Solve 187×(8-5): Multiplication with Parentheses Problem

Q: Why do I solve the parentheses first instead of multiplying?

The order of operations (PEMDAS) requires parentheses to be solved first! This makes calculations simpler: $ 187\times(8-5)=187\times 3=561 $ instead of doing two harder multiplications.

Q: Can I use the distributive property instead?

Technically yes, but it's more work! You'd calculate $ 187\times 8-187\times 5=1496-935=561 $. The parentheses-first method is much simpler and less error-prone.

Q: What if the parentheses had addition instead of subtraction?

Same rule applies! For $ 187\times(8+5) $, first solve $ 8+5=13 $, then multiply $ 187\times 13 $. Always do parentheses first.

Q: How do I multiply 187 × 3 without a calculator?

Break it down: $ 187\times 3=(100+80+7)\times 3=300+240+21=561 $. Or use vertical multiplication with 187 on top and 3 below.

Q: What if I accidentally get 365 as my answer?

You probably calculated $ 187\times 2-1=365 $ instead of $ 187\times 3=561 $. Double-check that $ 8-5=3 $, not 2!

Order of Operations with Parentheses First

Solve the following problem:

$187\times(8-5)=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's solve this problem together.

00:10 First, open the parentheses carefully.

00:14 Multiply each outer term with every term inside the parentheses.

00:19 We'll use long multiplication for each step.

00:22 Let's start with the first multiplication.

00:26 Now, calculate the second multiplication using long multiplication.

00:31 This is the second multiplication. Next, we'll subtract them.

00:36 Use long subtraction to find the answer.

00:40 Great job! That's your solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following problem:

$187\times(8-5)=$

Step-by-step solution

Apply the distributive property and proceed to multiply each term inside of the parentheses by 187:

$187\times8-187\times5=$

Solve the first multiplication problem vertically, making sure to solve it in the correct order (ones multiplied by ones, ones multiplied by tens, ones multiplied by hundreds )

$187\\\times8$

We should obtain the following result: 1496

Proceed to solve the second multiplication problem vertically, once again making sure to solve it in the correct order (ones multiplied by ones, ones multiplied by tens, ones multiplied by hundreds )

$187\\\times5$

We should obtain the following result: 935

Now to tackle the next problem:

$1496-935=$

We should once again solve this vertically. Make sure to align the digits properly, ones under ones, tens under tens, etc.:

$1496\\-935$

Subtract ones from ones, tens from tens, etc., to obtain the final result: $561$

Final Answer

$561$

Key Points to Remember

Essential concepts to master this topic

Rule: Always solve operations inside parentheses before multiplication
Technique: Calculate $8-5=3$ , then $187\times 3=561$
Check: Substitute back: $187\times(8-5)=187\times 3=561$ ✓

Common Mistakes

Avoid these frequent errors

Using distributive property instead of parentheses first
Don't distribute 187 to get $187\times 8-187\times 5=1496-935=561$ ! While this gives the correct answer, it's unnecessarily complex and prone to calculation errors. Always solve parentheses first: $8-5=3$ , then multiply $187\times 3=561$ .

Practice Quiz

Test your knowledge with interactive questions

Solve the following expression:

$$ (85+5):10= $$

FAQ

Everything you need to know about this question

Why do I solve the parentheses first instead of multiplying?

The order of operations (PEMDAS) requires parentheses to be solved first! This makes calculations simpler: $187\times(8-5)=187\times 3=561$ instead of doing two harder multiplications.

Can I use the distributive property instead?

Technically yes, but it's more work! You'd calculate $187\times 8-187\times 5=1496-935=561$ . The parentheses-first method is much simpler and less error-prone.

What if the parentheses had addition instead of subtraction?

Same rule applies! For $187\times(8+5)$ , first solve $8+5=13$ , then multiply $187\times 13$ . Always do parentheses first.

How do I multiply 187 × 3 without a calculator?

Break it down: $187\times 3=(100+80+7)\times 3=300+240+21=561$ . Or use vertical multiplication with 187 on top and 3 below.

What if I accidentally get 365 as my answer?

You probably calculated $187\times 2-1=365$ instead of $187\times 3=561$ . Double-check that $8-5=3$ , not 2!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Solve 187×(8-5): Multiplication with Parentheses Problem

Order of Operations with Parentheses First

❤️ 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 parentheses first instead of multiplying?

Can I use the distributive property instead?

What if the parentheses had addition instead of subtraction?

How do I multiply 187 × 3 without a calculator?

What if I accidentally get 365 as my answer?

🌟 Unlock Your Math Potential

More Questions

Parentheses in advanced Order of Operations

Solve (10+5+18)×4: Order of Operations Practice

Solve the Expression: (29-4):5 Using Order of Operations

Solve: 2×(3+½×8) Using Order of Operations

Solve (18-10)² + 3³: Combined Square and Cube Number Problem

The Distributive Property for 7th Grade

Solve Division Expression: 106÷(6+1-5) Step by Step

Solve 340 ÷ (12-7): Order of Operations Practice

Solve: Finding 1/4 of (44 + 444) Using Fraction Properties

Calculate the Product: Solving 97 × 12 Step by Step

Parentheses in simple Order of Operations

Solve (1.4-0.3)×10: Decimal Operations with Powers of Ten

Solve 25(5+0): Order of Operations Practice Problem

Maximum Value Analysis: Identifying the Highest-Result Expression

Solve (12+2)×(3+5): Order of Operations Practice Problem