Fill in the blanks to solve 2000 x 9. 2000 x 9 = 1000 x 2 x 9. 2000 x 9 = 1000 x __. 2000 x 9 = __.
Understand the Problem
The question is asking to fill in the blanks in a series of equations involving the multiplication of 2000 by 9. Specifically, it is seeking to express this multiplication in different ways and to understand how the multiplication can be broken down.
Answer
$18000$
Answer for screen readers
The result of multiplying $2000$ by $9$ is $18000$.
Steps to Solve
- Recognizing the multiplication problem
We need to calculate $2000 \times 9$. This can be done simply by multiplying the values directly.
- Performing the multiplication
Let's do the multiplication step:
$$ 2000 \times 9 = 18000 $$
- Expressing in other ways
We can express the multiplication using the distributive property. For example, we can break down $2000$ as $2000 = 2000 \times 1$ and apply the distributive property:
$$ 2000 \times 9 = (2000 \times 5) + (2000 \times 4) $$
Calculating each part:
- $2000 \times 5 = 10000$
- $2000 \times 4 = 8000$
Now combine the results:
$$ 10000 + 8000 = 18000 $$
- Using place value
You can also express $2000$ as the sum of its digits with place values:
$$ 2000 = 2 \times 1000 $$
Therefore:
$$ 2000 \times 9 = 2 \times 1000 \times 9 = 2 \times 9000 = 18000 $$
- Final confirmation
Check the value to ensure correctness:
The value we calculated consistently yields $18000$, confirming our understanding and calculations were correct.
The result of multiplying $2000$ by $9$ is $18000$.
More Information
The multiplication $2000 \times 9$ results in $18000$, which reflects a simple application of the multiplication operation. This problem can also serve as a basis for understanding the distributive property in algebra.
Tips
- Confusing the values during multiplication, resulting in incorrect calculations.
- Forgetting to distribute correctly when using the distributive property.
- Not double-checking their work, which can lead to mistakes in the final answer.
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