Chapter 1: Q. 71 (page 37)

In the following exercise, simplify each expression.
(a) $- 7 + (- 4)$
(b) $- 7 + 4$
(c) $7 + (- 4)$

Short Answer

Expert verified

Part (a) The simplified value is $- 11$ .

Part (b) The simplified value is $- 3$ .

Part (c) The simplified value is 3.

Step by step solution

Part (a) Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

$a - b = a + (- b)$

Part (a) Step 2. Calculation.

Add $- 4$ to $- 7$ .

$\begin{array}{rcl} - 7 + (- 4) & = & - 7 - 4 \\ = & - 11 \end{array}$

Part (b) Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

$a - b = a + (- b)$

Part (b) Step 2. Calculation.

Add the opposite of 7 to 4 that is subtract 7 from 4.

$- 7 + 4 = - 3$

Part (c) Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

$a - b = a + (- b)$

Part (c) Step 2. Calculation.

Subtract 4 from 7.

$\begin{array}{rcl} 7 + (- 4) & = & 7 - 4 \\ = & 3 \end{array}$

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In the following exercise, simplify each expression.
(a) $- 7 + (- 4)$
(b) $- 7 + 4$
(c) $7 + (- 4)$

Short Answer

Step by step solution

Part (a) Step 1. Concept Used.

Part (a) Step 2. Calculation.

Part (b) Step 1. Concept Used.

Part (b) Step 2. Calculation.

Part (c) Step 1. Concept Used.

Part (c) Step 2. Calculation.

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In the following exercise, simplify each expression.(a)-7+-4(b)-7+4(c)7+-4

Short Answer

Step by step solution

Part (a) Step 1. Concept Used.

Part (a) Step 2. Calculation.

Part (b) Step 1. Concept Used.

Part (b) Step 2. Calculation.

Part (c) Step 1. Concept Used.

Part (c) Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercise, simplify each expression.
(a) $- 7 + (- 4)$
(b) $- 7 + 4$
(c) $7 + (- 4)$