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BaLLatris [955]
3 years ago
13

How would you use estimation to evaluate this expression: 10.2 × [(2×3.7)+8]

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
Well, first you would estimate all the terms: 10.2 to 10, 2 to 2(keep the same), 3.7 to 4, and eight to eight.

So you have 10 x [(2 x 4) + 8]
then you would evaluate this expression using order of operations
 
10 x [(2 x 4) + 8]
10 x [8 +  8] 
10 x 16
160
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How many times does the digit 7 appear among the terms of the sequence of consecutive integer numbers 7, 8, 9, ...., 777?
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Answer:

234 times

Step-by-step explanation:

<u>Number of times the number 7 appears in a hundred</u>

7 as units digit (07-17-27 ..... 97): 10 times

7 as tens digit (70-71-72..... 79): 10 times

20 times the digit 7 appears in first one hundred (0-100)

Let's calculate how many times 7 would be as units or tens in 7 hundreds

20X7 = 140 times digit 7 appears until number 699

<u>Now, from 700 to 777</u>

7 as hundreds digit (700-701-702 .... 777): 78 times

7 as tens digit (770-771-772 .... 777): 8 times

7 as units digit (707-717-727....777): 8 times

78 + 8 + 8 = 94 times the digit 7 appears in the range 700 - 777. Plus 140 times

140 + 94 = 234 times

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But mathematically, you would say it as:

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