EN हिं

NCERT Solutions for Class 5th Maths Chapter 8 Shamim and Rehan argue about 5 kg 50 g of sugar — Let Us Find

Book page 106 Updated on2026-09-19

Q1.
Shamim and Rehan observed someone buying sugar weighing 5 kg 50 g. They thought of the quantity in grams. How much is it? One says 5,050 g and the other says “No, it is 5,500 g”. Who do you think is right and why?
Answer

The one who said 5,050 g is right. 5 kg 50 g = 5,050 g. The answer 5,500 g is wrong.

  1. Change the kg part. 5 kg = 5 × 1,000 = 5,000 g.
  2. The g part is 50 g — only fifty grams, about the weight of an egg.
  3. Add. 5,000 g + 50 g = 5,050 g.
5 kg 50 g = 5,000 g + 50 g = 5,050 g

The wrong answer 5,500 g would mean 5,000 g + 500 g = 5 kg 500 g
But the sugar is 5 kg 50 g, not 5 kg 500 g
Why the mistake happened: The gram part must always fill three places. Fifty is written as 0 5 0, not as 5 0 0. Whoever answered 5,500 g wrote 50 in the wrong place — one column too far to the left — and made the sugar ten times heavier than it really is.
Try this to be safe: Draw three boxes for the grams before you write. 5 kg 50 g → 5 | 0 5 0 → 5,050 g. 5 kg 500 g → 5 | 5 0 0 → 5,500 g. The boxes stop the mistake.
Q2.
Complete the conversions by filling in the blanks. You can use the double number line given below on which some numbers have been marked.
1 kg3 kg___ kg7 kg8 kg___ kg___ kg___ kg___ g___ kg___ g1,000 g____ g4,000 g____ g____ g10,000 g12,000 g____ g____ g
The double number line printed on page 106. Some numbers are already marked; fill in the rest.
Answer

Here is the completed double number line.

1 kg3 kg4 kg 7 kg8 kg 10 kg12 kg 1,000 g3,000 g4,000 g 7,000 g8,000 g 10,000 g12,000 g kilograms on top, the same weight in grams below down = × 1,000     up = ÷ 1,000
The seven marked pairs. Read straight down or straight up.
Top line (kg): 1, 3, 4, 7, 8, 10, 12
Bottom line (g): 1,000; 3,000; 4,000; 7,000; 8,000; 10,000; 12,000
  1. Blank above 4,000 g: 4,000 ÷ 1,000 = 4 kg.
  2. Blank above 10,000 g: 10,000 ÷ 1,000 = 10 kg.
  3. Blank above 12,000 g: 12,000 ÷ 1,000 = 12 kg.
  4. Blanks under 3 kg, 7 kg, 8 kg: 3,000 g, 7,000 g, 8,000 g.

The last two pairs on the line are left completely blank — the book wants you to choose them. They must be bigger than 12 kg, and each one has a kg box, a g box and a gram box below. A good choice is:

15 kg 500 g  ↔  15,500 g
18 kg 250 g  ↔  18,250 g
Try this: Use the blank ends to mark your own school bag's weight in both units. Weigh it, write the kg-and-g form on top and the gram form below.
Q3.
Complete the conversions by filling in the blanks. (a) 7 kg 67 g = ______ g (b) 3 kg 300 g = ______ g (c) 8 kg 69 g = ______ g
Answer

(a) 7,067 g   (b) 3,300 g   (c) 8,069 g

All three go the same way: kilograms into grams. Use the three-box trick — the gram part always fills three places.

PartKilogram partGram part in 3 boxesAnswer
(a) 7 kg 67 g7 × 1,000 = 7,000 g0 6 77,067 g
(b) 3 kg 300 g3 × 1,000 = 3,000 g3 0 03,300 g
(c) 8 kg 69 g8 × 1,000 = 8,000 g0 6 98,069 g
(a) 7,000 g + 67 g = 7,067 g
(b) 3,000 g + 300 g = 3,300 g
(c) 8,000 g + 69 g = 8,069 g
Why the zero matters: In (a) the grams are 67, not 670. If you wrote 7,670 g you would have made the parcel more than half a kilogram heavier. The 0 in front of 67 holds the empty hundreds place, just as it does in money — ₹7 and 67 paise is ₹7.67, not ₹7.670.
Q4.
Complete the conversions by filling in the blanks. (d) 10,760 g = _____ kg ____ g (e) 4,080 g = _____ kg ____ g (f) 12,042 g = _____ kg ____ g
Answer

(d) 10 kg 760 g   (e) 4 kg 80 g   (f) 12 kg 42 g

This time we go the other way — grams into kilograms and grams. There is an easy way to see it.

  1. Count three digits from the right and put your finger there.
  2. Everything to the right of your finger is the grams.
  3. Everything to the left of your finger is the kilograms.
PartSplit itAnswer
(d) 10,760 g10 | 760 → 10,000 g + 760 g10 kg 760 g
(e) 4,080 g4 | 080 → 4,000 g + 80 g4 kg 80 g
(f) 12,042 g12 | 042 → 12,000 g + 42 g12 kg 42 g
Why it happens: Every 1,000 grams makes one full kilogram. So the question is really how many full thousands are hiding inside this number, and what is left over? In 4,080 there are 4 full thousands and 80 left over — that is 4 kg and 80 g.
Check it yourself: Turn each answer back. 4 kg 80 g = 4,000 + 80 = 4,080 g ✓   12 kg 42 g = 12,000 + 42 = 12,042 g ✓
Was this helpful?