How much do the objects weigh on these scales which have a maximum reading of 10 kg?

Here are the answers to the questions:

3. How much do the objects weigh on these scales which have a maximum reading of 10 kg?
Each major division on the scale represents 1 kg. There are 10 smaller divisions between each kilogram mark, so each small division represents 0.1 kg or 100 g.

• a. The pointer is at the $5^{\text{th}}$ small mark after 2 kg. $$2 \text{ kg} + (5 \times 0.1 \text{ kg}) = 2 \text{ kg} + 0.5 \text{ kg} = \boxed{2.5 \text{ kg}}$$
• b. The pointer is at the $8^{\text{th}}$ small mark after 0 kg. $$0 \text{ kg} + (8 \times 0.1 \text{ kg}) = 0 \text{ kg} + 0.8 \text{ kg} = \boxed{0.8 \text{ kg}}$$
• c. The pointer is at the $2^{\text{nd}}$ small mark after 4 kg. $$4 \text{ kg} + (2 \times 0.1 \text{ kg}) = 4 \text{ kg} + 0.2 \text{ kg} = \boxed{4.2 \text{ kg}}$$
• d. The pointer is at the $7^{\text{th}}$ small mark after 6 kg. $$6 \text{ kg} + (7 \times 0.1 \text{ kg}) = 6 \text{ kg} + 0.7 \text{ kg} = \boxed{6.7 \text{ kg}}$$

4. Calculate the total mass of all the objects in Question 3.
To find the total mass, we add the individual masses from question 3:

$$2.5 \text{ kg} + 0.8 \text{ kg} + 4.2 \text{ kg} + 6.7 \text{ kg}$$ $$3.3 \text{ kg} + 4.2 \text{ kg} + 6.7 \text{ kg}$$ $$7.5 \text{ kg} + 6.7 \text{ kg}$$ $$= \boxed{14.2 \text{ kg}}$$

8. Draw the pointer on this scale which has a maximum reading of 10 kg for the following.
For these, you would draw the pointer on the scale:

• 2 kg: Draw the pointer pointing directly to the 2 kg mark.
• 3 kg 500 g: This is 3.5 kg. Draw the pointer pointing to the $5^{\text{th}}$ small mark after the 3 kg mark.
• 4 kg 750 g: This is 4.75 kg. Since each small mark represents 0.1 kg (100 g), 4.75 kg is exactly halfway between 4.7 kg and 4.8 kg. Draw the pointer pointing exactly halfway between the $7^{\text{th}}$ and $8^{\text{th}}$ small mark after the 4 kg mark.