Question

Introduction to Decimal Fraction. ( please give answer of at least one page otherwise your answer is of no use..) ​

Answer 1

Answer:

Decimal fractions had already been introduced by the Flemish mathematician Simon Stevin in 1586, but his notation was unwieldy. The use of a point as the separator occurs frequently in the Constructio. Joost Bürgi, the Swiss mathematician, between 1603 and 1611 independently invented a system…

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Answer 2

Answer:

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Introduction: What are Decimals in Maths?

A decimal is defined as a number expressed in decimal notation and generally applied to values that have a fractional part and separated from the integer side by a decimal separator.

Now let’s see an example

• Here is the number “thirty-four and seven-tenths” written as a decimal number:
• The decimal point goes between Ones and Tenths

• 34.7 has 3 Tens, 4 Ones and 7 Tenths

Place Value in decimals

The place value system is used to define the position of a digit in a number which helps to determine its value. When we write specific numbers, the position of each digit is important.

Example:

For instance, let’s consider the number 456.

• The position of “6” is in One’s place, which means 6 ones (i.e. 6).
• The position of “5” is in the Ten’s place, which means 5 tens (i.e. fifty).
• The position of “4” is in the Hundred’s place, which means 4 hundred.
• As we go left, each position becomes ten times greater.

Hence, we read it as “Four hundred fifty-six”.

As we move left, each position is 10 times bigger!

• Tens are 10 times bigger than Ones.

• Hundreds are 10 times bigger than Tens.

And

• Each time we move right every position becomes 10 times smaller from Hundred’s to Ten’s, to Ones

But if we continue past Ones?

• What are 10 times smaller than Ones?

• 110ths (Tenths) are!

• Before that, we should first put a decimal point,

So we already know that where we put that decimal point.

• We say the above example as four hundred and fifty-six and eight-tenths but we usually just say four hundred and fifty-six point eight.

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