Help me A box of cereal weighs 600 grams. How much is this weight in pounds? Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds) The box of cereal weighs Question Blank type your answer… pounds.
The Correct Answer and Explanation is:
The box of cereal weighs approximately 1.32 pounds.
Explanation:
To convert grams to pounds, you need to know the relationship between grams and kilograms, and then convert kilograms to pounds. We are given the conversion factor:
1 kilogram = 2.2 pounds
We are also told that the box of cereal weighs 600 grams. First, we convert grams to kilograms, since the given conversion is based on kilograms.
There are 1,000 grams in 1 kilogram. So:600 grams=6001000=0.6 kilograms600 \text{ grams} = \frac{600}{1000} = 0.6 \text{ kilograms}600 grams=1000600=0.6 kilograms
Now, we convert 0.6 kilograms into pounds using the given conversion:0.6 kilograms×2.2 pounds per kilogram=1.32 pounds0.6 \text{ kilograms} \times 2.2 \text{ pounds per kilogram} = 1.32 \text{ pounds}0.6 kilograms×2.2 pounds per kilogram=1.32 pounds
So, the box of cereal weighs 1.32 pounds.
Why this method works:
Converting between units is a common task in math and science. The key is to use the correct conversion factors and apply them step by step. In this case, the weight was given in grams. Since grams are smaller units than kilograms, we needed to divide by 1,000 to find the equivalent weight in kilograms. Once we had the weight in kilograms, we used the known conversion of 1 kilogram equals 2.2 pounds to find the weight in pounds.
This method ensures accuracy and is based on known scientific standards. It also helps students understand the importance of unit relationships and the need to break down a problem into manageable parts. When students use a logical, step-by-step approach like this, they can confidently solve similar problems in the future involving different measurements or units.
