High School

Fill in the blanks:

(a) 1 kg 600 g = 1000 g + 600 g = 1600 g

(b) 3 kg 430 g = 3000 g + 430 g = 3430 g

(c) 8505 g = 8000 g + 505 g = 8 kg 505 g

(d) 4022 g = 4000 g + 22 g = 4 kg 22 g

Write each child's mass in grams:

(a) My mass is 5 kg 30 g.
5 kg 30 g = 5000 g + 30 g = 5030 g

(b) My mass is 9 kg 101 g.
9 kg 101 g = 9000 g + 101 g = 9101 g

Answer :

To solve these problems, we need to convert kilograms and grams into just grams and vice versa. This involves basic math operations and understanding units of measurement.

Let's go through each part step-by-step:

(a) Calculating Mass in Grams:

  • The mass given is 5 kg 30 g.
  • First, convert the kilograms to grams. Since 1 kg = 1000 g, we have:
    [tex]5 \text{ kg} = 5 \times 1000 \text{ g} = 5000 \text{ g}[/tex]
  • Add the remaining grams:
    [tex]5000 \text{ g} + 30 \text{ g} = 5030 \text{ g}[/tex]
  • Therefore, the mass is 5030 grams.

(b) Calculating Mass in Grams:

  • The mass given is 9 kg 101 g.
  • Convert the kilograms to grams:
    [tex]9 \text{ kg} = 9 \times 1000 \text{ g} = 9000 \text{ g}[/tex]
  • Add the remaining grams:
    [tex]9000 \text{ g} + 101 \text{ g} = 9101 \text{ g}[/tex]
  • Therefore, the mass is 9101 grams.

These conversions help you understand the relationship between kilograms and grams and how to switch between them, which is a valuable skill in measuring and calculating weights.