Determine which of the following numbers is larger than :
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Determine which of the following numbers is larger than :
Observe the number 0.41 . We can see that it equals 0.41
Therefore this is not the correct answer.
Observe the number 0.405. The number after the decimal point is identical meaning 4 equals 4 however the number 0 is less than 1
Therefore this is not the correct answer.
Let's look at the number 0.4, we'll add 0 to it to obtain the number 0.40. Now let's look at the numbers after the decimal point, 4 equals 4 and 0 is less than 1
Therefore this is not the correct answer.
Let's look at the number 0.42. We can see that the number after the decimal point is 4, and the number after it is 2. Since 2 is greater than 1
Therefore this is the correct answer
Are they the same numbers?
\( 0.1\stackrel{?}{=}0.10 \)
Great question! Think of 0.4 as 0.40. Now compare: the tenths place is the same (4 = 4), but the hundredths place shows 0 < 1, so .
More digits doesn't mean bigger! Compare place by place: tenths are equal (4 = 4), but hundredths show 0 < 1. Since we found a difference, 0.405 is smaller than 0.41.
Use the place value method:
Yes! and . Since 42 > 41, we know . This method works great for checking your answer!
No problem! Just add zeros to the shorter decimal. For example: 0.4 becomes 0.40, then compare with 0.41. The zeros don't change the value but make comparison easier.
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