Question

\( 250-25 \times 4+100 \)

Ask by Martin Peters. in South Africa
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The result of the expression \( 250 - 25 \times 4 + 100 \) is 250.

Solution

Let's evaluate the expression step by step: \[ 250 - 25 \times 4 + 100 \] **Step 1: Perform the multiplication first (according to the order of operations, PEMDAS/BODMAS).** \[ 25 \times 4 = 100 \] **Step 2: Substitute the result back into the expression.** \[ 250 - 100 + 100 \] **Step 3: Perform the subtraction and addition from left to right.** \[ 250 - 100 = 150 \\ 150 + 100 = 250 \] **Final Answer:** \[ 250 \]

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The Deep Dive

Let's break it down step by step using the order of operations (PEMDAS/BODMAS)! First, you multiply: \( 25 \times 4 = 100 \). Then, substitute this back into the expression: \( 250 - 100 + 100 \). Next, subtract: \( 250 - 100 = 150 \). Finally, add: \( 150 + 100 = 250 \). So, the final answer is \( 250 \). Fun math fact: this expression showcases how following the order of operations is essential—change the order and you could end up with a totally different result!

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