This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
462000
Here are the solutions for question 4, using properties:
a) Step 1: Identify the common factor. Step 2: Apply the distributive property . Step 3: Perform the addition. Step 4: Perform the multiplication. The value is .
b) Step 1: Perform the first multiplication. Step 2: Perform the second multiplication. Step 3: Perform the addition. The value is .
c) Step 1: Identify the common factor. The common factor is . Step 2: Apply the distributive property . Step 3: Perform the subtraction. Step 4: Perform the multiplication. The value is .
d) Step 1: Identify the common factor. Step 2: Apply the distributive property . Step 3: Perform the addition. Step 4: Perform the multiplication. The value is .
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a) Step 1: Identify the common factor. 462 × 999 + 462 = 462 × 999 + 462 × 1 Step 2: Apply the distributive property a × b + a × c = a × (b+c).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.