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
Measurement of Length:
Conversion of Standard Unit of Length
Addition and Subtraction of Measuring Length
Addition and Subtraction of Measuring Mass
Addition and Subtraction of Measuring Capacity
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