Determine which of the following numbers is larger than :
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Determine which of the following numbers is larger than :
In order to determine the correct answer, let's first add 0 to the number 0.31 in the following way:
In other words, we need to find a number that is greater than 310
Let's observe the answers:
0.311 - Given that the thousandths digit is 1 and 1 is greater than 0, this is the correct answer.
0.309 - Due to the fact that the hundredths digit is 0 and 0 is less than 1, this is not the correct answer.
0.3 - If we add two zeros we obtain the number 0.300. Given that the hundredths digit is 0 and 0 is less than 1, this is not the correct answer.
0.31 - If we add 0 to the number we obtain 0.310. Due to the fact that the thousandths digit is 0 and 0 is less than 1, this is not the correct answer.
Which decimal number is greater?
Adding trailing zeros doesn't change the value! because the zeros represent no additional value in those decimal places.
Make them the same length by adding zeros, then compare digit by digit. For example: vs , so 0.31 is larger.
Always start with the leftmost digit after the decimal point (tenths place), then move right to hundredths, then thousandths, and so on.
Keep moving right! Compare the thousandths place next. Like comparing 0.310 and 0.311 - since 1 > 0 in the thousandths place, 0.311 is larger.
Yes, but it's usually harder! and . The place value method is much faster for decimal comparison.
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