Crossing the Point
A Decimal Point separates whole numbers from parts of a whole. Anything to the right of the point is smaller than 1!
The Tenths Place
If you divide a whole into 10 equal parts, each part is a tenth.
- Fraction: $\frac{1}{10}$
- Decimal: $0.1$
- Money: 1 Dime ($0.10$)
Example: $0.7$ is "seven tenths" or $\frac{7}{10}$.
The Hundredths Place
If you divide a whole into 100 equal parts, each part is a hundredth. This is the second spot after the decimal.
- Fraction: $\frac{1}{100}$
- Decimal: $0.01$
- Money: 1 Penny ($0.01$)
Example: $0.45$ is "forty-five hundredths" or $\frac{45}{100}$.
Who is Larger?
Be careful! $0.4$ is actually larger than $0.04$. Why? Because $0.4$ is 4 tenths (4 dimes), while $0.04$ is only 4 hundredths (4 pennies).
Pro Tip: Add a "placeholder zero" to make them look the same length.
Compare $0.4\mathbf{0}$ vs $0.04$. Now it's easy to see that 40 is bigger than 4!
Decimal Reference Sheet
| Fraction | Decimal | Read as... |
|---|---|---|
| $\frac{1}{10}$ | $0.1$ | One Tenth |
| $\frac{5}{10}$ | $0.5$ | Five Tenths (Half) |
| $\frac{10}{10}$ | $1.0$ | One Whole |
| $\frac{1}{100}$ | $0.01$ | One Hundredth |
| $\frac{25}{100}$ | $0.25$ | Twenty-five Hundredths |
| $\frac{70}{100}$ | $0.70$ | Seventy Hundredths (or 7 Tenths) |
Analyzing...
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Decimal Authority!
You have successfully mapped the tenth and hundredth dimensions. All data is synchronized.