Dividing Decimals By Wholes
Dividing decimals by whole numbers in Grade 8 Saxon Math Course 3 involves performing long division while carefully tracking the decimal point in the quotient. The decimal point in the answer is placed directly above the decimal point in the dividend. Students practice this operation in contexts involving money, measurement, and data analysis.
Key Concepts
Property When dividing by a whole number, the decimal point in the quotient is placed directly above the decimal point of the dividend. Fill any empty places in the quotient with zeros if necessary.
Examples $0.54 \div 9 = 0.06$ $3.6 \div 5 = 0.72$.
Explanation This is the easy kind of decimal division! Just float the decimal point straight up into your answer's spot. Then, divide like you normally would. Zeros are your best friends for holding empty places!
Common Questions
How do you divide a decimal by a whole number?
Set up the long division normally. Place the decimal point in the quotient directly above the decimal point in the dividend, then divide as usual.
How do you divide 7.2 by 4?
Set up 7.2 divided by 4. Place the decimal in the quotient above the decimal in the dividend. 4 goes into 7 once (4), remainder 3. Bring down 2 to get 32. 4 goes into 32 eight times. Answer: 1.8.
What if the dividend has a whole number part and decimal part?
Treat the dividend as a whole number for division purposes but remember to place the decimal point in the quotient at the correct position above the decimal in the dividend.
How do you handle remainders when dividing decimals by whole numbers?
Add zeros to the dividend after the decimal point and continue dividing until there is no remainder or you reach the desired precision.
How does Saxon Math Course 3 teach dividing decimals by whole numbers?
Saxon Math Course 3 uses systematic long division practice with decimal dividends in money and measurement word problems, reinforcing correct decimal point placement.