Basic,

A **decimal** number is identified by a **decimal point**. Everything to the left of the decimal point is the **integer part** of the number, and everything to the right of the decimal point is the **decimal part**.

The integer part of the number is divided up into units, 10s, 100s and 1000s (as for integers).

The decimal part is divided into `frac(1)(10)`, `frac(1)(100)`, `frac(1)(1000)`, with each new column (working to the right) being 10 times *smaller* than the previous column.

In the example above, 135.792 is made up from:

1 is 1 x 100 = 100

3 is 3 x 10 = 30

5 has a value of 5

(decimal point)

7 is 7 x `frac(1)(10)` = 0.7 (`frac(7)(10)` as a fraction)

9 is 9 x `frac()(100)` = 0.09 (`frac(9)(100)`)

2 is 2 x `frac(1)(1000)` = 0.002 (`frac(2)(1000)`, or `frac(1)(500)`)

1. What is the value of the digit 3 in 48.635? Show the answer as a fraction.

Answer: `frac(3)(100)`

The three is in the hundredths column. 3 x `frac(1)(100)` = `frac(3)(100)`.

2. Which is the larger number, 23.65 or 23.592?

Answer: 23.65

Working from the left, compare the digits by column. Both have the same integer part. Comparing the 1/10 column, the 6 on the first number is higher than the 5 on the second number, *even though the second number has more places after the decimal point*.

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