Question

1. Evaluate 6.314 - 9.77.

3.456
-3.464
-3.456
-16.084

2. Evaluate -5.118 - (-4.1).

-9.218
-1.018
1.018
9.218

3. Find the value of x + y for x = 75.9 and y = 2.65.

10.24
102.4
78.55
79.55

4. Find the value of -x + y for x = 75.9 and y = 2.65.

-78.55
78.55
73.25
-73.25

Answer 1

Evaluate 6.314 - 9.77.

3.456
-3.464
-3.456 ☆
-16.084

2. Evaluate -5.118 - (-4.1).

-9.218
-1.018 ☆
1.018
9.218

3. Find the value of x + y for x = 75.9 and y = 2.65.

10.24
102.4
78.55 ☆
79.55

4. Find the value of -x + y for x = 75.9 and y = 2.65.

-78.55
78.55
73.25
-73.25☆

Answer 2

1. -3.456

2. -1.018

3. 78.55

4. -73.25

Explanation:

In Algebra, the following notations have to be considered.

Algebra is a branch of mathematics that deals with the computation of numbers irrespective of the signs involved.

- × - = +

+ × - = -

- × + = -

+ × + = +

Therefore,

1. 6.314 - 9.77 = -3.456

2. -5.118 - (-4.1) = -5.118 + 4.1 = -1.018

3. x + y for x = 75.9 and y = 2.65.

This requires substitution

75.9 + 2.65 = 78.55

4. -x + y for x = 75.9 and y = 2.65

= -75.9 + 2.65

= -73.25