Select which of the following numbers is greater in value than:
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Select which of the following numbers is greater in value than:
In order to determine the correct answer, compare the numbers in order to determine the largest one:
Let's observe the answers:
0.19 - By adding another 0 we can compare 0.190 to 0.201. The tenths digit is 1 and 1 is less than 2, this is not the correct answer.
0.199 - Since the tenths digit is 1 and 1 is less than 2, this is not the correct answer.
0.2 - If we add two zeros and compare 0.200 to 0.201, since the thousandths digit is 0 and 0 is less than 1, this is not the correct answer
0.202 - Given that the thousandths digit is 2 and 2 is greater than 1, this is the correct answer.
Are they the same numbers?
\( 0.1\stackrel{?}{=}0.10 \)
When comparing decimals, add trailing zeros to make comparison easier: 0.200 vs 0.201. Now you can see that in the thousandths place, 0 < 1, so .
Add trailing zeros to make all numbers have the same number of decimal places. For example: 0.19 becomes 0.190, then compare vs .
Line up the decimal points vertically and compare digit by digit from left to right. The first place where digits differ determines which number is larger.
Both have the same tenths digit (2 and 1), but has 2 in the thousandths place while has 1. Since 2 > 1, we have . For 0.199, the tenths digit 1 < 2, so it's smaller.
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