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NCERT Solutions for Class 5th Maths Chapter 8 Grams into milligrams — Let Us Find

Book page 108 Updated on2026-09-19

Q1.
If a sugar sachet weighs 5 g, how much will it be in milligrams?
Answer

5 g = 5,000 mg.

  1. Recall the rule. 1 g = 1,000 mg.
  2. Multiply the number of grams by 1,000. 5 × 1,000 = 5,000.
  3. Write the unit. 5,000 mg.
1 g = 1,000 mg
5 g = 5 × 1,000 = 5,000 mg
Why it happens: Changing g to mg is exactly like changing kg to g. You are going from a bigger unit to a smaller unit, so you need more of them — a thousand times more. Bigger unit to smaller unit: multiply.
Did you know? The small sugar sachet you get with tea at a stall really is about 5 g. That is 5,000 tiny milligrams in one little paper packet.
Q2.
Complete the double number line below appropriately.
1000 mg_____ mg12,000 mg20,000 mg_____ mg31,000 mg1 g5 g12 g_____ g25 g_____ g
The double number line printed on page 108. The top line is in milligrams, the bottom line in grams.
Answer

Here is the completed double number line.

1,000 mg5,000 mg12,000 mg 20,000 mg25,000 mg31,000 mg 1 g5 g12 g 20 g25 g31 g milligrams on top, the same weight in grams below g → mg: × 1,000     mg → g: ÷ 1,000
Six pairs. Each pair is the same weight said in two ways.
Top line (mg): 1,000; 5,000; 12,000; 20,000; 25,000; 31,000
Bottom line (g): 1; 5; 12; 20; 25; 31
  1. Blank above 5 g: 5 × 1,000 = 5,000 mg.
  2. Blank below 20,000 mg: 20,000 ÷ 1,000 = 20 g.
  3. Blank above 25 g: 25 × 1,000 = 25,000 mg.
  4. Blank below 31,000 mg: 31,000 ÷ 1,000 = 31 g.
Check it yourself: Cover the last three zeros of any mg number with your thumb. What is left is the gram number. 25,000 mg → 25 g ✓
Q3.
An ornament weighs 4 g 100 mg. What will be the weight in milligrams?
Answer

4 g 100 mg = 4,100 mg.

  1. Change the gram part. 4 g = 4 × 1,000 = 4,000 mg.
  2. Keep the mg part. 100 mg.
  3. Add. 4,000 mg + 100 mg = 4,100 mg.
4 g = 4,000 mg
4 g 100 mg = 4,000 + 100 = 4,100 mg
Why it looks familiar: This is the very same job as changing 4 kg 100 g into 4,100 g. Only the names of the units changed. The method never changes — multiply the bigger unit by 1,000 and add the smaller unit.
Q4.
A goldsmith has made an ornament weighing 10 g 500 mg. What will its weight be in milligrams?
Answer

10 g 500 mg = 10,500 mg.

  1. Change the gram part. 10 g = 10 × 1,000 = 10,000 mg.
  2. Keep the mg part. 500 mg.
  3. Add. 10,000 mg + 500 mg = 10,500 mg.
10 g = 10,000 mg
10 g 500 mg = 10,000 + 500 = 10,500 mg
Check it yourself: Split 10,500 back. The last three digits are 500 → that is the mg part. What is left is 10 → that is the gram part. 10 g 500 mg ✓
Did you know? Goldsmiths weigh in very small units because gold is costly. A mistake of even 100 mg — one tenth of a gram — can change the price of the ornament.
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