Question
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  1. Use Structure warehouse has 9 crates
    Each crate has 20 boxes of cereal. How
    many boxes of cereal does the warehous
    have? Explain how to use properties to
    solve the problem.

Ask by Wheeler Coles. in the United States
Jan 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The warehouse has 180 boxes of cereal.

Solution

To solve the problem of how many boxes of cereal the warehouse has, we can follow these steps:
  1. Identify the known quantities:
    • The number of crates in the warehouse:
    • The number of boxes of cereal in each crate:
  2. Determine the total number of boxes of cereal:
    • To find the total number of boxes of cereal in the warehouse, we need to multiply the number of crates by the number of boxes in each crate. This can be expressed mathematically as:
    where is the total number of boxes of cereal.
  3. Substitute the known values into the equation:
  4. Perform the multiplication:
    • Calculate :
  5. Conclusion:
    • The total number of boxes of cereal in the warehouse is .

Explanation of Properties Used:

  • Multiplication Property: This property states that when you multiply two numbers, the result is the same regardless of the order of the numbers (commutative property). In this case, it doesn’t matter if we think of it as or ; the result will be the same.
  • Associative Property: If we had more factors, we could group them in any way to simplify calculations. For example, if we had , we could first calculate and then multiply by .
Thus, the warehouse has a total of boxes of cereal.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

To find the total number of boxes of cereal in the warehouse, simply multiply the number of crates by the number of boxes in each crate. So, you’d calculate . This showcases the distributive property, which allows you to break down the multiplication into smaller, more manageable parts for easier calculation.
A common mistake in this type of problem is miscounting the number of boxes per crate or the number of crates. Always double-check your initial values before proceeding with the multiplication. It’s also helpful to visualize or sketch out the scenario to ensure clarity on the quantities involved, ensuring that you don’t skip steps or misunderstand the problem’s structure.

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