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

\( 100+5-100+5 \)

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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