Decimals A decimal is a number that is written using the base-ten place value system. A decimal point separates the ones and tenths digits Add and subtract decimals Addition of decimals Yo
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Recognize like and unlike decimals Consider the following decimals: I) 33.2 It has one decimal place ii) 124.35 It has two decimal places. iii) 41.237 It has three decimal places. iv)
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Multiplication of decimals by 10, 100 and 1000 (a)Multiplication of decimals by 10 Multiplying a decimal by 10 is equivalent to forming a new number by moving the decimal point of the given deci
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Division of decimals by 10, 100 and 1000 (a)Division of decimals by 10 Dividing a decimal by 10 is equivalent to forming a new number by moving the decimal point of the given decimal to the left
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Division of a decimal with a whole number Consider the following examples: Example 1 Divide 782.25 by 21 Solution 782.25 ÷ 21 Divide as you would with whole numbers.
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Multiplication of Decimal Numbers Multiplication of a decimal with tenth, and hundredths only Consider the following example Example 1 Find the product of 7.5 and 0.6 Solution :7.5 ×
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Division of Decimal by Decimal (by converting decimals to fractions) Example 1 Divide 0.8 by 0.4 Solution 0.8 ÷ 0.4 \(\frac{8}{10}\div \frac{4}{10}=\frac{8}{10}\times \f
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Use of division to change fractions into decimals Example 1 Convert \(1 \over 4\) to decimal. Thus \(1 \over 4\)=0.25 Remember: Dividend 1 is smaller than divisor 4. W
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Simplify decimal expressions involving brackets (applying one or more basic operations) Example 1 Simplify: 2.1 + (1.3 × 2.1 ÷ 0.7) Soluti
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Round off decimals upto specified number of decimal places Definition: To round a number means to approximate the number to a given value. When rounding look at the digit to the right of the giv
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Convert fractions to decimals and vice versa We have learnt how to convert fraction to decimals in article 4.1.1. We know that: \({1 \over 4}=0.25\)
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Solve real life problems involving decimal Example 1 Noureen bought 6 note books at the rate of Rs. 22.75 per notebook. How much did she pay? Solution Cost of one notebook = Rs. 22.75
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