Decimal Problem Solving

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For example, if asked to add 4.51 and 9, it is helpful to write 9 as 9.00).

(a) - Start with 2.3 x3.4 Multiply without the decimal points : 23 x34 = 782 Both 2.3 and 3.4 have 1 decimal place so the answer will have 2 decimal places Therefore 2.3 x 3.4 = 7.82 Dividing decimals When dividing a decimal by a whole number, divide as usual but, as in previous examples, keep the decimal points correctly aligned.

(a) - 20% as a fraction is 20/100= 2/10= 1/5 20% as a decimal is 0.2 Therefore to calculate 20% of £60, you must multiply £60 by this value 0.2 x 60 = 12 1/5 x 60/1= 60/5 =12 Therefore 20% of £60 is £12 5 - Percentage increase and decrease During your GCSE Maths exam, you may also be asked to find the percentage increase or decrease of the price of a certain item.

In order to calculate these values, you must find one amount as a percentage of another.To do this, you must form a fraction from the two amounts and multiply this by 100.(a) - This type of question is referred to as a simple interest problem, because the amount of money borrowed remains fixed.Subsequently, this revision guide will introduce you to the basic principles of decimals and percentages, as well as demonstrating how to use these principles in order to solve mathematical problems.In the new linear GCSE Maths paper, you will be required to recognise certain properties of decimals and percentages and solve related calculations.Decimal Word Problem using Block Model (Tape Diagram) Example: David took a walk around a park twice. In the second round, he took 3.2 fewer minutes than he did the first round.How long did David take to complete his walk altogether?20% means 20 out of 100 As a fraction 20% is 20/100 As a decimal 20% is 0.2 During your GCSE Maths exam, you may be asked to calculate the percentage of a quantity.In order to work out this percentage, you must first write the percentage as a fraction or a decimal, then multiply this value by the quantity.A decimal can be converted to either a fraction or a percentage.A percentage is a number or ratio expressed as a fraction of 100.

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