Dividing a finite decimal fractions to a natural number
3,6:2 = 1,8
2--------------
16
16
-------------
= =
To divide decimal numbers:
If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
Divide as usual. Keep dividing until the answer terminates or repeats.
Put decimal point directly above decimal point in the dividend.
Check your answer. Multiply quotient by divisor. Does it equal the dividend?
To multiply decimal numbers:
Multiply the numbers just as if they were whole numbers.
Line up the numbers on the right - do not align the decimal points.
Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
Add the products.
Place the decimal point in the answer by starting at the right and moving a number of places equal to the sum of the decimal places in both numbers multiplied.
Example: 3.45 10 = 0.345 , 4,1:10 = 0.41 , 0.65 10 = 0.065 .
Example: 3.45 • 10 = 34.5 , 4.1 • 10 = 41 , 0.65 • 10 = 6.5 .
Example: 3.45 100 = 0.0345 ; 4,1:100 = 0.041 , 6572.3 : 100 = 65 723 .
Example: 3.45 • 100 = 345 , 4.1 • 100 = 410 , 100 = 0.65723 • 65 723 .
Example: 300.45 : 1000 = 0.30045 ; 410:1000 = 0.041 ; 6572.3 : 1000 = 0.65723 .
Dividing an integer to a decimal fraction finită
1 ) 24:1,2 = 240:12 = 20
2) 26,448:1,2 = 264.48 12 = 22.04 .
Dividing a decimal fraction to a decimal fraction finite
a ) 17.5 : 1.4 = 175 : 14 = 12 , 5
b ) 9594 : 2.34 =
959.40 : 234 = 4.1
936
_______
234
234
_________
==
Properties of fractions sharing the same properties as the natural numbers .