Table of Contents
Decimals In Daily Life – Use of Decimals In Our Daily Lives
Decimals are used in our daily lives in a variety of ways. One way decimals are used is in money. For example, when you buy something for $5.25, the .25 is a decimal. This means that you paid 25 cents in addition to the five dollars. Decimals are also used when measuring things. For example, if you want to measure how long something is, you might use a ruler that is marked in inches and fractions of inches. However, if you want to be more precise, you might use a ruler that is marked in millimeters and fractions of millimeters. This is because a millimeter is a smaller unit of measurement than an inch. Decimals can also be used to calculate things. For example, if you want to calculate how much money you will save by buying a product on sale, you might use a calculator to do the math for you.
Types of Decimal Numbers
There are two types of decimal numbers: terminating and repeating.
Terminating decimal numbers are those that end in a finite number of digits, such as 0.78 or 5.43. Repeating decimal numbers are those that endlessly repeat a certain sequence of digits, such as 0.333… or 1.414…
The beauty of decimal numbers is that they allow us to represent any real number with a finite number of digits. This is because any real number can be represented as a sequence of rational numbers. For example, the real number 3.14 can be represented as the rational number 314/100, or as the sequence of rational numbers 3, 1, 4, 1, etc.
What are Decimal Numbers?
Decimal numbers are numbers that use a base 10 number system. This means that the number 10 is used as a place holder for the ones column, the number 100 is used for the tens column, and the number 1000 is used for the hundreds column. This allows for numbers that are much larger than 10 to be represented. For example, the number 12345 can be represented as 1, 2, 3, 4, 5, 10, 20, 30, 40, 50, 100, 200, 300, 400, 500, 1000.
Value and Decimals
A decimal is a number that is represented by a fractional part of a whole number. A decimal point is the symbol that is used to indicate a decimal.
A value is a number that is assigned to a property or attribute.
Write each phrase as a fraction as well as a decimal number
0.3
3/10
How Long can a Decimal be?
A decimal can be as long as it needs to be to represent the number.
Decimal Digits
The number of decimal digits a number has is the number of digits that appear after the decimal point. For example, the number 1.23 has three decimal digits.
Use of Decimals in Our Daily Lives
We use decimals every day in our lives. We may not even realize it! For example, when we use money, we may use decimals to represent cents. We may also use decimals when we are measuring something. For example, if we are measuring the length of a table, we might measure it in inches and then divide that number by 12 to get the measurement in feet.
Properties of Decimals
A decimal is a number that can be expressed in the form of a fraction with a denominator of 10, 100, 1000, or any other number that is a multiple of 10.
A decimal can be expressed as a terminating decimal or a nonterminating decimal.
A terminating decimal is a decimal that has a finite number of digits that repeats after a certain point. For example, 0.15 is a terminating decimal because the digits after the decimal point (the 5 and the 1) repeat.
A nonterminating decimal does not have a finite number of digits that repeat after a certain point. For example, 0.142857142857… is a nonterminating decimal because the digits after the decimal point never stop repeating.
