How Do You Solve a Decimal Inequality Using Division with Negative Numbers?

How Do You Solve a Decimal Inequality Using Division with Negative Numbers?

Note:

To solve an inequality containing decimals for a variable, focus on isolating that variable on one side of the inequality. In this tutorial, you'll see how to divide decimals in order to isolate the variable and find the answer to the inequality. Just be sure to follow the division property of inequality!

Keywords:

  • decimals
  • inequality
  • using division
  • division
  • variable
  • solve
  • solve for variable
  • isolate variable
  • dividing decimals
  • long division
  • negative
  • inequality flipping
  • multiplication property of inequality

Background Tutorials

  • Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

      • How Do You Divide a Decimal by a Decimal?How Do You Divide a Decimal by a Decimal?

      How Do You Divide a Decimal by a Decimal?

      Dividing decimals? Then this tutorial is a must see! Follow along and learn how you can divide decimals by rewriting the problem as a fraction and then using long division to solve. Check it out!

  • Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

      • What's an Inequality?What's an Inequality?

      What's an Inequality?

      Inequalities come up all the time when you're working algebra problems. In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :)

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

      • How Do You Figure Out the Sign of a Product or Quotient?How Do You Figure Out the Sign of a Product or Quotient?

      How Do You Figure Out the Sign of a Product or Quotient?

      Multiplying and dividing numbers takes a good amount of thinking, and it's easy to make a mistake. But you can make sure that you're on the right track if you check whether the answer should be positive or negative. In this tutorial you'll see exactly how to tell if your answer will be positive or negative, even if you don't know the exact value of the answer. That way you'll always be able to check your answers!

Further Exploration

  • Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

      • How Do You Solve a Decimal Inequality Using Addition?How Do You Solve a Decimal Inequality Using Addition?

      How Do You Solve a Decimal Inequality Using Addition?

      To solve an inequality containing decimals for a variable, focus on isolating that variable on one side of the inequality. In this tutorial, you'll see how to add decimals in order to isolate the variable and find the answer to the inequality!