Calculate the Percentage: What is 138 Divided by 10?

Q: Why is the percentage over 100%?

When the part (138) is larger than the whole (10), the percentage will always exceed 100%. This means 138 is 13.8 times larger than 10!

Q: How do I remember the percentage formula?

Think of it as: "What I want to find" ÷ "What I'm comparing to" × 100. Here, we want to find what percentage 138 is of 10.

Q: Can I just move the decimal point instead of multiplying by 100?

Yes! Moving the decimal point two places to the right is the same as multiplying by 100. So 13.8 becomes 1380%.

Q: What if I get confused about which number goes where?

Look for the word "of" in the problem. The number after "of" is usually the whole. Here: "138 of 10" means 10 is the whole.

Percentage Calculations with Large Values

What is the percentage of 138 over 10?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 138 as a percentage of 10

00:05 Apply the formula for calculating percentages

00:10 Divide one number by the other and proceed to multiply by 100

00:15 Break down 100 into factors of 10 and 10

00:20 Simplify wherever possible

00:25 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the percentage of 138 over 10?

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Identify the given values. The "part" value is 138, and the "whole" value is 10.
Step 2: Use the percentage formula:

$\text{Percentage} = \left(\frac{\text{part}}{\text{whole}}\right) \times 100$
Step 3: Perform the division of the part by the whole:

$\frac{138}{10} = 13.8$
Step 4: Convert the result to a percentage by multiplying by 100:

$13.8 \times 100 = 1380$

Therefore, 138 is 1380% of 10.

The correct choice from the provided answers is: 1380%.

Final Answer

1380%

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage = (part ÷ whole) × 100
Technique: First divide 138 ÷ 10 = 13.8, then multiply by 100
Check: 1380% of 10 equals 138: (1380 ÷ 100) × 10 = 138 ✓

Common Mistakes

Avoid these frequent errors

Confusing which number is the part vs whole
Don't assume the larger number is always the whole = wrong division direction! When 138 is compared to 10, students might calculate 10/138 instead. Always identify: 138 is the part being compared to 10 as the whole.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why is the percentage over 100%?

When the part (138) is larger than the whole (10), the percentage will always exceed 100%. This means 138 is 13.8 times larger than 10!

How do I remember the percentage formula?

Think of it as: "What I want to find" ÷ "What I'm comparing to" × 100. Here, we want to find what percentage 138 is of 10.

Can I just move the decimal point instead of multiplying by 100?

Yes! Moving the decimal point two places to the right is the same as multiplying by 100. So 13.8 becomes 1380%.

What if I get confused about which number goes where?

Look for the word "of" in the problem. The number after "of" is usually the whole. Here: "138 of 10" means 10 is the whole.

Is 1380% really correct when it seems so big?

Absolutely! Large percentages are normal when comparing a big number to a small one. Think: 138 cookies compared to 10 cookies is indeed 1380%!

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