Convert to Decimal: Writing One and Twenty-Five Hundredths (1.25)

Q: What's the difference between hundredths and hundreds?

Hundreds are whole numbers (like 100, 200), while hundredths are fractional parts. Think of it like cutting a pie: hundredths means you divided something into 100 equal pieces.

Q: How do I remember which decimal place is which?

Use this pattern: tenths, hundredths, thousandths. The names match the fractions: $ \frac{1}{10} $, $ \frac{1}{100} $, $ \frac{1}{1000} $. More zeros = farther right!

Q: Why is it 1.25 and not 1.250?

Both are correct! Trailing zeros after the decimal don't change the value. However, 1.25 is the simplified form, so it's usually the preferred answer.

Q: What if I see 'and' in a written number?

The word 'and' always marks where the decimal point goes! Everything before 'and' is the whole number part, everything after becomes the decimal part.

Word-to-Decimal Conversion with Place Values

What is one and twenty-five hundredths written as a decimal fraction?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is one and twenty-five hundredths written as a decimal fraction?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the whole number part from the phrase.
Step 2: Convert the fractional phrase to a decimal.
Step 3: Combine the whole number and decimal parts.

Now, let's work through each step:

Step 1: The phrase "one" corresponds to the whole number $1$ .

Step 2: The phrase "twenty-five hundredths" refers to the decimal $0.25$ . "Hundredths" means the second place to the right of the decimal point.

Step 3: Combine the whole number and the fractional part to form the decimal fraction, which is $1.25$ .

Thus, one and twenty-five hundredths written as a decimal fraction is $1.25$ , which matches choice 2.

Final Answer

1.25

Key Points to Remember

Essential concepts to master this topic

Reading Rule: Break written numbers into whole and fractional parts
Technique: Twenty-five hundredths = 25 in hundredths place = 0.25
Check: Read 1.25 aloud: "one and twenty-five hundredths" matches original ✓

Common Mistakes

Avoid these frequent errors

Confusing place value names with actual positions
Don't write twenty-five hundredths as 0.025 or 2.5! "Hundredths" means two places after the decimal point, so 25 hundredths is 0.25, not 0.025. Always count decimal places carefully: tenths (first), hundredths (second), thousandths (third).

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

What's the difference between hundredths and hundreds?

Hundreds are whole numbers (like 100, 200), while hundredths are fractional parts. Think of it like cutting a pie: hundredths means you divided something into 100 equal pieces.

How do I remember which decimal place is which?

Use this pattern: tenths, hundredths, thousandths. The names match the fractions: $\frac{1}{10}$ , $\frac{1}{100}$ , $\frac{1}{1000}$ . More zeros = farther right!

Why is it 1.25 and not 1.250?

Both are correct! Trailing zeros after the decimal don't change the value. However, 1.25 is the simplified form, so it's usually the preferred answer.

What if I see 'and' in a written number?

The word 'and' always marks where the decimal point goes! Everything before 'and' is the whole number part, everything after becomes the decimal part.

How do I avoid mixing up the decimal places?

Count carefully from the decimal point: first place = tenths, second place = hundredths. Twenty-five hundredths means 25 goes in the second position after the decimal.

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