Solve the Ratio Problem: Converting 20:1 to Standard Form

Q: What does the colon symbol mean in 20:1?

The colon (:) symbol means division. So 20:1 is the same as writing $ \frac{20}{1} $ or 20 ÷ 1.

Q: Would 1:20 give the same answer?

No! 1:20 means 1 ÷ 20 = 0.05, which is completely different. Order matters in division and ratios.

Q: How can I remember this division property?

Think of it this way: dividing by 1 means 'not dividing at all' - you keep the original number unchanged. It's like cutting a pizza into 1 piece!

Division Properties with Unity Divisor

$20:1=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Any number divided by 1 always equals the number itself

00:06 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

$20:1=$

Step-by-step solution

The problem asks us to divide 20 by 1. Let's solve this step-by-step:

Step 1: Identify the operation required, which is division.
Step 2: Recall the property of division by 1: dividing any number by 1 results in the number itself.
Step 3: Apply this property to our problem: $\frac{20}{1}$ .

Using the property of division, we have:

$\frac{20}{1} = 20$ .

Therefore, the solution to the problem is 20.

The correct answer to the given multiple-choice question is choice 2: 20.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Any number divided by 1 equals the number itself
Technique: Recognize $20:1$ means $\frac{20}{1} = 20$
Check: Multiply answer by divisor: 20 × 1 = 20 ✓

Common Mistakes

Avoid these frequent errors

Confusing ratio notation with other operations
Don't think 20:1 means 20 minus 1 or 20 plus 1 = wrong answers like 19 or 21! The colon symbol specifically means division. Always read 20:1 as 'twenty divided by one.'

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

What does the colon symbol mean in 20:1?

The colon (:) symbol means division. So 20:1 is the same as writing $\frac{20}{1}$ or 20 ÷ 1.

Why is 20 divided by 1 still 20?

Dividing by 1 is like asking 'how many groups of 1 can I make from 20?' The answer is 20 groups, so you get 20!

Would 1:20 give the same answer?

No! 1:20 means 1 ÷ 20 = 0.05, which is completely different. Order matters in division and ratios.

How can I remember this division property?

Think of it this way: dividing by 1 means 'not dividing at all' - you keep the original number unchanged. It's like cutting a pizza into 1 piece!

Are there other numbers that work like dividing by 1?

Yes! Multiplying by 1 also leaves numbers unchanged. These are called identity properties - they keep the original value identical.

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