Solve: 3.5×4 + 16×2.5 Using Order of Operations

Order of Operations with Decimal Products

3.5×4+16×2.5=? 3.5\times4+16\times2.5=\text{?}

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Step-by-step video solution

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00:00 Multiplication comes before addition and subtraction

Step-by-step written solution

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1

Understand the problem

3.5×4+16×2.5=? 3.5\times4+16\times2.5=\text{?}

2

Step-by-step solution

According to the order of operations rules, we must first solve the multiplication exercises and then add them together:

(3.5×4)+(16×2.5)= (3.5\times4)+(16\times2.5)=

14+40=54 14+40=54

3

Final Answer

54 54

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always perform multiplication before addition operations
  • Technique: Calculate 3.5×4 = 14 and 16×2.5 = 40 separately first
  • Check: Final sum should be 14 + 40 = 54 ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying
    Don't solve left to right as (3.5×4+16)×2.5 = 70! This ignores order of operations and creates wrong groupings. Always complete all multiplications first, then add the products together.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why can't I just solve from left to right?

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Mathematics has order of operations rules (PEMDAS) that must be followed! Multiplication comes before addition, so you must calculate 3.5×4 3.5\times4 and 16×2.5 16\times2.5 first.

How do I multiply decimals like 3.5×4?

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Multiply as normal numbers: 35 × 4 = 140. Since 3.5 has 1 decimal place, your answer has 1 decimal place: 14.0 = 14.

What if I get confused about which operations to do first?

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Remember PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Multiplication always comes before addition!

Can I use parentheses to make this clearer?

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Absolutely! Writing (3.5×4)+(16×2.5) (3.5\times4) + (16\times2.5) makes the order crystal clear. The parentheses don't change the answer, but they help you see what to calculate first.

How do I check if 54 is really correct?

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Calculate each multiplication: 3.5×4=14 3.5\times4 = 14 and 16×2.5=40 16\times2.5 = 40 . Then add: 14+40=54 14 + 40 = 54 . If you get the same result, you're right!

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