Terrific Tuesday!! Find Seat Sharpen Pencil Open notebook, write today’s date, and write today’s topic: “Rational Numbers” Once done, sit quietly and wait.

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Presentation transcript:

Terrific Tuesday!! Find Seat Sharpen Pencil Open notebook, write today’s date, and write today’s topic: “Rational Numbers” Once done, sit quietly and wait for instructions

Rational Numbers EQ: How do rational numbers apply to the world around us? CCES: 7.NS.2d, 7.EE.3, MP.1, MP. 2, MP.6 Objective: I will know how to convert fractions to decimals and decimals to fractions

Brainstorm Take 1 min to… Write down every thing you know about fractions and decimals. Exchange papers Place a check by everything you agree with and circle what you don’t agree with. Give paper back and discuss and come up with a final conclusion about each.

What is a rational number? Rational number - any number that can be written as a fraction. Fraction – a number written in the form of a/b, where a & b are integers. Why is this? Decimal – a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point the system of decimal numerical notation. Repeating Terminating

Activity: Write a fraction for each of the models below.

Rational Numbers in the Real World

What fraction of the rectangle is green? What decimal part of the rectangle is green?.6

Decimals to Fractions

To write a decimal as a fraction, write the fraction as you would say the decimal tenths Hundredths Thousandths Ten-thousandths Hundred- thousandths

Say the decimal….Write it as a fraction Notice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!)

Write.6 as a fraction.6 = Can be simplified to:.6 =

What about fractions to decimals? You can write a fraction as a decimal by dividing the numerator by the denominator…..the fraction symbol means division!

To make a decimal…do the division!

One more thing……… When you divide, REMEMBER, add zeros to finish your division. 2 THINGS CAN HAPPEN

The division problem ends A Terminating decimal The division problem goes on forever….Repeating decimal

Repeating Decimals A single digit might repeat…..3333…. Or a group of digits might repeat… ….

Show repeating decimals by placing a line over the digit or group of digits that repeats.33333…. Becomes.3 And ….becomes.275

Remember Will be will be Simplified to: Whole numbers stay the same!

Practice Convert the following to a decimal: 5/7, 2/3, 1 ½, 4/5 Convert the following to a fraction:.125,.75, 1.60, 2.25

Adding and Subtracting Video time!

Homework

Let’s review…