Complete the steps to find 253 x 34.
Understand the Problem
The question is asking to complete the steps to calculate 253 multiplied by 34. It shows part of the solution process, needing to fill in missing multiplication steps and sums.
Answer
The answer is $8602$.
Answer for screen readers
The final answer is: $$ 253 \times 34 = 8602 $$
Steps to Solve
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Break Down the Multiplication We will use the distributive property to break down $34$ into $30$ and $4$. Thus, we have: $$ 253 \times 34 = 253 \times (30 + 4) $$
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Multiply by 30 Next, we calculate: $$ 253 \times 30 $$ To do this, we first compute: $$ 253 \times 3 = 759 $$ Now, multiply by $10$ (since $30 = 3 \times 10$): $$ 759 \times 10 = 7590 $$
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Multiply by 4 Now, we calculate: $$ 253 \times 4 $$ This can be done directly: $$ 253 \times 4 = 1012 $$
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Add the Results Together Finally, we add the two products: $$ 7590 + 1012 $$
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Perform the Addition Now, we do the addition: $$ 7590 + 1012 = 8602 $$
The final answer is: $$ 253 \times 34 = 8602 $$
More Information
The calculation demonstrates the distributive property, which helps simplify multiplication by breaking it down into smaller, manageable parts. This method can be applied to any multiplication problem, making calculations easier.
Tips
- A common mistake is forgetting to add the results of the two multiplications together.
- Another mistake is incorrectly calculating the multiplications for $30$ or $4$. Always double-check these calculations.
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