Question

Разделите десчтисные дроби на разряды 1)42 130,619 2)603,795 .3)8,7796 4)151,0607 5)0,196778.

Answer 1

1) 42 130,619 = 42 130 + 0,6 + 0,01 + 0,009
2) 603,795 = 603 + 0,7 + 0,09 + 0,005
3) 8,7796 = 8 + 0,7 + 0,07 + 0,009 + 0,0006
4) 151,0607 = 151 + 0,06 + 0,0007
5) 0,196778 = 0,1 + 0,09 + 0,006 + 0,0007 + 0,00007 + 0,000008

Answer 2

Division of Decimal Fractions

To divide decimal fractions, we can follow the steps below:

1. Count the total number of decimal places in the dividend (the number being divided) and the divisor (the number dividing the dividend). 2. Move the decimal point in the divisor to the right until it becomes a whole number. 3. Move the decimal point in the dividend the same number of places to the right as in step 2. 4. Divide the modified dividend by the modified divisor as you would with whole numbers. 5. Place the decimal point in the quotient directly above the decimal point in the dividend.

Let's apply these steps to the given fractions:

1) 42 ÷ 130.619 - The dividend has 0 decimal places, and the divisor has 3 decimal places. - To make the divisor a whole number, we move the decimal point 3 places to the right: 130.619 → 130619. - We also move the decimal point in the dividend 3 places to the right: 42 → 42000. - Now we divide 42000 by 130619 to get the quotient. - The result is approximately 0.321.

2) 603.795 ÷ 1 - The dividend has 3 decimal places, and the divisor has 0 decimal places. - We don't need to modify the divisor since it is already a whole number. - We move the decimal point in the dividend 3 places to the right: 603.795 → 603795. - Now we divide 603795 by 1 to get the quotient. - The result is 603795.

3) 8.7796 ÷ 1 - The dividend has 4 decimal places, and the divisor has 0 decimal places. - We don't need to modify the divisor since it is already a whole number. - We move the decimal point in the dividend 4 places to the right: 8.7796 → 87796. - Now we divide 87796 by 1 to get the quotient. - The result is 87796.

4) 151.0607 ÷ 1 - The dividend has 4 decimal places, and the divisor has 0 decimal places. - We don't need to modify the divisor since it is already a whole number. - We move the decimal point in the dividend 4 places to the right: 151.0607 → 1510607. - Now we divide 1510607 by 1 to get the quotient. - The result is 1510607.

5) 0.196778 ÷ 1 - The dividend has 6 decimal places, and the divisor has 0 decimal places. - We don't need to modify the divisor since it is already a whole number. - We move the decimal point in the dividend 6 places to the right: 0.196778 → 196778. - Now we divide 196778 by 1 to get the quotient. - The result is 196778.