In the fraction form , each part has a value equal to 1 or 1 thousandth. What decimals do the following fractions or mixed numbers represent? What is the value of each digit in 7.
Write a decimal for each letter on the number line below. Compare the numbers 3. Compare the numbers digit by digit starting with the digit in the highest place value. Complete the number patterns below. Rule: Add 0. Rule: Subtract 1. One-thousandth is ten ten-thousandths.
The ones place is the first digit to the left of the decimal point. Hundred ths ordinal is a decimal unit. It falls to the right of the decimal point. Hundred cardinal is a whole unit. It falls to the left of the decimal point. Example 2. Expanded form. Just as the numeral for every whole number stands for a sum Lesson 2 , so does the numeral for every decimal.
Here is the expanded form of. At this point, please "turn" the page and do some Problems. E-mail: teacher themathpage. Which numbers are the decimal units? What is the function of the decimal point? Which decimal unit is at each decimal place? Section 2 How do we name or read a decimal? Section 3 In our system of numbering, what is the function of 0? Why do 0's written on the right of a decimal not change its value?
Trailing 0's. Leading 0's. How do we compare decimals? An ordinal number answers the question Which one? Division into equal parts If we divide 15, for example, into three equal parts -- into three 5's -- then we say that 5 is the third part of The decimal system Since our numbering system is based on the powers of 10 , it is called a decimal system. First, we will divide One into ten equal parts, and so each part is called a Tenth. They are the units less than 1 -- they are the parts of 1 -- named as tenths , hundredths , thousandths , ten-thousandths , and so on.
Whole units Decimal units ten. The decimal point separates the whole number on the left from the decimal digits on the right. For example, the number 0. The number Because our system is base ten, a value of 10 in one place is equal to a value of 1 in the place to the left: 10 thousandths is equivalent to 1 hundredth, 10 hundredths is equivalent to 1 tenth, 10 tenths is equivalent to 1 one, and so on.
Example 1. What are the place values for A decimal does not change when zeros are added at the end. For example, 3. It is sometimes tricky to determine which decimal is the larger of two decimals.
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