Where we put > < or = in decimals
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We put > to show that the number on left is greater when we put < we show that the number on right is greater when we put = we show both the number are equal and we put decimal the get the accurate answer in division or sometimes we put becoz we need the accurate amount or measures of something
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Example 1: Polygon Pizza Place caters children's parties with square-shaped pizza. Each pizza is exactly the same size and is divided into equal parts called slices. At Sam's party, each child had 2 out of 10 slices from a single pizza. At Elena's party, each child had 15 out of 100 slices from a single pizza. At which party did each child have more pizza?
Analysis: We can write a fraction to represent each party:
Party Fraction Sam's Elena's
Using our knowledge of decimals, we get:
Party Fraction Decimal Sam's 0.2X Elena's 0.15
Answer: Each child got more pizza at Sam's Party.
In Example 1, we compared two decimal numbers and found that 0.2 is greater than 0.15. Some students would argue that 0.15 is a longer decimal with more digits, and is therefore greater than 0.2. However, if we think about money, we know that 20 cents is greater than 15 cents. Thus, our answer in Example 1 is correct.
Decimal numbers are compared in the same way as other numbers: by comparing the different place values from left to right. We use the symbols <, > and = to compare decimals as shown below.
ComparisonMeaning0.2 > 0.150.2 is greater than 0.150.15 < 0.20.15 is less than 0.20.2 = 0.20.2 is equal to 0.20.15 = 0.150.15 is equal to 0.15
When comparing two decimals, it is helpful to write one below the other. This is shown in the next example.
Example 2; Which is greater, 0.57 or 0.549?
Analysis: Let's compare these decimals using a place-value chart.
0.57 0 0.549
Answer: 0.57 is greater than 0.549.
Notation: 0.57 > 0.549
As you can see in the example above, 0.57 has fewer decimal digits than 0.549. It is easier to compare two decimals when you have the same number of decimal digits, so an extra zero was written to the right of the digit 7 in the decimal 0.57. We are able to do this because 0.57 and 0.570 are equivalent decimals.
Use Caution With Writing Extra Zeros
It is easier to compare decimals when you have the same number of decimal digits. Thus, we often write extra zeros to the right of the last digit of one of the decimals being compared. These extra zeros are place holders and do not change the value of the decimal. However, if you inserted a zero between the decimal point and a decimal digit, thatwould change the value of the decimal. This is shown in the table below:
0.57=0.570=0.5700 - Writing extra zeros to the right of the last digit of a decimal does not change its value.
0.57≠0.507≠0.057 = Inserting a zero between the decimal point and a decimal digit does change the value of a decimal.
Let's look at some more examples of comparing decimals.
Example 3: Compare each pair of decimals using the symbols <, > or =.
I hope this is ans useful
Analysis: We can write a fraction to represent each party:
Party Fraction Sam's Elena's
Using our knowledge of decimals, we get:
Party Fraction Decimal Sam's 0.2X Elena's 0.15
Answer: Each child got more pizza at Sam's Party.
In Example 1, we compared two decimal numbers and found that 0.2 is greater than 0.15. Some students would argue that 0.15 is a longer decimal with more digits, and is therefore greater than 0.2. However, if we think about money, we know that 20 cents is greater than 15 cents. Thus, our answer in Example 1 is correct.
Decimal numbers are compared in the same way as other numbers: by comparing the different place values from left to right. We use the symbols <, > and = to compare decimals as shown below.
ComparisonMeaning0.2 > 0.150.2 is greater than 0.150.15 < 0.20.15 is less than 0.20.2 = 0.20.2 is equal to 0.20.15 = 0.150.15 is equal to 0.15
When comparing two decimals, it is helpful to write one below the other. This is shown in the next example.
Example 2; Which is greater, 0.57 or 0.549?
Analysis: Let's compare these decimals using a place-value chart.
0.57 0 0.549
Answer: 0.57 is greater than 0.549.
Notation: 0.57 > 0.549
As you can see in the example above, 0.57 has fewer decimal digits than 0.549. It is easier to compare two decimals when you have the same number of decimal digits, so an extra zero was written to the right of the digit 7 in the decimal 0.57. We are able to do this because 0.57 and 0.570 are equivalent decimals.
Use Caution With Writing Extra Zeros
It is easier to compare decimals when you have the same number of decimal digits. Thus, we often write extra zeros to the right of the last digit of one of the decimals being compared. These extra zeros are place holders and do not change the value of the decimal. However, if you inserted a zero between the decimal point and a decimal digit, thatwould change the value of the decimal. This is shown in the table below:
0.57=0.570=0.5700 - Writing extra zeros to the right of the last digit of a decimal does not change its value.
0.57≠0.507≠0.057 = Inserting a zero between the decimal point and a decimal digit does change the value of a decimal.
Let's look at some more examples of comparing decimals.
Example 3: Compare each pair of decimals using the symbols <, > or =.
I hope this is ans useful
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