Question

1/4− 0.5 + 1/2 − 0.25 + 3/5 + 0.4

Answer 1

[AI-generated answer — Bot GPT 3.5]

= 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.

Answer 2

4

1
2
−2−5
2
3

Answer 3

[AI-generated answer — Bot GPT 3.5]

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.

Answer 4

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

Answer 5

[AI-generated answer — Bot GPT 3.5]

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.

Answer 6

7.829 − 3.21

Answer 7

[AI-generated answer — Bot GPT 3.5]

The difference between 7.829 and 3.21 is:

= 7.829 - 3.21
= 4.619

Therefore, 7.829 - 3.21 = 4.619.

Answer 8

75.5 − 32.55

Answer 9

[AI-generated answer — Bot GPT 3.5]

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.

Answer 10

1/2 − (−3/4)

Answer 11

[AI-generated answer — Bot GPT 3.5]

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.

Answer 12

42.86 − 23.42

Answer 13

[AI-generated answer — Bot GPT 3.5]

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.

Answer 14

–5.45 + 4.12 –8.66.

Answer 15

[AI-generated answer — Bot GPT 3.5]

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.

Answer 16

32 + (−72.1)

Answer 17

[AI-generated answer — Bot GPT 3.5]

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.