Grade C Terminating decimals and fractions Convert between

Grade C Terminating decimals and fractions Convert between and work with terminating decimals and their equivalent fractions (including ordering). If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key vocabulary Fraction Terminate Recurring Decimal Equivalent

How to identify a terminating decimal and their equivalent fractions Is the same as 3÷ 8 0. 375 8) 3. 0 0 0 - 0 3 0 8 x 3=24 - 2 4 6 0 8 x 7=56 - 5 6 4 0 8 x 5=40 - 4 0 0 Terminating decimal: A decimal that has finite numbers and ends Is the same as 5÷ 6 0. 8 3 3…. . 6) 5. 0 0 0 - 0 5 0 6 x 8=48 - 4 8 2 0 6 x 3=18 - 1 8 2 Recurring decimal: A decimal fraction in which a figure or group of figures repeat indefinitely

How to identify a terminating decimal and their equivalent fractions Start by converting each fraction into a decimal 0. 125 8) 1. 0 0 0 - 0 1 0 8 x 1=8 - 8 2 0 8 x 2=16 - 1 6 4 0 8 x 5=40 - 4 0

How to identify a terminating decimal and their equivalent fractions

How to change recurring decimals into fractions • Subtract the two Divide both sides by 99

How to change recurring decimals into fractions • Subtract the two Divide both sides by 90 ÷ 6 Simplify the fraction ÷ 6

Terminating decimals and their equivalent fractions- Now you try… •

Terminating decimals and their equivalent fractions- Now you try… • = 0. 142… 1. 5 = 1. 5 0. 04 = 0. 27… 0. 60 = 17. 75 = 0. 6333…. . 0. 266… = 1. 125 = 0. 42 = 0. 04 =0. 60

Problem solving and reasoning •

Problem solving and reasoning • 40 x 6= 240 40 x 7=280 40 x 5=200 0. 675 40) 2 7. 0 0 0 - 0 2 7 0 - 2 4 0 2 0 0 - 2 8 0 2 0 0 - 2 0 0 0 Sally had the highest result and scored 1 mark more than Tim

Reason and explain •