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Andrej [43]
3 years ago
11

Round 6.75 to the nearest hour

Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

6.75 hour is approximated to 7 hours

Step-by-step explanation:

Given

Time = 6.75 hours

Required

Round to the nearest hour

The time given is given in base 10 and the conversion can be done in two ways.

1. Convert directly by approximation.

Approximating 6.75 to the nearest whole number gives 7.

Hence, 6.75 hours = 7 hours

2. Convert to time equivalent then approximate time

This is done as follows

6.75 hours = 6 hours + 0.75 hour

Convert decimal to fraction

6.75 hours = 6 hours + \frac{75}{100} hour

Simplify to lowest term

6.75 hours = 6 hours + \frac{3}{4} hour

Convert hour to minute

There are 60 minutes in an hour

6.75 hours = 6 hours + \frac{3}{4} * 60 minutes

6.75 hours = 6 hours + 3 * 15 minutes

6.75 hours = 6 hours + 45 minutes

The rule of time approximation is that; if the minutes is between 0 and 29, it'll be rounded to 0; else, it'll be rounded up to 1

Going by the rule, 45 minutes will be approximated to 1 hour.

This gives

6.75 hours \frac{=}{} 6 hours + 1 hour

6.75 hour \frac{=}{} 7 hours

Hence, 6.75 hour is approximated to 7 hours

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Answer:

A. 2^11

Step-by-step explanation:

(They are basically asking what's 2^4 × 2^7, but with more words.)

I usually do each exponent individually:

2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)

2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.

BUT, you can also:

(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)

2^4 × 2^7

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Hope this helps friend :)

The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.

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Step-by-step explanation:

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