Equations: Repeating Decimals as Rational #s Honors Math – Grade 7.

Slides:

Advertisements

Similar presentations

In mathematics, numbers are classified according to common characteristics. Every number is classified as belonging to one or more of the following sets.

Advertisements

3.3 Solving Multi-Step Equations. A multi-step equation requires more than two steps to solve. To solve a multi-step equation: you may have to simplify.

MATH 2A CHAPTER ELEVEN POWERPOINT PRESENTATION

Math 025 Section 6.2 Equations. Obj: To solve an equation of the form ax + b = c Problem: Solve 5x + 7 = -8 Solution: 5x + 7 = -8 5x = -8 – 7 5x = -15.

Rational Numbers and Decimals

1.1 Linear Equations A linear equation in one variable is equivalent to an equation of the form To solve an equation means to find all the solutions of.

Fractions and Decimals 5.2. Writing a Fraction as a decimal Divide the numerator by the denominator.

To Start: 10 Points.

Step 1: Simplify Both Sides, if possible Distribute Combine like terms Step 2: Move the variable to one side Add or Subtract Like Term Step 3: Solve for.

Solving Equations with Brackets or Fractions. Single Bracket Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = x = 12 x = 4 Multiply brackets out.

Equivalent Forms of Rational Numbers

Converting Rational Numbers to Fractions

Aim: How do we solve equations with fractional or negative exponents?

Writing Terminating Decimals as Fractions

Negative Exponents SWBAT express powers with negative exponents as decimals; express decimals as powers with negative exponents; simplify expressions with.

Solve the equation -3v = -21 Multiply or Divide? 1.

EXAMPLE 2 Rationalize denominators of fractions Simplify

3.2 Rational Numbers. Rational Number Any number that can be written in the form of a fraction. a and b have to be integers.

Solving Multi-Step Equations by Clearing the Fractions.

Math – The Multiplication/Division Principle of Equality 1.

Vocabulary: Rational number: ANY number that can be written as a FRACTION Every rational number can be written as either a terminating decimal or repeating.

EXAMPLE 2 Solving an Equation Involving Decimals 1.4x – x = 0.21 Original equation. (1.4x – x)100 = (0.21)100 Multiply each side by 100.

Elimination using Multiplication Honors Math – Grade 8.

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

Holt McDougal Algebra 2 Multiplying and Dividing Rational Expressions Multiplying and Dividing Rational Expressions Holt Algebra 2Holt McDougal Algebra.

Lesson 5.3 The rational numbers. Rational numbers – set of all numbers which can be expressed in the form a/b, where a and b are integers and b is not.

Rational Expressions and Equations

2-7 Warm Up Problem of the Day Lesson Presentation

Solving Equations With Fractions

Solving Equations involving Fractions

Repeating Decimal to Fraction Conversion

Steps to Write Decimals as Fractions

Core Focus on Linear Equations

Solving Percent Problems Using Equations

EXAMPLE 2 Rationalize denominators of fractions Simplify

Solving Multi-Step Equations by Clearing the Fractions

Multiplying Decimals 3-6 & 3-7.

Equations Pre/Post Test

Solving Two-Step Equations

Adding and Subtracting Integers is like …

Objective Solve equations in one variable that contain more than one operation.

Lesson 5.1 How do you write fractions as decimals?

2-Digit Subtraction.

Lesson How do you add and subtract fractions?

Lesson 2.1 How do you use properties of addition and multiplication?

One Step Rational Number Equations

Lesson 7.4e Repeating Decimals

Converting Repeating Decimals to Fractions

Solve an equation by combining like terms

Converting Between Fractions & Decimals

QQ1 1. Simplify: -2(x + 3) 2. Simplify: 3[(5 + 72) – 20] = -2x - 6

Multi-Step equations with fractions and decimals

Equations with Fractions

Warmup Find the exact value. 1. √27 2. –√

Equations with Fractions

Objective Solve equations in one variable that contain more than one operation.

Multiplying and Dividing Rational Numbers

Objective Solve equations in one variable that contain more than one operation.

Objective Solve equations in one variable that contain more than one operation.

7 Chapter Rational Numbers as Decimals and Percent

7 Chapter Decimals: Rational Numbers and Percent

Exercise Use long division to find the quotient. 180 ÷ 15.

Rational Numbers Recurring Decimals.

Math-7 NOTES What are Two-Step Equations??

Algebra 1 Section 2.6.

Math-7 NOTES 1) 3x = 15 2) 4x = 16 Multiplication equations:

Addition & Subtraction Addition & Subtraction

One-step addition & subtraction equations: fractions & decimals

Multiplying and Dividing Rational Numbers

Math 9 Honors Section 1.1 Fractions and Decimals

Presentation transcript:

Equations: Repeating Decimals as Rational #s Honors Math – Grade 7

To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step Solve for x.

To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step Solve for x.

To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step Solve for x.

To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step Solve for x.

To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step Solve for x.