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

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