= 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4
To simplify this expression, we need to first find a common denominator for all the fractions involved. The common denominator for 4, 2, and 5 is 20.
= (1/4)(5/5) - (0.5)(20/20) + (1/2)(10/10) - (0.25)(80/80) + (3/5)(4/4) + 0.4
= 5/20 - 10/20 + 10/20 - 20/80 + 12/20 + 0.4
Next, we can combine like terms.
= (5 - 10 + 10 - 20 + 12)/20 + 0.4
= (-3)/20 + 0.4
Finally, we can add the two fractions together.
= -3/20 + 0.4
Since the fractions have different denominators, we need to find a common denominator to add them. The common denominator for 20 and 100 is 100.
= (-3/20)(5/5) + (0.4)(25/25)
= (-15/100) + (10/25)
= (-15/100) + (40/100)
= (-15 + 40)/100
= 25/100
= 1/4
Therefore, 1/4− 0.5 + 1/2 − 0.25 + 3/5 + 0.4 = 1/4.
1/4− 0.5 + 1/2 − 0.25 + 3/5 + 0.4
17 answers
4
1
2
−2−5
2
3
1
2
−2−5
2
3
To simplify the expression 4 - 1 + 2 - (-2) - 5 + 2 + 3, we can combine like terms.
= 4 - 1 + 2 + 2 - 5 + 3
= (4 + 2 + 2 + 3) - 1 - 5
= 11 - 1 - 5
= 10 - 5
= 5
Therefore, the simplified expression is 5.
= 4 - 1 + 2 + 2 - 5 + 3
= (4 + 2 + 2 + 3) - 1 - 5
= 11 - 1 - 5
= 10 - 5
= 5
Therefore, the simplified expression is 5.
The temperature in Antarctica at noon is 14°F. By 9:00PM, the temperature had dropped by 16.2 degrees. What was the temperature at 9:00PM?
A –2.2°F
B 2.2°F
C –30.2°F
D 30.2°F
A –2.2°F
B 2.2°F
C –30.2°F
D 30.2°F
To find the temperature at 9:00 PM, we need to subtract 16.2 degrees from the temperature at noon.
Temperature at 9:00 PM = 14°F - 16.2°F
= -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
The correct answer is A) -2.2°F.
Temperature at 9:00 PM = 14°F - 16.2°F
= -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
The correct answer is A) -2.2°F.
7.829 − 3.21
The difference between 7.829 and 3.21 is:
= 7.829 - 3.21
= 4.619
Therefore, 7.829 - 3.21 = 4.619.
= 7.829 - 3.21
= 4.619
Therefore, 7.829 - 3.21 = 4.619.
75.5 − 32.55
To find the difference between 75.5 and 32.55, we subtract 32.55 from 75.5:
= 75.5 - 32.55
= 42.95
Therefore, 75.5 - 32.55 = 42.95.
= 75.5 - 32.55
= 42.95
Therefore, 75.5 - 32.55 = 42.95.
1/2 − (−3/4)
To subtract -3/4 from 1/2, we can rewrite -3/4 as 3/4:
1/2 - (-3/4) = 1/2 + 3/4
Since the denominators are different, we need to find a common denominator, which is 4:
1/2 + 3/4 = 2/4 + 3/4
Now, we can add the numerators together:
2/4 + 3/4 = (2 + 3)/4
= 5/4
Therefore, 1/2 - (-3/4) = 5/4.
1/2 - (-3/4) = 1/2 + 3/4
Since the denominators are different, we need to find a common denominator, which is 4:
1/2 + 3/4 = 2/4 + 3/4
Now, we can add the numerators together:
2/4 + 3/4 = (2 + 3)/4
= 5/4
Therefore, 1/2 - (-3/4) = 5/4.
42.86 − 23.42
To find the difference between 42.86 and 23.42, we subtract 23.42 from 42.86:
= 42.86 - 23.42
= 19.44
Therefore, 42.86 - 23.42 = 19.44.
= 42.86 - 23.42
= 19.44
Therefore, 42.86 - 23.42 = 19.44.
–5.45 + 4.12 –8.66.
To find the sum of -5.45, 4.12, and -8.66, we add the numbers together:
= -5.45 + 4.12 - 8.66
= -5.45 + (4.12 - 8.66)
We can simplify the expression within the parentheses:
= -5.45 + (-4.54)
Now, we can add the two numbers together:
= -5.45 - 4.54
= -9.99
Therefore, -5.45 + 4.12 - 8.66 = -9.99.
= -5.45 + 4.12 - 8.66
= -5.45 + (4.12 - 8.66)
We can simplify the expression within the parentheses:
= -5.45 + (-4.54)
Now, we can add the two numbers together:
= -5.45 - 4.54
= -9.99
Therefore, -5.45 + 4.12 - 8.66 = -9.99.
32 + (−72.1)
To find the sum of 32 and -72.1, we add the numbers together:
= 32 + (-72.1)
= -40.1
Therefore, 32 + (-72.1) = -40.1.
= 32 + (-72.1)
= -40.1
Therefore, 32 + (-72.1) = -40.1.