10 Deci Centi Hundredths 𝟏 𝟏𝟎𝟎 Centi Thousandths Thousandths Milli Thousandths 𝟏 𝟏𝟎𝟎𝟎 Milli
  • 10.
    K ing Henry D ied M ary D in’t C ry M uch Kilometre Hectometre Decametre Metre Decimetre Centimetre Millimetre km hm dam m dm cm mm 1 km = 1000 m 1 hm = 100 m 1 dam = 10 m Base unit 1 dm = 1/10 m 1 cm = 1/100 m 1 mm = 1/1000 m Measures of length
  • 11.
    Add 51.23 dmand 98.50 dm dm 5 1 . 2 3 + 9 8 . 5 0 ------------------ dm 5 1 . 2 3 + 9 8 . 5 0 ------------------ 7 3 dm 5 1 . 2 3 + 9 8 . 5 0 ------------------ . 7 3 dm 5 1 . 2 3 + 9 8 . 5 0 ------------------ 9 . 7 3 dm 5 1 . 2 3 + 9 8 . 5 0 ------------------ 1 4 9 . 7 3
  • 12.
    • Sam walked2.40 km on Monday, 4.59 km on Tuesday and 3.21 km on Wednesday. How many kilometres did he walked in three days? Solution Distance covered by sam on Monday = 2.40 km Distance covered by sam on Tuesday = 4.59 km Distance covered by sam on Wednesday = 3.21 km Total distance covered by sam in three days = 2.40 km + 4.59 km + 3.21 km
  • 13.
    Km 2 . 40 km + 4 . 5 9 km + 3 . 2 1 km --------------------- 0+9+1= 10 Km 1 2 . 4 0 km + 4 . 5 9 km + 3 . 2 1 km --------------------- 0 km 1+4+5+2= 12 Km 2 . 4 0 km + 4 . 5 9 km + 3 . 2 1 km --------------------- . 2 0 km 1 1+2+4+3= 10 1 0 Total distance covered by sam in three days = 10.20 km
  • 14.
    • Subtract 78.59hm from 90.20 hm hm 9 0 . 2 0 - 7 8 . 5 9 ------------------ hm 1 9 0 . 2 10 - 7 8 . 5 9 ------------------ 1 hm 1 9 0 . 2 10 - 7 8 . 5 9 ------------------ 1 hm 1 9 0 . 2 10 - 7 8 . 5 9 ------------------ 1 8 hm 1 9 10 . 2 10 - 7 8 . 5 9 ------------------ 1 hm 1 9 10 . 2 10 - 7 8 . 5 9 ------------------ 1 hm 1 9 10 . 2 10 - 7 8 . 5 9 ------------------ . 6 9 1 9 10 . 2 10 - 7 8 . 5 9 ---------------- 9 1 9 10 . 2 10 - 7 8 . 5 9 ---------------- 1 1
  • 15.
    • The averagelength of a humpback whale is 13.93 m. The average length of a killer whale is 6.91 m. How much long the humpback whale than the killer whale? Solution: Length of humpback whale = 1 3 . 9 3 m Length of killer whale = 6 . 9 1 m Length of killer whale = - 6 . 9 1 m 2 m . 0 7 Humpback whale is 7.02 m longer than killer whale.
  • 16.
    Kilometre Hectometre DecametreMetre Decimetre Centimetre Millimetre 1 10 100 1000 10000 100000 1000000 LENGTH
  • 17.
    Kilometre Hectometre DecametreMetre Decimetre Centimetre Millimetre 1 10 100 1000 10000 100000 1000000 𝟏 𝟏𝟎 1 10 100 1000 10000 100000
  • 18.
    Kilometre Hectometre DecametreMetre Decimetre Centimetre Millimetre 1 10 100 1000 10000 100000 1000000 𝟏 𝟏𝟎 1 10 100 1000 10000 100000 𝟏 𝟏𝟎𝟎 𝟏 𝟏𝟎 1 10 100 1000 10000 𝟏 𝟏𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎 𝟏 𝟏𝟎 1 10 100 1000 𝟏 𝟏𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎 𝟏 𝟏𝟎 1 10 100 𝟏 𝟏𝟎𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎 𝟏 𝟏𝟎 1 10 𝟏 𝟏𝟎𝟎𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎 𝟏 𝟏𝟎 1
  • 19.
    Conversion between theunits Millimetre Kilometre Hectometre Decametre Metre Decimetre Centimetre X 10 X 10 X 10 X 10 X 10 X 10  10  10  10  10  10  10
  • 20.
    • Express 6km in metres. Solution 1 km = 1000 m 6 km = 6 x 1000 = 6000 m
  • 21.
    • Express 4mm in metres. Solution 1 mm = 𝟏 𝟏𝟎𝟎𝟎 m 4 mm = 4 x 𝟏 𝟏𝟎𝟎𝟎 = 0.004 m
  • 22.
    • Express 10cm in metres. Solution 1 cm = 𝟏 𝟏𝟎𝟎 m 10 cm = 10 x 𝟏 𝟏𝟎𝟎 = 0.01 m
  • 23.
    • Express 12m 4 cm in millimetres. Solution 1 m = 1000 mm 12 m = 12 x 1000 = 12000 mm 1 cm = 10 mm 4 cm = 4 x 10 mm = 40 mm 12 m 4 cm = 12000 mm + 40 mm = 12040 mm
  • 24.
    Choose the correctoption How many metres are there in 6.5 km? 6500 m 650 m Correct answer 6500 m
  • 25.
    • From 2m of cloth 75 cm is taken out. How long cloth is left now? Solution: 1 m = 100 cm 2 m = 2 x 100 = 200 cm If 75 cm is taken out = 200 cm – 75 cm = 125 cm 1 cm = 𝟏 𝟏𝟎𝟎 m 125 cm = 𝟏𝟐𝟓 𝟏𝟎𝟎 m = 1.25 m
  • 26.
    Tonnes Kilograms GramsMilligrams 1 1000 1000000 1000000000 MASS
  • 27.
    Tonnes Kilograms GramsMilligrams 1 1000 1000000 1000000000 𝟏 𝟏𝟎𝟎𝟎 1 1000 1000000
  • 28.
    Tonnes Kilograms GramsMilligrams 1 1000 1000000 1000000000 𝟏 𝟏𝟎𝟎𝟎 1 1000 1000000 𝟏 𝟏𝟎𝟎𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎 1 𝟏𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎𝟎𝟎𝟎 𝟏 𝟏𝟎𝟎𝟎 1
  • 29.
    Tonnes Kilograms GramsMilligrams X 1000 X 1000 X 1000 ÷ 1000 ÷ 1000 ÷ 1000
  • 30.
    • Express 65g in milligrams Solution 1 g = 1000 g 65 g = 65 x 1000 = 65000 mg
  • 31.
    • The costof 10 gram gold is 25000 rupees. What will be the cost of 1 kg gold? Solution 1 kg = 1000 g Cost of 1 gram gold is = 𝟐𝟓𝟎𝟎𝟎 𝟏𝟎 = 2500 rupees Cost of 1 kg gold is = 1000 x 2500 = 2500000 rupees = 25 Lakhs