Gabrielle has 9 bags of sugar. Each bag weighs 1/2 kilogram. What is the total mass of the bags?
Understand the Problem
The question is asking for the total mass of 9 bags of sugar, where each bag weighs 1/2 kilogram. To solve it, we will multiply the number of bags by the weight of each bag.
Answer
The total mass of the bags is \( 4.5 \) kilograms.
Answer for screen readers
The total mass of the bags is ( 4.5 ) kilograms.
Steps to Solve
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Identify the variables We know that the number of bags is 9 and the weight of each bag is ( \frac{1}{2} ) kilogram.
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Set up the multiplication To find the total mass, we will multiply the number of bags by the weight of each bag: $$ \text{Total Mass} = \text{Number of Bags} \times \text{Weight of Each Bag} $$
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Perform the calculation Substituting in the values: $$ \text{Total Mass} = 9 \times \frac{1}{2} $$
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Calculate the product To calculate ( 9 \times \frac{1}{2} ): $$ \text{Total Mass} = \frac{9}{2} = 4.5 \text{ kilograms} $$
The total mass of the bags is ( 4.5 ) kilograms.
More Information
The calculation shows that when you multiply a whole number by a fraction, you can convert the result to a decimal for easier understanding. In this case, ( \frac{9}{2} ) is equal to ( 4.5 ).
Tips
- Missing to convert the fraction to a decimal after multiplication.
- Incorrectly adding instead of multiplying the number of bags and weight per bag.
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