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When you come across a number like 7.8, it's important to focus on both parts: the whole number and the decimal part. Decimal notation is a way of writing numbers that are not whole. It uses a decimal point ('.') to separate the whole number from the fractional part. For example, in 7.8, the '7' is the whole number, and the '8' is the decimal part. The decimal point acts as a separator, helping to clarify which part of the number is whole and which part is a fraction of a whole.

Understanding decimal notation is crucial in everyday life, from reading prices in a store to measuring quantities in recipes.

Whole numbers are simple, straightforward numbers that do not contain any fractions or decimals. They are the numbers you count with, like 0, 1, 2, 3, and so on.

In our example of 7.8, the whole number part is '7'. It's counted before the decimal point. Whole numbers are always located to the left of the decimal point. Whenever you read a decimal, you first identify this whole number part, as it gives the base value of the number. Knowing how to separate and identify whole numbers is the first step in understanding and naming decimals properly.

Place value refers to the value of each digit in a number based on its position. In 7.8, the '7' is in the ones place, meaning it represents seven whole units. The digit '8' is in the tenths place, meaning it represents eight-tenth units or 0.8. Each place value to the right of the decimal point represents a fraction of 10. For example:

* The first place to the right of the decimal point is the tenths place. * The second place is the hundredths place. * The third place is the thousandths place.

Understanding place value is essential for naming decimals correctly. It lets you correctly interpret the fractional part of the number, which in our case helps name 7.8 as 'seven and eight-tenths'.