NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Fill in the BlanksQuestion 101
Class 6 - Mathematics - Unit 1: Number System - Fill in the Blanks
Question. 101
101.
(a) 1 gram = ____ milligrams.
(b) 1 litre = ____ millilitres.
(c) 1 kilogram = ____ milligrams.
Answer:
(a) 1000 mg
(b) 1000 mL
(c) 1,000,000 mg
Detailed Answer with Explanation:
(a) 1 gram = ? milligrams
- "Milli" means one-thousandth. So, \(1\text{ mg} = \dfrac{1}{1000}\text{ g}\).
- If \(1\text{ mg} = \dfrac{1}{1000}\text{ g}\), then multiplying both sides by \(1000\) gives:
- \(1000\text{ mg} = 1\text{ g}\).
- Therefore, \(1\text{ g} = 1000\text{ mg}\).
(b) 1 litre = ? millilitres
- Again, "milli" means one-thousandth. So, \(1\text{ mL} = \dfrac{1}{1000}\text{ L}\).
- Multiply both sides by \(1000\):
- \(1000\text{ mL} = 1\text{ L}\).
- Therefore, \(1\text{ L} = 1000\text{ mL}\).
(c) 1 kilogram = ? milligrams
- First change kilograms to grams: \(1\text{ kg} = 1000\text{ g}\).
- Now change grams to milligrams: \(1\text{ g} = 1000\text{ mg}\).
- So, \(1\text{ kg} = 1000\text{ g} \times 1000\text{ mg per g}\).
- \(1000 \times 1000 = 1{,}000{,}000\), so \(1\text{ kg} = 1{,}000{,}000\text{ mg}\).
- In powers of 10: \(1{,}000{,}000 = 10^6\), so \(1\text{ kg} = 10^6\text{ mg}\).