MATHS FACTS YOU NEED TO KNOW

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# MATHS FACTS YOU NEED TO KNOW - PowerPoint PPT Presentation

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

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

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.

• 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

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

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

• 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

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!

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

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

• 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

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

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

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

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.

• 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

Negative Numbers

• The bigger the negative number, the colder it is
• The smaller the negative number, the warmer it is

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

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?