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Answer :
Sure! Let's go through each statement and determine which ones are true:
1. 95 is 5 less than 100.
- This statement is true because when you subtract 5 from 100, you get 95. So, 95 is indeed 5 less than 100.
2. 76 can be separated into [tex]\(5 + 71\)[/tex].
- This statement is true because if you add 5 and 71 together, you get 76. Therefore, 76 can be separated into 5 and 71.
3. [tex]\(95 + 5 + 76\)[/tex] is the same as [tex]\(95 + 76\)[/tex].
- This statement is false. If you add 5 to 95, you get 100, and adding 76 to that gives you 176. However, 95 + 76 equals 171. Hence, these two expressions are not equal.
4. [tex]\(95 + 5 + 71\)[/tex] is the same as [tex]\(95 + 76\)[/tex].
- This statement is true. Here, you are first adjusting 76 by breaking it into [tex]\(5 + 71\)[/tex]. Adding the 5 back to 95 makes it 100, then adding 71 gives you 171, which is the same as 95 + 76.
5. [tex]\(95 + 76 = 181\)[/tex].
- This statement is true based on the initial analysis. When you add 95 and 76 together, the sum is indeed 171.
So, the true statements about adding 95 and 76 mentally are the first, second, fourth, and fifth statements.
1. 95 is 5 less than 100.
- This statement is true because when you subtract 5 from 100, you get 95. So, 95 is indeed 5 less than 100.
2. 76 can be separated into [tex]\(5 + 71\)[/tex].
- This statement is true because if you add 5 and 71 together, you get 76. Therefore, 76 can be separated into 5 and 71.
3. [tex]\(95 + 5 + 76\)[/tex] is the same as [tex]\(95 + 76\)[/tex].
- This statement is false. If you add 5 to 95, you get 100, and adding 76 to that gives you 176. However, 95 + 76 equals 171. Hence, these two expressions are not equal.
4. [tex]\(95 + 5 + 71\)[/tex] is the same as [tex]\(95 + 76\)[/tex].
- This statement is true. Here, you are first adjusting 76 by breaking it into [tex]\(5 + 71\)[/tex]. Adding the 5 back to 95 makes it 100, then adding 71 gives you 171, which is the same as 95 + 76.
5. [tex]\(95 + 76 = 181\)[/tex].
- This statement is true based on the initial analysis. When you add 95 and 76 together, the sum is indeed 171.
So, the true statements about adding 95 and 76 mentally are the first, second, fourth, and fifth statements.
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Rewritten by : Barada
A. 95 is 5 less than 100.
B. 76 can be separated into 5 + 71.
C. 95 + 5 + 71 is the same as 95 + 76.
