3.1 — Fractions to Decimals

Remember…

Numbers can be written in both fraction and decimal form.

  • For example, 3 can be written as 3/1 and 3.0.

A fraction illustrates division;

  • 1/10 means 1 divided by 10. 1/10 is 0.1 in decimal form.
    3/100 means 3 divided by 100. 3/100 is 0.03 in decimal form.
    45/1000 means 45 divided by 1000. 45/1000 is 0.045 in decimal form.

Decimals, such as 0.1 and 0.25, are terminating decimals. Each decimal has a definite number of decimal places.

Decimals, such as 0.33333333…; 0.45454545….; 0.81111111… are repeatingdecimals. Some digits in each repeating decimal repeat forever. We draw a bar over the digits that repeat

Patterns sometimes occur when we write fractions in decimal form.

  • For example: 1/99  =  0.01           2/99 = 0.02            15/99 = 0.15                43/99 = 0.43
  • For fractions with a denominator of 99, the digits in the numerator of the fraction are the    repeating digits in the decimal.
  • We can use this pattern to make predictions.

3.1 Teaching File — This is the teaching file that I did with my students last year.

3.1 Answers

3-1-teaching-2016  — This is the file from Oct. 6, 2016

 

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