Understanding Decimal Fractions

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What is a decimal fraction?
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A decimal fraction is a fraction where the denominator is a power of ten, often notated with a decimal point.
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How is 0.75 expressed as a fraction?
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0.75 is expressed as 75/100, which can be simplified to 3/4.
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What is the term for a number between the decimal point and the first digit?
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The term is 'leading zero.' For example, in 0.5, the leading zero is before 5.
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How do you convert a fraction like 1/4 into a decimal?
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To convert 1/4 into a decimal, divide 1 by 4, which equals 0.25.
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Why are decimal fractions important in mathematics?
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Decimal fractions provide a simple way to express fractions, are easy to use in calculations, and are a common format in everyday measurements.
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What is the decimal equivalent of 3/5?
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The decimal equivalent of 3/5 is 0.6.
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How do you add decimals like 0.3 and 1.75?
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Align the decimal points and add each column as you would with whole numbers, resulting in 2.05.
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What is the process to subtract decimals, using 5.9 - 3.47 as an example?
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Align the decimal points, perform the subtraction column by column, borrowing if necessary, resulting in 2.43.
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How do you multiply decimals, for example, 2.5 * 3.4?
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Multiply as whole numbers to get 850, then place the decimal point two places from the right for 8.50.
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What is the importance of aligning decimal points when adding or subtracting?
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Aligning decimal points ensures that the place values (tenths, hundredths) are correctly added or subtracted.
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What does it mean to round a decimal to two decimal places?
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It means adjusting the decimal so there are two digits after the decimal point, rounding up or down based on the third decimal.
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How do you divide decimals, for instance, dividing 6.4 by 0.8?
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Move the decimal point in the divisor to make it a whole number, do the same in the dividend, then divide as usual. Here, 64 divided by 8 is 8.
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What is the decimal representation of 1/8?
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The decimal representation of 1/8 is 0.125.
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What should you do if you need to compare two decimal numbers like 0.8 and 0.76?
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Align the decimal places by filling with zeros if needed, then compare digit by digit from left to right.
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What role do decimals play in everyday life?
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Decimals are used in monetary transactions, measurements, and various calculations involving non-integers in daily life.
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