Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 2: Q46. (page 105)

Solve the equations $0.1 x = 1, 鈥� 鈥� 0.01 鈥� x = 1, 0.001 鈥� x = 1 鈥� a n d 鈥� 鈥� 鈥� 0.0001 x = 1$ . What happens to the solutions as the coefficients of x get closer to 0?

Short Answer

Expert verified

The value of xincreases as coefficient of $x$ gets closer to 0.

Step by step solution

Step-1- Solving first equation

$0.1 x = 1$

Dividing with $0.1$ on both sides, we get

$\begin{array}{l} \frac{0.1 x}{0.1} = \frac{1}{0.1} \\ x = \frac{1}{0.1} \\ x = 10 \end{array}$

Step-2-Solving second equation

$0.01 x = 1$

Dividing with $0.01$ on both sides, we get

$\begin{array}{l} \frac{0.01 x}{0.01} = \frac{1}{0.01} \\ x = \frac{1}{0.01} \\ x = 100 \end{array}$

Step-3-Solving third equation

$0.001 x = 1$

Dividing with $0.001$ on both sides, we get

$\begin{array}{l} \frac{0.001 x}{0.001} = \frac{1}{0.001} \\ x = \frac{1}{0.001} \\ x = 1000 \end{array}$

Therefore, the value of xincreases as coefficient of $x$ gets closer to 0.

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91影视

Solve the equations $0.1 x = 1, 鈥� 鈥� 0.01 鈥� x = 1, 0.001 鈥� x = 1 鈥� a n d 鈥� 鈥� 鈥� 0.0001 x = 1$ . What happens to the solutions as the coefficients of x get closer to 0?

Short Answer

Step by step solution

Step-1- Solving first equation

Step-2-Solving second equation

Step-3-Solving third equation

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91影视

Solve the equations 0.1x=1,鈥�鈥�0.01鈥�x=1,0.001鈥�x=1鈥�and鈥�鈥�鈥�0.0001x=1. What happens to the solutions as the coefficients of x get closer to 0?

Short Answer

Step by step solution

Step-1- Solving first equation

Step-2-Solving second equation

Step-3-Solving third equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Pure Maths

Discrete Mathematics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve the equations $0.1 x = 1, 鈥� 鈥� 0.01 鈥� x = 1, 0.001 鈥� x = 1 鈥� a n d 鈥� 鈥� 鈥� 0.0001 x = 1$ . What happens to the solutions as the coefficients of x get closer to 0?