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MATHS FACTS YOU NEED TO KNOW. It will really help you improve your Maths if you learn all these facts ! Have a go and then try to test yourself!!. Fractions, Decimals, Percentages. Fractions, Decimals and Percentages. Test Yourself. Write 4/10 as a decimal. What is 3/5 as a decimal?

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maths facts you need to know

MATHS FACTS YOU NEED TO KNOW

It will really help you improve your Maths if you learn all these facts! Have a go and then try to test yourself!!

slide4

Test Yourself

  • Write 4/10 as a decimal.
  • What is 3/5 as a decimal?
  • Write 0.53 as a percentage.
  • What is 75% as a fraction?
  • Write ¼ as a percentage.
  • What is ½ as a decimal?
  • What is ½ as a percentage?
  • Write ¾ as a decimal.
slide5

Answers

  • Write 4/10 as a decimal. 0.4
  • What is 3/5 as a decimal? 0.6
  • Write 0.53 as a percentage. 53%
  • What is 75% as a fraction? 3/4
  • Write ¼ as a percentage. 25%
  • What is ½ as a decimal? 0.5
  • What is ½ as a percentage? 50%
  • Write ¾ as a decimal. 0.75
slide6

Ordering Decimals

  • To order a set of decimals, write them out directly underneath each other.
  • Add place holders so each number has the same amount of digits
  • Starting with the biggest number, look at each column in turn to work out the order
slide7

Test yourself!

  • Order these sets of numbers, smallest first:
  • 2.75, 27.5, 2.72. 2.277, 22.727
  • 11.1, 11.11, 11.011, 11.101, 11.01
  • 217.71, 217.17, 271.071, 271.017, 271
  • 0.28, 0.288, 0.208, 2.8, 2.801
slide8

Answers

  • Order these sets of numbers, smallest first:
  • 2.75, 27.5, 2.72. 2.277, 22.727
  • 2.277, 2.72, 2.75, 22.727, 27.5
  • 11.1, 11.11, 11.011, 11.101, 11.01
  • 11.01, 11.011, 11.1, 11.101, 11.11
  • 217.71, 217.17, 271.071, 271.017, 271
  • 217.17, 217.71, 271, 271.017, 271.071
  • 0.28, 0.288, 0.208, 2.8, 2.801
  • 0.208, 0.28, 0.288, 2.8, 2.801
slide9

Ordering mixed fractions, decimals and percentages

  • Always convert everything to either all fractions, all decimals or all percentages.
  • 5/10, 48%, 0.45, 3/5, 35%
  • Convert them all to a percentage
  • 50%, 48%, 45%, 60%, 35%
  • Then it is easy to order them!
slide10

Test yourself!

  • Put these in order, starting with the smallest:
  • 2/5, 43%, 0.25, 2/10, 20%
  • ¼, 3/10, 2/5, 50%, 0.3
  • 33%, 8/10, 2/5, ¾, 0.85
slide11

Test yourself!

  • Put these in order, starting with the smallest:
  • 2/5, 43%, 0.25, 2/10, 20%
  • ¼, 3/10, 2/5, 50%, 0.3
  • 33%, 8/10, 2/5, ¾, 0.85
slide12

Answers

  • Put these in order, starting with the smallest:
  • 2/5, 43%, 0.25, 2/10, 26%
  • 2/10, 0.25, 26%, 2/5, 43%
  • ¼, 3/10, 2/5, 50%, 0.32
  • ¼, 3/10, 0.32, 2/5, 50%
  • 33%, 8/10, 2/5, ¾, 0.85
  • 33%, 2/5, ¾, 8/10, 0.85
slide13

Equivalent fractions

  • If a fraction is equivalent to ½, the top number will always be half the bottom number.
  • 3/6, 7/14, 10/20, 40/80, 5/10 all all equivalent fractions
slide14

Equivalent fractions

  • To find an equivalent fraction you need to multiply or divide the top and bottom by the same number.
  • E.g. To find equivalent fractions for 4/6: multiply the top and bottom by 5 = 20/30, multiply the top and bottom by 3 = 12/18
slide15

Simplifying fractions

  • To simplify a fraction you need to find the biggest number you can equally divide the top and bottom by.
  • E.g. To simplify 5/15, divide the top and bottom by 5 = 1/3
  • To simplify 40/90, divide the top and bottom by 10 = 4/9
slide16

Test yourself!

  • Simplify these fractions:
  • - 4/6
  • - 20/50
  • - 18/27
  • True or false? 15/40 is equivalent to ½. Explain your answer.
  • True or false? 30/90 is equivalent to 1/3. Explain your answer.
slide17

Answers

  • Simplify these fractions:
  • - 4/6 2/3 (divide top and bottom by 2)
  • - 20/50 2/5 (divide top and bottom by 10)
  • - 18/27 2/3 (divide top and bottom by 9)
  • True or false? 15/40 is equivalent to ½. Explain your answer.
  • False, 15 is not half of 40 and if you simplify 15/40, it is 3/8.
  • True or false? 30/90 is equivalent to 1/3. Explain your answer.
  • True, if you divide 30 and 90 by 30 it is 1/3
slide18

Negative Numbers

  • Always think of negative numbers as temperature to help you
  • The bigger the negative number, the colder it is
  • The smaller the negative number, the warmer it is
slide19

Negative Numbers

  • Always, always use a number line to add or subtract negative numbers

-3 + 6 = 3 -2 + 9 = 7

0 – 2 = -2 7 – 10 = -3

slide20

Test yourself!

  • What is 7 less than 3?
  • What is -5 + 10?
  • The temperature on Monday was -2. On Tuesday the temperature rose by 8 degrees. What was the temperature on Tuesday?
  • The temperature on Monday was 1 degree. It fell by 2 degrees each day. What was the temperature on Friday?
slide21

Answers

  • What is 7 less than 3? -4
  • What is -5 + 10? 5
  • The temperature on Monday was -2. On Tuesday the temperature rose by 8 degrees. What was the temperature on Tuesday?
  • 6 degrees
  • The temperature on Monday was 1 degree. It fell by 2 degrees each day. What was the temperature on Friday?
  • -7 degrees