Conversion of Measuring Mass

In conversion of measuring mass we will learn how to convert kilograms into grams, grams into kilograms, kilograms & grams into grams and grams into kilograms & grams.

Conversion of kilograms into grams:

To convert kilograms into grams, multiply the number of kilograms by 1000.

1 kg = 1 × 1000 g = 1000 g

2 kg = 2 × 1000 g = 2000 g

5 kg = 5 × 1000 g = 5000 g

13 kg = 13 × 1000 g = 13000 g

 

Conversion of grams into kilograms: 

To convert grams into kilograms, divide the number of grams by 1000 or put a dot (.) after 3 digits from the right.

(i) 1000 g = 1000 ÷ 1000 = 1 kg

(ii) 2000 g = 2000 ÷ 1000 = 2 kg

(iii) 3000 g = 3000 ÷ 1000 = 3 kg

(iv) 7000 g = 7000 ÷ 1000 = 7 kg

(v) 10000 g = 10000 ÷ 1000 = 10 kg

1000 g = 1.000 kg

2000 g = 2.000 kg

3000 g = 3.000 kg

7000 g = 7.000 kg

10000 g = 10.000 kg

Conversion of kilograms and grams into grams:

To convert kilograms and grams into grams, multiply the number of kilograms by 1000 and add it to the number of grams.

(i) 1 kg 300 g = 1 × 1000 g + 300 g     

                     = 1000 g + 300 g     

                     = 1300 g


(ii) 3 kg 500 g = 3 × 1000 g + 500 g     

                     = 3000 g + 500 g     

                     = 3500 g

 

(iii) 7 kg 569 g = 7 × 1000 g + 569 g     

                      = 7000 g + 569 g     

                      = 7569 g

 

(iv) 9 kg 21 g = 9 × 1000 g + 21 g     

                     = 9000 g + 21 g     

                     = 9021 g

 

(v) 15 kg 2 g = 15 × 1000 g + 2 g     

                    = 15000 g + 2 g     

                    = 15002 g


Conversion of grams into kilograms and grams:

To convert grams into kilograms and grams, divide the number of grams by 1000, the quotient represents kilograms and the remainder represents gram.

(i) 2600 g = 2600 ÷ 1000 = 2 kg 600 g

(ii) 5430 g = 5430 ÷ 1000 = 5 kg 430 g

(iii) 7601 g = 7601 ÷ 1000 = 7 kg 601 g

(iv) 8025 g = 8025 ÷ 1000 = 8 kg 25 g

(v) 15426 g = 15426 ÷ 1000 = 15 kg 426 g


Solved Examples on Conversion of Measuring Mass (Weight):

I. Convert grams into kilograms. 

1. 5000 g into kg

Solution:

We know that,

1 g = \(\frac{1}{1000}\) kg

Therefore, 5000 g = \(\frac{1}{1000}\) × 5000 kg

                           = \(\frac{5000}{1000}\) kg

                           = 5 kg

Answer: 5000 g = 5 kg.


II. Convert kilograms grams into grams

1. 34 kg 108 g into g.

Solution:

   34 kg 108 g

= 34 kg + 108 g

= (34 × 1000) g + 108 g; [Since, 1 kg = 1000 g]

= 34000 g + 108 g 

= 34108 g

Answer: 34 kg 108 g = 34108 g.


III. Convert grams into kilograms and grams

1. 5897 g into kg and g.

Solution:

    5897 g

= 5000 g + 897 g

= 5 kg + 897 g; [Since, 1000 g = 1 kg]

= 5 kg 897 g

Answer: 5897 g = 5 kg 897 g.


Worksheet on Conversion of Measuring Mass

I. Convert kilograms into grams:

(i) 7 kg

(ii) 3 kg 400 g

(iii) 2 kg

(iv) 8 kg 375 g

(v) 5 kg 230 g

(vi) 7 kg 642 g

(vii) 9 kg 225 g

(viii) 4 kg 100 g


Answer:

I. (i) 7000 g

(ii) 3400 g

(iii) 2000 g

(iv) 8375 g

(v) 5230 g

(vi) 7642 g

(vii) 9225 g

(viii) 4100 g


II. Convert grams into kilograms and grams:

(i) 7777 g

(ii) 6934 g

(iii) 3476 g

(iv) 4850 g

(v) 1056 g

(vi) 2900 g


Answer:

II. (i) 7 kg 777 g

(ii) 6 kg 934 g

(iii) 3 kg 476 g

(iv) 4 kg 850 g

(v) 1 kg 56 g

(vi) 2 kg 900 g

You might like these

Measurement of Length:

Standard Unit of Length 

Conversion of Standard Unit of Length

Addition of Length

Subtraction of Length

Addition and Subtraction of Measuring Length

Addition and Subtraction of Measuring Mass

Addition and Subtraction of Measuring Capacity






3rd Grade Math Worksheets

3rd Grade Math Lessons

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