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4th Grade · Math

Decimals to Hundredths

Free sample questions, a clear explanation, and 5 practice skills with an AI tutor that guides without giving the answer away.

Concept Review

Decimals to Hundredths: The Language of Precision

Why does a gymnast score 9.85 instead of just 9 or 10? Why does gas cost $3.79 per gallon instead of $3 or $4? The answer lies in decimals — our way of expressing parts smaller than whole numbers with incredible precision.

Decimals are like a microscope for numbers. Just as we can zoom in to see tiny details in science, decimals let us zoom in to see the parts between whole numbers. The decimal point is our signal that we're about to explore these smaller pieces.

Reading Decimals: Two Ways to Say the Same Thing

When you see the decimal 0.47, you can read it two different ways:

0.47
Method 1: Place Value
"Four tenths and seven hundredths"
0.47
Method 2: Fraction Style
"Forty-seven hundredths"

The Decimal House: Tenths and Hundredths

Just like whole numbers have place values (ones, tens, hundreds), decimal places have their own special addresses:

🥇
Tenths Place
First house after the decimal point
2.68
🥈
Hundredths Place
Second house after the decimal point
2.68

Let's practice with a real example. The decimal 3.24 means "3 and 24 hundredths." You could also say "3 and 2 tenths and 4 hundredths." When writing this as words: three and twenty-four hundredths.

🔑 Key Insight

The word "and" is like a translator for the decimal point! In the number 5.83, we say "five and eighty-three hundredths." The word "and" always marks exactly where the decimal point belongs.

Writing Decimals from Words

When someone says "seven and thirty-one hundredths," your decoder ring works like this: "Seven" goes before the decimal point, "and" means insert a decimal point, and "thirty-one hundredths" means 31 in the hundredths places. Result: 7.31.

🔑 Key Takeaway

Just like that gymnast's score of 9.85 tells us she was very close to perfect, decimals give us the power to measure and express exact amounts. Whether it's money, sports scores, or scientific measurements, decimals help us communicate with precision — and now you speak their language fluently!

Sample questions

1. How do you write "four and twenty-six hundredths" as a decimal?
4.026
42.6
4.26
0.426
Answer: 4.26 — The "and" represents the decimal point. 26 fills the tenths and hundredths places.
2. What is the word form for the decimal 0.08?
Eight tenths
Zero point eight
Eighty hundredths
Eight hundredths
Answer: Eight hundredths — Since the 8 is in the second place after the decimal, it represents hundredths.
3. Write "five tenths" as a decimal.
0.5
0.05
5.0
0.50
Answer: 0.5 — 0.5 and 0.50 are both correct, but "five tenths" is most simply written as 0.5.

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