But, is this number in the standard form? Let us find out. So, in a number 32.15 is the digit 1 is at the tenth place while the digit 5 is at the hundredth place. The Fractional part of the decimal is represented as – Decimal (.) In this system, the digits of the fraction part have been defined according to their place values apart from the existing whole number writing system. The decimal place value system is an extension of the number system of whole numbers that we have just learned. Before we understand how to write the decimals in their standard form, it is important to understand the decimal number system. We know that a decimal consists of a whole number and a fractional part separated by a decimal. Using Multiples of 10 to define Standard Form of Decimals The below table demonstrates how large numbers can be expressed as powers of 10 – Numberġ0 x 10 x (10 x 10 x 10) x ( 10 x 10 x 10 ) Powers of 10 can be similarly used to represent larger numbers. Using Powers of 10 to represent large numbers (Also referred to a 10 to the 4 or to the power 4 ) ![]() Below we have a chart of powers of 10 that explains them further. For example, we can write 10 x 10 x 10 = 10 3. They are used often to show very large or very small numbers. ![]() Powers of 10 are used to show repeated multiplication or division by 10. ![]() For example, 2.31, 4.07, 0.056 are all decimal numbers. In algebra, a decimal number can be defined as a number whose complete part and the fractional part are separated by a decimal point. The word decimal comes from the Latin word “Decem” which means 10. Rules for multiplying and dividing decimals by powers of 10.Division of decimal numbers by powers of 10 and representing them in scientific notation.Multiplication of decimal numbers by powers of 10 and representing them in scientific notation.Using Multiples of 10 to define Standard Form of Decimals.Using Powers of 10 to represent large numbers.
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