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Chapter 4: Q50. (page 158)

Find the value of each expression.
50. $8 + (- 5)$

Short Answer

Expert verified

The valueof $8 + (- 5)$ is 3.

Step by step solution

– Description of step.

Write 8 as $3 + 5$ into $8 + (- 5)$ .

$3 + 5 + (- 5)$

– Inverse property.

For any real number $a$ , $a + (- a) = 0 = (- a) + a$ .

– Apply inverse property.

Apply inverse property to the expression in step 1 and simplify.

$3 + 0 = 3$

Therefore, the value of $8 + (- 5)$ is 3.

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Most popular questions from this chapter

Use matrices $A$ , $B$ , $C$ and $D$ to find the following.

$A = [\begin{matrix} 5 & 7 \\ - 1 & 6 \\ 3 & - 9 \end{matrix}], B = [\begin{matrix} 8 & 3 \\ 5 & 1 \\ 4 & 4 \end{matrix}], C = [\begin{matrix} 0 & 4 \\ - 2 & 5 \\ 7 & - 1 \end{matrix}], D = [\begin{matrix} 6 & 2 \\ 9 & 0 \\ - 3 & 0 \end{matrix}]$

25. $D - B$

State the dimensions of each matrix.

11. $[\begin{matrix} 7 \\ 8 \\ 9 \end{matrix}]$

Determine the row and column which 100 occur.

$[\begin{matrix} 1 & 3 & 6 & 10 & 15 & \dots \\ 2 & 5 & 9 & 14 & 20 & \dots \\ 4 & 8 & 13 & 19 & 26 & \dots \\ 7 & 12 & 18 & 25 & 33 & \dots \\ 11 & 17 & 24 & 32 & 41 & \dots \\ 16 & 23 & 31 & 40 & 50 & \dots \\ ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ \end{matrix}]$

Determine whether each matrix product is defined. If so, state the dimensions of the product.

$P_{1 \times 3} \cdot Q_{4 \times 1}$

For Exercises 36-39, use the following price list for one-day admissions to the community pool.

39. Find the matrix that represents the difference in cost if a child or adult goes to pool after 6:00 P.M.

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Find the value of each expression.50. 8+-5

Short Answer

Step by step solution

– Description of step.

– Inverse property.

– Apply inverse property.

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Most popular questions from this chapter

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Find the value of each expression.
50. $8 + (- 5)$