# Grade FG Ordering numbers Compare and order positive

Grade F/G Ordering numbers Compare and order positive and negative integers, decimals and fractions, including using the symbols =, ≠, <, >, ≤, ≥ If you have any questions regarding these resources or come across any errors, please contact [email protected] org. uk

Key vocabulary Ordering Decimal Fraction Integer More than Less than

How to compare fractions, decimals and percentages There are three different ways of writing exactly the same number; as a fraction, decimal or percentage. Here are some examples:

How to compare fractions, decimals and percentages Here are some common fractions, decimals and percentages you need to know Fraction Decimal Percentage 0. 5 50% 0. 25 25% 0. 75 75% 0. 2 20% 0. 1 10%

How to compare fractions, decimals and percentages Is the same as 3÷ 8 8 x 3=24 8 x 7=56 8 x 5=40 0. 375 8) 3. 0 0 0 - 0 3 0 - 2 4 60 5 6 40 40 0 Is the same as 5÷ 6 6 x 8=48 6 x 3=18 0. 8 3 3…. . 6) 5. 0 0 0 - 0 5 0 - 4 8 20 18 2

How to compare fractions, decimals and percentages Change the following decimals into fractions: 1) 0. 65 = 2) 0. 08 = 3) 0. 1 = 4) 0. 51 = The digits of the decimal make the numerator of a fraction Two decimal places make a fraction over one hundred which is the denominator. Fractions can then be simplified by dividing the numerator and denominator by the same factor

How to compare fractions, decimals and percentages Order the following numbers from lowest to highest: Convert all numbers in to decimals: 0. 40 0. 38 0. 25 0. 68 0. 30 0. 125 Now you can order the numbers from lowest to highest: 0. 125 0. 30 0. 38 0. 40 0. 68

How to compare fractions, decimals and percentages Definitions of signs: = Equal to ≠ Not equal to < Less than > Greater than ≤ Less than or equal to ≥ Greater than or equal to = < < > 4 - 9 = -5

Order and compare fractions, decimals and percentages- Now you try…. .

Order and compare fractions, decimals and percentages- Now you try…. . =2. 75 234 187 < = < 120 -98 -130 -140

Problem solving and reasoning In a quiz, competitors get 6 points for answering a question correctly and lose 5 points if they answer incorrectly. In the first round Sam answered all three questions correctly, his score was 18. a) In the same round Jay answered two questions correctly and one question incorrectly. What was his score? b) If Carl answered one question incorrect and two questions correctly. What is his score?

Problem solving and reasoning In a quiz, competitors get 6 points for answering a question correctly and lose 5 points if they answer incorrectly. In the first round Sam answered all three questions correctly, his score was 18. a) In the same round Jay answered two questions correctly and one question incorrectly. What was his score? b) If Carl answered one question incorrect and two questions correctly. What is his score? a) As Jay answered 2 questions correctly he gets 6 points for every correct answer 6 + 6 =12 He then answers one questions incorrectly, so 5 points must be deducted 12 – 5 = 7 Jay has a total score of 7 b) As Carl answered 2 questions incorrectly he has to deduct five for each incorrect answer -5 - 5 points = - 10. He answered one question correctly which is 6 points -10 + 6 = - 4 Carl has a total score of -4

Problem solving and reasoning •

Problem solving and reasoning • In order to compare their test results all numbers need to be converted into percentages. ÷ 6 x 10 Farah’s result 0. 58 = 58% ÷ 6 x 10 Tom achieved the highest percentage of 62% therefore he achieved the highest result.

Problem solving and reasoning Circle each card that shows more than a half. 0. 34 0. 55

Problem solving and reasoning Circle each card that shows more than a half. 0. 34 0. 55 More than a half is any value which is greater than 0. 50 Which decimal values are greater than 0. 50? Start by changing fractions and percentages into decimals. 36% = 0. 36 70% = 0. 70

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