Comparing decimals place value

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Decimal number is placing a decimal point between the digits. The first number next to the decimal point is called the tenth place value. The second number next to the decimal point is called the hundredth place value. The third number next to the decimal point is called the thousandth place value and so on. If the given decimal numbers are equal to each other they are represented by ‘=’. If the given decimal numbers are greater than each other they are represented by ‘>’.  If the given decimal numbers are less than each other they are represented by ‘<’.

Example 1: Compare the two decimal numbers 15.45 and 15.42?
Solution: Given are two decimal numbers 15.45 and 15.42.
Both the decimal numbers have the same whole number part 15.
Now compare the tenth decimal place for both the numbers have 4.
Compare the hundredths place for the number 15.45 that’s 5 and 15.42 that’s 2. (5 > 2).
The hundredth place of 15.45 > hundredth place of 15.42.
Hence 15.45 > 15.42.
 
Question: Multiple choice question (Pick the correct option.)
Compare the two decimal numbers 6.5 and 6.9? How are they related?
a)    Greater                      b) Lesser                  c) equal                     d) none of these.
Correct answer: option a.
Explanation: Given are two decimal numbers 6.5 and 6.9.
Both the decimal numbers have the same whole number part 6.
Compare the tenth place for the number 6.5 that’s 5 and 6.9 that’s 9.
The number 5 < 9.
The tenth place of 6.5 < tenth place of 6.9.
Hence 6.5 < 6.9.

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