Bigger Units to Smaller Units

To convert a bigger unit a smaller unit, we move the decimal point of the right. In other words, we can say that we multiply. This is very important for us to learn how to convert bigger units into smaller units. We use it often in our daily life.

Measurement of length, mass and capacity tables can be represented in the form of a place-value chart as shown below.

Metric Conversion Table

I: Converting Larger Units of Length into Smaller Units of Length:

Conversion of higher units into lower units::

1. Convert 22 cm into mm.

Solution:

We know that 1 cm = 10 mm

                   22 cm = 22 × 10 mm

                             = 220 mm


2. Convert 17 cm 8 mm into mm.

Solution:

17 cm 8 mm = 17 cm + 8 mm

We know that 1 cm = 10 mm

17 cm + 8 mm = 17 × 10 mm + 8 mm

                       = 170 mm + 8 mm

                       = 178 mm


3. Convert 5 km into meters.                                                                                                                                                                          Solution:

We know that 1 km = 1000 m

                     5 km = 5 × 1000 m

                             = 5000 m


4. Convert 9 km 248 m into meters.

Solution:

9 km 248 m = 9 km + 248 m

We know that 1 km = 1000 m

9 km + 248 m = 9 × 1000 m + 248 m

                      = 9000 m + 248 m

                      = 9248 m


5. Convert 4 meters into decimeters.

Solution:

We know that 1 m = 10 dm

                     4 m = 4 × 10 dm

                            = 40 dm


Conversion of higher units into lower units:

(Make use of the above table)

6. Convert 53 km to (i) hectometre  (ii) decametre  (iii) metre

(i) 1 kilometre = 10 hectometres

  53 km          = 53 × 10 hectometres

                     = 530 hectometres


(ii) 1 kilometre = 10 × 10 decametres

53 km              = 53 × 100 decametres

                       = 5300 decametres


(iii) 1 kilometre = 10 × 10 × 10 metres

53 km               = 53 × 1000 metres

                        = 53000 metres


II: Converting Bigger Units of Mass into Smaller Units of mass:

To convert kilogram into grams and grams into milligrams, we multiply by 1000.

For example:

1. Convert 5 g into mg.

We know that 1 g = 1000 mg

5 g = 5 × 1000 mg

      = 5000 mg 


2. Express 5 kg 350 g as g.

We know that 1 kg = 1000 g

So, 5 kg = 5 × 1000 g

             = 5000 g 

5 kg 350 g = 5000 g + 350 g

                = 5300 g


3. Convert 61 hectograms to centigrams

1 hg = 10 × 10 × 10 × 10 cg

       = 10000 cg

Therefore, 61 hg = 61 × 10000 cg

                         = 610000 cg


4. Convert 6 quintals to kilograms.

1 quintal = 100 kg

6 quintals = 6 × 100 kg

               = 600 kg


5. Convert 7 tonnes to (i) quintals (ii) kilograms

(i) 1 tonne = 10 quintals

7 tonnes = 7 × 10

             = 70 quintals

(ii) 1 tonne = 1000 kg

7 tonnes = 7 × 1000

             = 7000 kg


IV: Converting Bigger Units of Capacity into Smaller Units of Capacity:

To convert liters into milliliters, we multiply the number of liters by 1000.

For example:

1. Express 54 l into ml.

We know that 1 l = 1000 ml

Hence, 54 l = 54 × 1000 ml

                 = 54000 ml


2. Express 29 l 360 ml into ml.

We know that 1 l = 1000 ml

Hence, 29 l 360 ml = 29 × 1000 ml + 360 ml

                            = 29000 ml + 360 ml

                            = 29360 ml


3. Convert 1.54 decalitres to centilitres

1 dal = 10 × 10 × 10 cl

        = 1000 cl

Therefore, 1.54 dal = 1.54 × 1000 cl

                             = 1540 cl


Note: When a higher unit is changed into a lower unit, we multiply the number of the higher unit by the number showing the relationship between the two units.


Solved examples for the conversion of bigger units to smaller units:

1. Convert 723.469 kilograms into the following units:

(i) hectograms

(ii) decagrams

(iii) grams

(iv) decigrams

(v) centigrams

(vi) milligrams


Solution:

(i) 723.469 kg = (723.469 × 10) hg = 7234.69 hg

(ii) 723.469 kg = (723.469 × 100) dag = 72346.9 dag

(iii) 723.469 kg = (723.469 × 1000) g = 723469 g

(iv) 723.469 kg = (723.469 × 10000) dg = 7234690 dg

(v) 723.469 kg = (723.469 × 100000) cg = 72346900 cg

(vi) 723.469 kg = (723.469 × 1000000) mg = 723469000 mg


Let us consider another example involving different types of conversions.

2. Convert the following:

(i) 8 m 6 dm 3 cm 2 mm to mm

(ii) 2 kg 4 hg 6 dag 8 g to g

(iii) 7 l 1 dl 4 cl 9 ml to ml

Solution:

(i) 8 m 6 dm 3 cm 2 mm to mm

= (8 × 1000 + 6 × 100 + 3 × 10 + 2) mm, [Because 1 m = 1000 mm, 1 dm = 100 mm and 1 cm = 10 mm]

= (8000 + 600 + 30 + 2) mm

= 8632 mm

 

(ii) 2 kg 4 hg 6 dag 8 g to g

= (2 × 1000 + 4 × 100 + 6 × 10 + 8) g, [Because 1 kg = 1000 g, 1 dg = 100 g and 1 dag = 10 g]

= (2000 + 400 + 60 + 8) g

= 2468 g

 

(iii) 7 l 1 dl 4 cl 9 ml to ml

= (7 × 1000 + 1 × 100 + 4 × 10 + 9) ml, [Because 1 l = 1000 ml, 1 dl = 100 ml and 1 cl = 10 ml]

= (7000 + 100 + 40 + 9) g

= 7149 ml


3. Convert 9 m 8 dm into decimeters.

Solution:

9 m 8 dm = 9 m + 8 dm

We know that 1 m = 10 dm

9 m + 8 dm = 9 × 10 dm + 8 dm                       

                  = 90 dm + 8 dm

                  = 98 dm


Questions and Answers on Bigger Units to Smaller Units:

I. Convert the given lengths from cm to mm:

(i) 6 cm = ………….. mm

(ii) 35 cm = ………….. mm

(iii) 12 cm = ………….. mm

(iv) 62 cm = ………….. mm

(v) 20 cm = ………….. mm

(vi) 102 cm = ………….. mm

(vii) 23 cm = ………….. mm

(viii) 150 cm = ………….. mm

Bigger Units to Smaller Units

Answers:

I. (i) 60 mm

(ii) 350 mm

(iii) 120 mm

(iv) 620 mm

(v) 200 mm

(vi) 1020 mm

(vii) 230 mm

(viii) 1500 mm





4th Grade Math Activities

From Bigger Units to Smaller Units to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More

  4. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Apr 03, 25 10:22 AM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  5. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More