Solve (13×2)-(12×1.5): Mixed Operations with Decimals

Q: Why do I solve the multiplications first instead of going left to right?

The order of operations (PEMDAS/BODMAS) tells us to solve operations in parentheses first! Even without parentheses, multiplication comes before subtraction in the order of operations.

Q: How do I multiply by a decimal like 1.5?

Think of 1.5 as 1½ or convert to fractions: $ 12 \times 1.5 = 12 \times \frac{3}{2} = \frac{36}{2} = 18 $. You can also use 12 × 1 = 12 and 12 × 0.5 = 6, then add: 12 + 6 = 18.

Q: What if I get a different answer when I check my work?

Go back and recalculate each step slowly. Make sure you're following the order of operations correctly and double-check your decimal multiplication. Practice makes perfect!

Q: Do I always need parentheses for the order of operations?

No! Even without parentheses, multiplication comes before subtraction. The parentheses in this problem just make it extra clear which operations to do first.

Q: Can I use a calculator for problems like this?

Absolutely! But make sure you enter the operations in the correct order. Most calculators follow order of operations automatically, but it's good to understand the steps yourself first.

Order of Operations with Decimal Multiplication

$(13\times2)-(12\times1.5)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:08 Let's begin with what's inside the parentheses. Remember, they come first in math.

00:17 Now we just add the numbers together. It's a simple addition.

00:21 Great job! That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(13\times2)-(12\times1.5)=$

Step-by-step solution

According to the order of operations, we will first solve the multiplication exercises in parentheses:

$(13\times2)=26$

$(12\times1.5)=18$

Now we will subtract:

$26-18=8$

Final Answer

$8$

Key Points to Remember

Essential concepts to master this topic

Order Rule: Always solve operations inside parentheses first
Technique: Calculate $13 \times 2 = 26$ and $12 \times 1.5 = 18$ separately
Check: Verify final subtraction: $26 - 18 = 8$ ✓

Common Mistakes

Avoid these frequent errors

Solving from left to right without following order of operations
Don't solve $13 \times 2 - 12 \times 1.5$ as $26 - 12 = 14$ then $14 \times 1.5 = 21$ ! This ignores the parentheses and gives a completely wrong answer. Always solve all multiplication operations in parentheses first, then perform the subtraction.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

Why do I solve the multiplications first instead of going left to right?

The order of operations (PEMDAS/BODMAS) tells us to solve operations in parentheses first! Even without parentheses, multiplication comes before subtraction in the order of operations.

How do I multiply by a decimal like 1.5?

Think of 1.5 as 1½ or convert to fractions: $12 \times 1.5 = 12 \times \frac{3}{2} = \frac{36}{2} = 18$ . You can also use 12 × 1 = 12 and 12 × 0.5 = 6, then add: 12 + 6 = 18.

What if I get a different answer when I check my work?

Go back and recalculate each step slowly. Make sure you're following the order of operations correctly and double-check your decimal multiplication. Practice makes perfect!

Do I always need parentheses for the order of operations?

No! Even without parentheses, multiplication comes before subtraction. The parentheses in this problem just make it extra clear which operations to do first.

Can I use a calculator for problems like this?

Absolutely! But make sure you enter the operations in the correct order. Most calculators follow order of operations automatically, but it's good to understand the steps yourself first.

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Solve (13×2)-(12×1.5): Mixed Operations with Decimals

Order of Operations with Decimal Multiplication

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I solve the multiplications first instead of going left to right?

How do I multiply by a decimal like 1.5?

What if I get a different answer when I check my work?

Do I always need parentheses for the order of operations?

Can I use a calculator for problems like this?

🌟 Unlock Your Math Potential

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