Smaller Units to Bigger Units

To convert a smaller unit into a bigger unit, we move the decimal point to the left. In other words, we can say that we divide.

This is very important for us to learn how to convert smaller units into bigger 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

Converting Smaller Units of Length into Bigger Units of Length:

For Example:

1. Convert 80 mm into cm.

Solution:

We know that 10 mm = 1 cm

                        80 mm = \(\frac{80}{10}\) cm

                                   = 8 cm


2. Convert 485 mm into cm.

Solution:

485 mm = 480 mm + 5 mm

We know that 10 mm = 1 cm

480 mm + 5 mm = \(\frac{480}{10}\) cm + 5 mm

                          = 48 cm 5 mm


3. Convert 15000 m into km.

Solution:

We know that 1000 m = 1 km

So, 15000 m = \(\frac{15000}{1000}\) km

                    = 15 km


3. Convert 577 centimetres to decametres

1000 cm = 1 dam

577 cm = (577 ÷ 1000) dam

577 cm = 0.577 dam


Converting Smaller Units of Mass into Bigger Units of Mass:

To convert lower units of mass to higher units, we multiply by 1000. A quick way to convert is to write three digits from right as lower unit and the remaining as higher unit.

For example:

1. Convert 14000 mg into g.

We know that 1000 mg = 1 g

So, 14000 mg = \(\frac{14000}{1000}\) g

                     = 14 g 


2. Express 3180 g as kg.

3180 g = 3000 g + 180 g

           = \(\frac{3000}{1000}\) kg + 180 g

           = 3 kg 180 g


3. Convert 7000 grams to kilograms.

1000 g = 1 kg

7000 g = (7000 ÷ 1000) kg

7000 g = 7 kg


4. Convert 225 kilograms to quintals

100 kg = 1 quintal

225 kg = (225 ÷ 100) quintals

225 kg = 2.25 quintals


5. Convert 36 quintals to tonnes

10 quintals = 1 tonne

36 quintals = (36 ÷ 10) tonnes

36 quintals = 3.6 tonnes


6. Convert 415 kilograms to tonnes

1000 kg = 1 tonne

415 kg = (415 ÷ 1000) tonnes

415 kg = 0.415 tonnes


Converting Smaller Units Capacity into Bigger Units Capacity:

To convert milliliters into liters, we divide the number of milliliters (ml) by 1000. A quick way to convert ml into l is to write three digits from right as ml and the remaining as l.

For example:

1. Convert 76489 ml into l.

76489 ml = 76000 ml + 489 ml

                  = \(\frac{76000}{1000}\) + + 489 ml

                  = 76 l 489 ml


2. Convert 375 litres to kilolitres.

1000 l = 1 kl

375 l = (375 ÷ 1000) kl

375 l = 0.375 kl


Alternate Method:

Conversion of Lower Units to Higher Units:

When a lowers unit is changed into a higher unit we divide the number of the lowers unit by the number showing the relationship between the two units.

For example:

1. 5728 g = 5000 g 728 g

5728 g = 5 kg 728 g

5728 g = 5.728 g

Unit Conversion

Also 5728 g = 5000 g + 700 g + 20 g + 8 g

                  = 5 kg 7 hg 2 dag 8 g


2. 328 cm = 300 cm + 28 cm

328 cm = 3 m 28 cm

328 cm = 3.28 m

Unit Conversion Table

Also 328 cm = 300 cm + 20 cm + 8 cm

                  = 3 m 2 dm 8 cm


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

1. Convert 9362.8 grams into the following units.

(i) Decagrams

(ii) hectograms

(iii) kilograms


Solution:

Because 1 dag = 10 g

So, 1 g = \(\frac{1}{10}\) dag

So, 9362.8 g = \(\frac{9362.8}{10}\) = (9362.8 ÷ 10) dag = 936.28 dag

Thus,

(i) 9362.8 g = = (9362.8 ÷ 10) dag = 936.28 dag

(ii) 9362.8 g = = (9362.8 ÷ 100) hg = 93.628 hg, (Because 1 g = \(\frac{1}{100}\) hg)

(ii) 9362.8 g = = (9362.8 ÷ 1000) kg = 9.3628 kg, (Because 1 g = \(\frac{1}{1000}\) kg)


2. Convert 2345 millimetres into the following units.

(i) centimetres

(ii) metres

(iii) kilometres


Solution:

(i) 2345 millimetres = (2345 ÷ 10) = 234.5 centimetres, [Because 1 mm = \(\frac{1}{10}\) cm]

(ii) 2345 millimetres = (2345 ÷ 1000) = 2.345 metres, [Because 1 mm = \(\frac{1}{1000}\) m]

(iii) 2345 millimetres = (2345 ÷ 1000000) = 0.002345 kilometres, [Because 1 mm = \(\frac{1}{1000000}\) km]


Let us consider another example involving different types of conversions.

3. Convert the following:

(i) 3598 mm to m

(ii) 4683254 mg to dg

(iii) 5923 ml to cl


Solution:

(i) 3598 mm

= (3598 ÷ 1000) m, [Because 1 mm = \(\frac{1}{1000}\) m]

= 3.598 m

 

(ii) 4683254 mg

= (4683254 ÷ 100) dg, [Because 1 mg = \(\frac{1}{100}\) dg]

= 46832.54 dg

 

(iii) 5923 ml

= (5923 ÷ 10) cl, [Because 1 ml = \(\frac{1}{10}\) cl]

= 592.3 cl


4. Convert 12500 m into km.

Solution:

We know that 1000 m = 1 km

12500 m = 12000 m + 500 m

              = \(\frac{12000}{1000}\) km + 500 m

              = 12 km 500 m

Smaller Units to Bigger Units

Questions and Answers on Smaller Units to Bigger Units:

I. Convert the given lengths:

(i) 40 mm = ………….. cm

(ii) 540 cm = ………….. m ………….. cm

(iii) 160 mm = ………….. cm

(iv) 1250 m = ………….. km ………….. m

(v) 10500 cm = ………….. m

(vi) 3500 cm = ………….. m ………….. cm

(vii) 612 cm = ………….. m ………….. cm

(viii) 41752 m = ………….. km ………….. m

 

Answers:

I. (i) 4 cm

(ii) 5 m 40 cm

(iii) 16 cm

(iv) 1 km 250 m

(v) 105 m

(vi) 35 m 0 cm

(vii) 6 m 12 cm

(viii) 41 km 752 m





4th Grade Math Activities

From Smaller Units to Bigger Units to HOME PAGE


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.



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.



Share this page: What’s this?

Recent Articles

  1. Method of H.C.F. |Highest Common Factor|Factorization &Division Method

    Apr 13, 24 05:12 PM

    HCF by Short Division Method
    We will discuss here about the method of h.c.f. (highest common factor). The highest common factor or HCF of two or more numbers is the greatest number which divides exactly the given numbers. Let us…

    Read More

  2. Factors | Understand the Factors of the Product | Concept of Factors

    Apr 13, 24 03:29 PM

    Factors
    Factors of a number are discussed here so that students can understand the factors of the product. What are factors? (i) If a dividend, when divided by a divisor, is divided completely

    Read More

  3. Methods of Prime Factorization | Division Method | Factor Tree Method

    Apr 13, 24 01:27 PM

    Factor Tree Method
    In prime factorization, we factorise the numbers into prime numbers, called prime factors. There are two methods of prime factorization: 1. Division Method 2. Factor Tree Method

    Read More

  4. Divisibility Rules | Divisibility Test|Divisibility Rules From 2 to 18

    Apr 13, 24 12:41 PM

    Divisibility Rules
    To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4…

    Read More

  5. Even and Odd Numbers Between 1 and 100 | Even and Odd Numbers|Examples

    Apr 12, 24 04:22 PM

    even and odd numbers
    All the even and odd numbers between 1 and 100 are discussed here. What are the even numbers from 1 to 100? The even numbers from 1 to 100 are:

    Read More