Calculate smartly $(100+3) \times 24$

Use the distributive property: ( 100 + 3 ) × 24 = ( 100 × 24 ) + ( 3 × 24 ) .
Calculate 100 × 24 = 2400 .
Calculate 3 × 24 = 72 .
Add the results: 2400 + 72 = 2472 ​ .

Explanation

Understanding the Problem We need to calculate the product of ( 100 + 3 ) and 24 . This can be done by using the distributive property of multiplication over addition.

Applying the Distributive Property Using the distributive property, we can rewrite the expression as: ( 100 + 3 ) × 24 = ( 100 × 24 ) + ( 3 × 24 ) This breaks the problem into smaller, more manageable calculations.

Calculating the Products Now, we calculate each term separately: 100 × 24 = 2400 3 × 24 = 72

Adding the Results Finally, we add the results together: 2400 + 72 = 2472

Final Answer Therefore, ( 100 + 3 ) × 24 = 2472 .


Examples
Understanding the distributive property is useful in everyday situations. For example, if you are buying 24 items that cost $100 each and 24 additional items that cost 3 e a c h , yo u c an c a l c u l a t e t h e t o t a l cos t a s (100+3) \times 24$. This is the same as calculating the cost of the $100 items ($2400) and the cost of the $3 items ($72) separately, and then adding them together to get the total cost of $2472. This principle applies in various scenarios, such as calculating bulk discounts or estimating costs in construction projects.

Answered by GinnyAnswer | 2025-07-08

Using the distributive property, we break down ( 100 + 3 ) × 24 into ( 100 × 24 ) + ( 3 × 24 ) which gives us a final answer of 2472. First, we calculate each term separately, resulting in 2400 and 72, which we then add together. Therefore, the answer is 2472.
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Answered by Anonymous | 2025-08-10