Can you add 2 hours and 45 minutes to 3 hours and 57 minutes by using decimal numbers (2.45 + 3.57)? Explain.
Also, suppose you want to add 3 feet and 7 inches to 5 feet 6 inches. Can you use decimal numbers so that you can add 3.7 to 5.6 to get the total length?
Explain.
To add/subtract something, they must be in the same units
e.g 5 apples + 8 oranges = 13 appleoranges?
so 2 hrs, 45 minutes
= 2 + 45/60 = 2.75 hrs
3hrs, 57 minutes
= 3 + 57/60 = 3.95 hrs
now you can add them:
2.75+3.95 = 6.7 hrs
= 6 hrs + (7/10)(60) minutes
= 6 hrs, 42 minutes
or
2hr + 3hrs = 5 hrs
45 min + 57 min = 102 minute
= 1 hour + 42 minutes
etc
Same method and explanation for #2
1:42
Yes, we can add 2 hours and 45 minutes to 3 hours and 57 minutes using decimal numbers.
First, let's convert the minutes into decimal form.
45 minutes is equal to 45/60 = 0.75 hours, and 57 minutes is equal to 57/60 = 0.95 hours.
Now, we can add the hours and minutes separately.
2.45 + 3.57 = 5.02
So, the total is 5 hours and 2 minutes.
Regarding adding 3 feet and 7 inches to 5 feet and 6 inches, we cannot directly add the decimal numbers 3.7 and 5.6 to get the total length.
This is because the decimal representation of 3.7 does not accurately represent 3 feet and 7 inches.
Instead, we need to convert the inches into decimal form.
There are 12 inches in a foot, so 7 inches is equal to 7/12 = 0.5833 feet.
Now, we can add the feet and inches separately.
3 + 5 = 8 (feet)
0.5833 + 0.6 = 1.1833 (feet)
So, the total length is 8 feet and 1.1833 feet (which can be further simplified as 8 feet and 1.1833*12 = 14.2 inches).
To add 2 hours and 45 minutes to 3 hours and 57 minutes using decimal numbers, you can convert the hours and minutes into decimals and then perform the addition.
First, convert the minutes into decimals. Since there are 60 minutes in an hour, we can convert the minutes to a fraction of an hour by dividing the number of minutes by 60.
45 minutes ÷ 60 minutes/hour = 0.75 hours
Next, add the converted minutes to the hours:
2.45 hours + 3.57 hours = 6.02 hours
Therefore, the total time is 6 hours and 2 minutes.
Now, let's consider adding 3 feet and 7 inches to 5 feet and 6 inches using decimal numbers.
To convert inches to a fraction of a foot, we divide the number of inches by 12.
7 inches ÷ 12 inches/foot = 0.58 feet
Next, we add the converted inches to the feet:
3.7 feet + 5.6 feet = 9.3 feet
Therefore, the total length is 9 feet and 3 inches.
In summary, you can use decimal numbers to add time or length by converting the minutes or inches to fractions of an hour or foot, respectively, and then performing the addition using decimal numbers.