Notice the relationship between kg and g. Fill in the blanks: 1 kg, 3 kg, 8 kg, __ kg, 20 kg, __ kg, 30 kg (multiplied by 1000) = 1,000 g, __ g, __ g, 15,000 g, __ g, 25,000 g, __ g
Kilograms: 1 kg, 3 kg, 8 kg, 15 kg, 20 kg, 25 kg, 30 kg. Grams: 1,000 g, 3,000 g, 8,000 g, 15,000 g, 20,000 g, 25,000 g, 30,000 g
Explanation
The chapter shows a double number line to help understand the relationship between kg and g. Since 1 kg = 1,000 g, each kg value is multiplied by 1,000 to get the equivalent in grams. The missing values are: 15 kg (from 15,000 g), and the corresponding gram values are 3,000 g, 8,000 g, 20,000 g, 30,000 g.
Solution Steps
Step 1: Use the conversion 1 kg = 1,000 g
Step 2: For kg to g: multiply by 1,000
Step 3: For g to kg: divide by 1,000
Step 4: 15,000 g ÷ 1,000 = 15 kg
Step 5: 3 kg × 1,000 = 3,000 g; 8 kg × 1,000 = 8,000 g; 20 kg × 1,000 = 20,000 g; 30 kg × 1,000 = 30,000 g