Chapter 1: Q 1.50. (page 43)

Multiply $\frac{13}{7} (- 14 b)$ .

Short Answer

Expert verified

$- 26 b$

Step by step solution

Step 1. Given Information

The given expression is $\frac{13}{7} (- 14 b)$ .

Step 2. Check whether the sign of the product of the given numbers is negative or positive.

Since the sign of $\frac{13}{7}$ is positive and the sign of 14bis negative which means the product will be a negative number since the product is negative of the number with different signs.

$\frac{13}{7} (- 14 b) = - \frac{13}{7} (14 b)$

Step 3. Rewrite the given expression.

Since 14bis not in the fraction form, write it as a fraction form by taking 1 as a denominator.

$- \frac{13}{7} (14 b) = - \frac{13}{7} (\frac{14 b}{1})$

Step 4. Multiply and factor the number 14.

Multiply both numerators together and both denominators together.

$- \frac{13}{7} (\frac{14 b}{1}) = - \frac{13 \cdot 14 b}{7 \cdot 1}$

Factor the number 14 so that the common factors can be easily divided out.
Simplify.
$\begin{array}{rcl} - \frac{13 \cdot 14 b}{7 \cdot 1} & = & - \frac{13 \cdot 7 \cdot 2 \cdot b}{7 \cdot 1} \\ = & - \frac{13 \cdot 2 \cdot b}{1} \\ = & - 26 b \end{array}$

Step 5. Conclusion

The obtained value is $- 26 b$ .

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Multiply $\frac{13}{7} (- 14 b)$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Check whether the sign of the product of the given numbers is negative or positive.

Step 3. Rewrite the given expression.

Step 4. Multiply and factor the number 14.

Step 5. Conclusion

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Multiply137-14b.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Check whether the sign of the product of the given numbers is negative or positive.

Step 3. Rewrite the given expression.

Step 4. Multiply and factor the number 14.

Step 5. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Multiply $\frac{13}{7} (- 14 b)$ .