Express the following masses in decigrams:
i) 250 g
Answer (2)
Convert 250 g to decigrams: 250 g = 250 × 10 dg = 2500 dg .
Convert 85 tonnes to decigrams: 85 tonnes = 85 × 1 0 6 g = 85 × 1 0 6 × 10 dg = 850 , 000 , 000 dg .
250 g is equal to 2500 dg.
85 tonnes is equal to 850 , 000 , 000 dg.
Explanation
Understanding the Problem We need to convert the given masses into decigrams (dg). We know that 1 gram (g) is equal to 10 decigrams (dg). Also, 1 tonne is equal to 1000 kilograms (kg), and 1 kg is equal to 1000 grams (g).
Converting 250 g to decigrams First, let's convert 250 g to decigrams. Since 1 g = 10 dg, we have: 250 g = 250 × 10 dg = 2500 dg So, 250 g is equal to 2500 dg.
Converting 85 tonnes to decigrams Next, let's convert 85 tonnes to decigrams. We know that 1 tonne = 1000 kg and 1 kg = 1000 g, so 1 tonne = 1000 * 1000 g = 1,000,000 g. Since 1 g = 10 dg, we have 1 tonne = 1,000,000 * 10 dg = 10,000,000 dg. Therefore: 85 tonnes = 85 × 10 , 000 , 000 dg = 850 , 000 , 000 dg So, 85 tonnes is equal to 850,000,000 dg.
Final Answer Therefore, 250 g is equal to 2500 dg and 85 tonnes is equal to 850,000,000 dg.
Examples
Imagine you're a pharmacist who needs to measure precise amounts of medication. Converting between grams, tonnes, and decigrams is essential for accurately dispensing drugs and ensuring patient safety. Similarly, in manufacturing, converting units of mass is crucial for quality control and ensuring products meet specifications. Understanding these conversions helps in various fields where precise measurements are necessary.
250 grams is equal to 2500 decigrams. This conversion is based on the fact that 1 gram is equal to 10 decigrams, leading to the calculation of 250 g multiplied by 10. Thus, 250 g converts to 2500 dg.
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