The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.
terminating decimal is when the quotient has the remainder of zero.
Finding a place value in a terminating decimal is easy. When placing the decimal always remember to place it at the tenth.
All jobs will use terminating decimals but most jobs will also require you to be able to work with recurring decimals and many will need decimal numbers which are neither terminating nor recurring.
pi is the quotient obtained by the dividing the circumference of a circle by its diameter. It is not a rational number and so cannot be expressed as a fraction or a terminating decimal. You can not give the exact value of pi as a decimal no matter how many places you use.
0.3333333.... is irrational because it can not be stated exactly, no matter how many decimal places you use.
terminating decimal is when the quotient has the remainder of zero.
It is called a rational number. The rational numbers are closed under the operations of addition, subtraction, multiplication, and division (not dividing by 0). The fact that it is not terminating is not important at all. In fact, if we use other bases besides base 10, we will see that the set of numbers that are rational or irrational doesn't change. However, if we use another base, for example base 3, then the number 1/3 in base 3 can be represented with a terminating "decimal" (technically not decimal). The set of rational numbers that have terminating "decimals" depends on the base.
Finding a place value in a terminating decimal is easy. When placing the decimal always remember to place it at the tenth.
When solving a math problem
In the context of decimal numbers, it means ENDING. So the decimal for 1/2 is 0.5 the decimal representation TERMINATES at 1 digit after the decimal point. The representation for 1/32 is 0.0.3125, a longer stretch after the decimal point, but still the decimal representation is TERMINATING. There are some numbers whose decimal representation ore not terminating. If the number is rational, the represntation is recurring. For example, 1/3 is 0.33... with the 3s going on forever. The decimal representation is said to be recurring. Similarly, 1/7 = 0.142857142857... with the number string repeating forever. Or the number is irrational and the decimal representation is neither terminating nor recurring. It goes on forever, but never settles into a recurring pattern.
All jobs will use terminating decimals but most jobs will also require you to be able to work with recurring decimals and many will need decimal numbers which are neither terminating nor recurring.
YES!!!! Be it a terminating decimal or a decimal recurring to inifinity. Terminating decimal 2.222222 = 2 2/1000000 = 2 1/500000 As a recurring decimal 2.222.... ( Note the use of stops). Let P = 2.222.... Then 10P - 22.222... Subtract 9P = 20 ( Note the recurring decimals subtract to zero). P = 20/9 P = 2 2/9 NB When writing recurring decimal to infinity, the number is written as 2.222... ( with at least three stops/periods). Otherwise it is deemed to be a terminating decimal.
pi is the quotient obtained by the dividing the circumference of a circle by its diameter. It is not a rational number and so cannot be expressed as a fraction or a terminating decimal. You can not give the exact value of pi as a decimal no matter how many places you use.
You could talk about decimal currency working in lots divisible by ten. Or you could say, "How do you use currency in a sentence?"
Kristin's answer to the problem was an infinitesimally small decimal.
The driver received non-fatal injuries in the crash.
I could use a little help to convert this fraction into it's decimal equivalent.