Solve (10+6)×(70+3): Finding Equivalent Expressions

Q: How do I know which answer choice is equivalent?

Calculate what's in each set of parentheses: $ 10+6=16 $ and $ 70+3=73 $. The equivalent expression is simply 16×73!

Q: Is there ever a time when I don't solve parentheses first?

In basic arithmetic like this, always solve parentheses first! This follows PEMDAS/BODMAS order of operations, which is a fundamental math rule.

Q: What's the final answer to this problem?

The question asks for the equivalent expression, not the final calculation. So $ 16×73 $ is the answer, though you could calculate $ 16×73=1168 $ if needed.

Order of Operations with Parenthetical Expressions

Which equation is the same as the following?

$(10+6)\times(70+3)$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the expression that represents the correct breakdown of the exercise

00:03 Let's solve what's inside the parentheses to find the expression

00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which equation is the same as the following?

$(10+6)\times(70+3)$

Step-by-step solution

Let's keep in mind that each set of parentheses represent a number.

That is, if we solve the exercises within parentheses we will get a multiplication exercise of two numbers.

We solve each of the exercises within parentheses to reveal what the numbers are:

$10+6=16$

$70+3=73$

That is, the exercise we obtained is the multiplication between two numbers:

$16\times73$

Final Answer

$16\times73$

Key Points to Remember

Essential concepts to master this topic

Rule: Solve expressions inside parentheses first before multiplying
Technique: Calculate (10+6)=16 and (70+3)=73 separately first
Check: Final expression 16×73 matches original structure ✓

Common Mistakes

Avoid these frequent errors

Distributing multiplication before solving parentheses
Don't multiply across parentheses like (10+6)×(70+3) = 10×70 + 6×3 = wrong answer! This skips the order of operations and creates unnecessary complexity. Always solve what's inside parentheses first, then multiply the results.

Practice Quiz

Test your knowledge with interactive questions

$$ 140-70= $$

FAQ

Everything you need to know about this question

Why can't I just distribute and multiply everything out?

While distributing works, it's much more complex! You'd need to calculate $10×70 + 10×3 + 6×70 + 6×3$ instead of the simple 16×73. Following order of operations keeps it simple.

What if the numbers inside parentheses were harder to add?

The same rule applies! Always solve inside parentheses first. If you have $(15+8)×(20+7)$ , calculate 23×27, not the complex distribution.

How do I know which answer choice is equivalent?

Calculate what's in each set of parentheses: $10+6=16$ and $70+3=73$ . The equivalent expression is simply 16×73!

Is there ever a time when I don't solve parentheses first?

In basic arithmetic like this, always solve parentheses first! This follows PEMDAS/BODMAS order of operations, which is a fundamental math rule.

What's the final answer to this problem?

The question asks for the equivalent expression, not the final calculation. So $16×73$ is the answer, though you could calculate $16×73=1168$ if needed.

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