The tenths place is the place just to the right of the point in a decimal number. When you use one decimal, you express yourself with the precision of a tenth. $10$ tenths is the same as $1$:

$$\begin{array}{llllllll}\hfill \phantom{\rule{2em}{0ex}}& 0.1+0.1+0.1+0.1+0.1\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill \phantom{\rule{2em}{0ex}}& +0.1+0.1+0.1+0.1+0.1\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill \phantom{\rule{2em}{0ex}}& =1.0\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$$

$$0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1+0.1=1.0$$ |

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Think About This

All numbers with one decimal behind the point has tenths. The tenths we have are

$$\begin{array}{llll}\hfill 0.1& ,\phantom{\rule{0.33em}{0ex}}0.2,\phantom{\rule{0.33em}{0ex}}0.3,\phantom{\rule{0.33em}{0ex}}0.4,\phantom{\rule{0.33em}{0ex}}0.5,\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & 0.6,\phantom{\rule{0.33em}{0ex}}0.7,\phantom{\rule{0.33em}{0ex}}0.8,\phantom{\rule{0.33em}{0ex}}0.9\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$$

$$0.1\phantom{\rule{1em}{0ex}}0.2\phantom{\rule{1em}{0ex}}0.3\phantom{\rule{1em}{0ex}}0.4\phantom{\rule{1em}{0ex}}0.5\phantom{\rule{1em}{0ex}}0.6\phantom{\rule{1em}{0ex}}0.7\phantom{\rule{1em}{0ex}}0.8\phantom{\rule{1em}{0ex}}0.9$$ |

$$\begin{array}{llll}\hfill & 8.3\phantom{\rule{1em}{0ex}}231.9\phantom{\rule{1em}{0ex}}6384.5\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill & 1.2\phantom{\rule{2em}{0ex}}45.7\phantom{\rule{2em}{0ex}}60.8.\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$$

$$8.3\phantom{\rule{1em}{0ex}}231.9\phantom{\rule{1em}{0ex}}6384.5\phantom{\rule{1em}{0ex}}1.2\phantom{\rule{2em}{0ex}}45.7\phantom{\rule{2em}{0ex}}60.8.$$ |

Here are a couple examples of how tenths exist between two consecutive integers on the real line:

Example 1

**Take a look at the first line of numbers above. Find two numbers between 0 and 1. **

There are nine numbers to choose between, for example $0.3$ and $0.7$.

Example 2

**Take a look at the second line of numbers above. Find two numbers between 68 and 69. **

There are nine numbers to choose between, two of which are $68.2$ and $68.5$.

Example 3

**When you count tenths, which number comes after $\text{}10.9\text{}$? **

As $10.9$ is one tenth to the left of $11$, the answer becomes $11.0$.

Think About This

Take a look at Example 3. $9$ is the highest digit you can have in the tenths place. That’s why, when you need to find the number that comes after $10.9$, you have to increase the number to the left of the tenths place by $1$ instead. Then you need to restart the digits in the tenths place, making the digit there $0$. That gives you this:

$$\text{}10.9\text{increasedby}0.1\text{becomes}11.0\text{.}$$ |

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