Calculate 9-0+0.5: Mixed Operations with Decimals

Order of Operations with Decimal Numbers

Solve the following exercise:

90+0.5= 9-0+0.5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem together.
00:16 First, we reduce the zero.
00:21 Now, let's keep working through the steps.
00:26 And there you have it, the solution to our question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

90+0.5= 9-0+0.5=

2

Step-by-step solution

According to the order of operations rules, since the exercise only involves addition and subtraction, we will solve the problem from left to right:

90=9 9-0=9

9+0.5=9.5 9+0.5=9.5

3

Final Answer

9.5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Operations of equal precedence are solved left to right
  • Technique: First calculate 9-0=9, then add 9+0.5=9.5
  • Check: Substitute back: 9-0+0.5 equals 9.5 when computed correctly ✓

Common Mistakes

Avoid these frequent errors
  • Computing addition before subtraction
    Don't solve 0+0.5 first to get 9-0.5=8.5! Addition and subtraction have equal precedence, so ignoring left-to-right order gives wrong results. Always work from left to right when operations have the same priority level.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

\( 36-4\div2 \)

FAQ

Everything you need to know about this question

Why can't I add 0+0.5 first since addition comes before subtraction?

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Addition and subtraction have equal precedence! This means you must work left to right, not addition first. The order is: subtraction first (9-0), then addition (9+0.5).

Does subtracting zero really matter in this problem?

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Yes, because it shows you understand the order of operations! Even though 9-0=9, you must still do this step first before adding 0.5.

How do I remember when to go left to right?

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Use PEMDAS: Operations at the same level (like + and -) are solved left to right. Same rule applies to × and ÷ when they appear together.

What if I accidentally got 8.5 as my answer?

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You likely computed 9(0+0.5)=90.5=8.5 9-(0+0.5) = 9-0.5 = 8.5 . Remember: no parentheses means no grouping, so work left to right instead!

Is 9.5 the same as 9 and a half?

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Yes! 9.5 = 9½. Both represent nine and five-tenths. Decimal notation is just another way to write mixed numbers or fractions.

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