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

Decimal Operations with Order of Operations

(1.40.3)×10= (1.4-0.3)\times10=

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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
00:07 Use long subtraction
00:14 Multiply and solve
00:17 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(1.40.3)×10= (1.4-0.3)\times10=

2

Step-by-step solution

According to the order of operations, we will first solve the expression in parentheses.

We will solve the exercise vertically, making sure to align digits properly - ones under ones, tens under tens, and so on. Note that the decimal point is in place:

1.40.3 1.4\\-0.3\\

And we get the result:

1.1 1.1

Now we have the expression:

1.1×10= 1.1\times10=

The above expression doesn't need to be calculated, we simply need to move the decimal point one place to the right, since we are multiplying by ten, meaning we're adding a tens place.

Therefore, we get the result:

11 11

3

Final Answer

11 11

Key Points to Remember

Essential concepts to master this topic
  • Order Rule: Always solve parentheses first, then multiplication
  • Decimal Subtraction: Align decimal points: 1.4 - 0.3 = 1.1
  • Check: Verify 1.1 × 10 = 11 by moving decimal right ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring order of operations
    Don't multiply 1.4 × 10 first then subtract 0.3 × 10 = 14 - 3 = 11! This gives the wrong process even though the answer happens to match. Always solve parentheses before multiplication following PEMDAS.

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?

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The order of operations (PEMDAS) requires parentheses first! The expression (1.40.3)×10 (1.4-0.3)\times10 means 'subtract first, then multiply the result.'

How do I subtract decimals like 1.4 - 0.3?

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Line up the decimal points vertically! Write 1.4 above 0.3, making sure the decimal points align. Then subtract normally: 4 - 3 = 1, and 1 - 0 = 1, giving you 1.1.

Is there a shortcut for multiplying by 10?

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Yes! When multiplying a decimal by 10, simply move the decimal point one place to the right. So 1.1×10=11 1.1 \times 10 = 11 (the decimal point moves from 1.1 to 11.0).

What if I get a different answer?

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Double-check your work! Make sure you solved inside the parentheses first, aligned decimal points correctly, and moved the decimal point right when multiplying by 10.

Why isn't the answer 9?

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Getting 9 means you probably calculated 1.40.3=0.9 1.4 - 0.3 = 0.9 instead of 1.1. Remember: when subtracting decimals, 4 - 3 = 1 in the tenths place, and 1 - 0 = 1 in the ones place!

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