Question
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compare two numbers (2 choices \( 4.77<4.47 \) \( 3.58>3.85 \) \( 11.12<111.2 \) \( \square 63.9>59.6 \) \( 89.6=89.06 \)

Ask by Bolton Barber. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The correct comparisons are: - 11.12 < 111.2 - 63.9 > 59.6

Solution

Let’s examine each comparison one by one: 1. 4.77 < 4.47  • Since 4.77 is actually greater than 4.47, this statement is incorrect. 2. 3.58 > 3.85  • Here, 3.58 is less than 3.85, so this statement is also incorrect. 3. 11.12 < 111.2  • Comparing 11.12 and 111.2, notice that 11.12 has two digits before the decimal point while 111.2 has three. Therefore, 11.12 is indeed less than 111.2, making this statement correct. 4. □ 63.9 > 59.6  • The comparison 63.9 > 59.6 is correct because 63.9 is greater than 59.6. 5. 89.6 = 89.06  • Since 89.6 (which is the same as 89.60) is greater than 89.06, the equality does not hold and this statement is incorrect. Thus, out of the choices given, the two correct comparisons are:  • 11.12 < 111.2  • 63.9 > 59.6

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The Deep Dive

Let's warm up those brain gears! While comparing \(4.77\) and \(4.47\), we must remember that the value to the left of the decimal has a significant impact. Here, \(4.77\) is indeed greater than \(4.47\), so the first comparison is incorrect. Similarly, when checking \(3.58\) and \(3.85\), we spot that \(3.58\) is lesser, so that comparison also doesn't hold true. Now let’s tackle \(11.12\) and \(111.2\). The former, with only two digits after the decimal, is definitely lesser than the latter, a three-digit number ahead of the decimal point. It’s clear that the third comparison is also false! Moving on to \(63.9\) and \(59.6\), our last one, \(63.9\) shines brightly, proving to be greater than \(59.6\). Lastly, comparing \(89.6\) and \(89.06\) shows us that \(89.6\) has that sneaky extra value, making it greater. So the only correct statement here is \(63.9>59.6\)!

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