Chapter 1: Q 1.49. (page 43)

Multiply $\frac{11}{3} (- 9 a)$ .

Short Answer

Expert verified

$- 33 a$

Step by step solution

Step 1. Given Information

The given expression is $\frac{11}{3} (- 9 a)$ .

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

Since the sign of $\frac{11}{3}$ is positive and the sign of 9ais negative which means the product will be a negative number since the product is negative of the number with different signs.

$\frac{11}{3} (- 9 a) = - \frac{11}{3} (9 a)$

Step 3. Rewrite the given expression.

Since 9ais not in the fraction form, write it as a fraction form by taking 1 as a denominator.

$- \frac{11}{3} (9 a) = - \frac{11}{3} (\frac{9 a}{1})$

Step 4. Multiply and factor the number 9.

Multiply both numerators together and both denominators together.

$- \frac{11}{3} (\frac{9 a}{1}) = - \frac{11 \cdot 9 a}{3 \cdot 1}$

Factor the number 9 so that the common factors can be easily divided out.
Simplify.

$\begin{array}{rcl} - \frac{11 \cdot 9 a}{3 \cdot 1} & = & - \frac{11 \cdot 3 \cdot 3 \cdot a}{3 \cdot 1} \\ = & - \frac{11 \cdot 3 \cdot a}{1} \\ = & - 33 a \end{array}$

Conclusion

The obtained value is $- 33 a$ .

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Multiply $\frac{11}{3} (- 9 a)$ .

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 9.

Conclusion

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Multiply113-9a.

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 9.

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Mechanics Maths

Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Multiply $\frac{11}{3} (- 9 a)$ .