Chapter 1: Q 129. (page 39)

In the following exercises, translate to an algebraic expression and simplify if possible.
(a) The difference of 10 and $- 18$
(b) Subtract 11 from $- 25$

Short Answer

Expert verified

Part (a) The statement can be translated as $10 - (- 18)$ and the simplified value is 28.

Part (b) The statement can be translated as $- 25 - 11$ and the simplified value is $- 36$ .

Step by step solution

Part (a). Step 1. Concept Used.

The phrase "The difference of $a$ and $b$ " indicates the operation of subtraction and is rewritten as $a - b$ .

Part (a). Step 2. Write the given statement using mathematical notations.

The difference of 10 and $- 18$ can be rewritten as

$10 - (- 18)$

Part (a). Step 3. Simplify.

Rewrite the obtained expression by using the subtraction property, $a - b = a + (- b)$ .

$\begin{array}{rcl} 10 - (- 18) & = & 10 + (- (- 18)) \\ = & 10 + 18 \end{array}$

Add 10 and 18.

$10 + 18 = 28$

Part (a). Step 4. Conclusion.

The given statement can be translated as $10 - (- 18)$ and the simplified value is 28.

Part (b). Step 1. Concept Used

The phrase "Subtract $a$ from $b$ " can be written as $b - a$ .

Part (b). Step 2. Write the given statement using mathematical notations.

The given statement "subtract 11 from $- 25$ " can be written as

$- 25 - 11$

Part (b). Step 3. Simplify.

Subtract 11 positives from 25 negatives.

$- 25 - 11 = - 36$

Part (b). Step 4. Conclusion.

The given statement can be translated as $- 25 - 11$ and the simplified value is $- 36$ .

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In the following exercises, translate to an algebraic expression and simplify if possible.
(a) The difference of 10 and $- 18$
(b) Subtract 11 from $- 25$

Short Answer

Step by step solution

Part (a). Step 1. Concept Used.

Part (a). Step 2. Write the given statement using mathematical notations.

Part (a). Step 3. Simplify.

Part (a). Step 4. Conclusion.

Part (b). Step 1. Concept Used

Part (b). Step 2. Write the given statement using mathematical notations.

Part (b). Step 3. Simplify.

Part (b). Step 4. Conclusion.

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In the following exercises, translate to an algebraic expression and simplify if possible.(a) The difference of 10 and-18(b) Subtract 11 from-25

Short Answer

Step by step solution

Part (a). Step 1. Concept Used.

Part (a). Step 2. Write the given statement using mathematical notations.

Part (a). Step 3. Simplify.

Part (a). Step 4. Conclusion.

Part (b). Step 1. Concept Used

Part (b). Step 2. Write the given statement using mathematical notations.

Part (b). Step 3. Simplify.

Part (b). Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercises, translate to an algebraic expression and simplify if possible.
(a) The difference of 10 and $- 18$
(b) Subtract 11 from $- 25$