A decimal number is a number that uses a decimal point to separate the whole number part from the fractional part. It is a base-ten number system, which means it uses ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) to represent all possible values. The position of each digit in a decimal number determines its value, with the first position being the tenth place, the second position being the hundredth place, the third position being the thousandth place, and so on.

For example, the decimal number 123.456 has a whole number part of 123 and a fractional part of 0.456.

Decimal Place Value

Decimal place value refers to the value of a digit in a decimal number based on its position. In a decimal number, each place to the right of the decimal point represents a tenth, hundredth, thousandth, and so on. The decimal place value of a digit tells us how much it contributes to the overall value of the number. The first digit to the left of the decimal point represents the ones place value, and each digit to the left of that represents a higher place value by a factor of 10.

For example, in the decimal number 123.456, digit 1 represents the hundred place value, digit 2 represents the tens place value, and digit 3 represents the ones place value.

The first digit to the right of the decimal point represents the tenth place value, and each digit to the right of that represents a smaller place value by a factor of 10.

For example, in the decimal number 123.456, digit 4 represents the tenth place value, digit 5 represents the hundredths place value, and digit 6 represents the thousandths place value.

Decimal Place Value Chart

A decimal place value chart is a way to represent decimal numbers using the place value system. It involves dividing the decimal number into different place values, such as ones, tenths, hundredths, and so on, and placing each value in its corresponding place in the chart. The decimal point is used to separate the whole number part of the decimal from the fractional part.

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