Solve: 10(0.75 + 1.2) - Order of Operations with Decimals

Q: Why do I have to do parentheses first?

The order of operations (PEMDAS) requires parentheses first! If you multiply before adding, you change the meaning of the problem and get a completely different answer.

Q: Is there a shortcut for multiplying by 10?

Yes! When multiplying a decimal by 10, simply move the decimal point one place to the right. So $ 1.95 \times 10 = 19.5 $

Q: What if I get confused about decimal placement?

Always count the decimal places carefully. When adding decimals, make sure they're lined up. When multiplying by 10, move the decimal point exactly one spot right.

Order of Operations with Decimal Multiplication

$10(0.75+1.2)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Always solve parentheses first

00:09 Use long addition

00:17 Pay attention to the decimal point

00:21 Now multiply

00:26 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

$10(0.75+1.2)=$

Step-by-step solution

First, let's solve what's in the parentheses vertically.

Let's remember that:

$1.2=1.20$

We'll make sure to write the exercise correctly.

Note that the decimal point is in place and ones are under ones, tens under tens, etc.

$1.20\\+0.75\\$

And we'll get the result:

$1.95$

Now we have the exercise:

$10\times1.95=$

This exercise doesn't require calculation, but rather moving the decimal point "one step" to the right, since we are multiplying by ten.

In other words, if we move the decimal point to the right we'll get:

$19.5$

Final Answer

$19.5$

Key Points to Remember

Essential concepts to master this topic

Rule: Always solve parentheses first, then multiply left to right
Technique: Add decimals first: 0.75 + 1.2 = 1.95, then multiply by 10
Check: Multiplying by 10 moves decimal one place right: 1.95 becomes 19.5 ✓

Common Mistakes

Avoid these frequent errors

Multiplying before solving parentheses
Don't multiply 10 × 0.75 first = 7.5, then add 1.2 = 8.7! This ignores order of operations and gives the wrong answer. Always solve what's inside parentheses first, then multiply.

Practice Quiz

Test your knowledge with interactive questions

$$ 140-70= $$

FAQ

Everything you need to know about this question

Why do I have to do parentheses first?

The order of operations (PEMDAS) requires parentheses first! If you multiply before adding, you change the meaning of the problem and get a completely different answer.

How do I add decimals like 0.75 + 1.2?

Line up the decimal points vertically! Write 1.2 as 1.20 so both numbers have the same decimal places: $1.20 + 0.75 = 1.95$

Is there a shortcut for multiplying by 10?

Yes! When multiplying a decimal by 10, simply move the decimal point one place to the right. So $1.95 \times 10 = 19.5$

What if I get confused about decimal placement?

Always count the decimal places carefully. When adding decimals, make sure they're lined up. When multiplying by 10, move the decimal point exactly one spot right.

How can I check if 19.5 is correct?

Work backwards! Divide 19.5 by 10 to get 1.95, then check if $0.75 + 1.2 = 1.95$ . If both steps work, your answer is right!

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