4.5 Dividing Decimals and Order of Operations Learning Objectives: 1. Divide decimals. 2. Divide decimals by powers of 10. 3. Applications involving dividing decimals. 4. Review and use order of operations to simplify expressions containing decimals. A. Dividing decimals Steps for Dividing a Decimal by a Whole Number: 1. Place the decimal point in the quotient directly above the decimal point in the dividend. 2. Divide as with whole numbers. Example 1. Divide. 826.726 Steps for Dividing a Decimal by a Decimal: 1. Move the decimal point in the divisor to the right until the divisor is a whole number. 2. Move the decimal point in the dividend to the right the same number of places as the decimal point was moved in step 1. 3. Divide. Place the decimal point in the quotient directly over the moved decimal point in the dividend. Example 2. Divide. 25.229.8 B Dividing by Powers of 10 To Dividing a Decimal number by 10, 100, 1000, or a higher power of 10—is to move the decimal point as many places to the left as there are zeros in the power of 10 being divided Example 3. Divide. 1. 1074.7 2. 100047.1÷C. Solving Problems by Dividing Decimals Example 4. A square feet bag of fertilizer covers 1250 square feet of lawn. Time Parker’s lawn measures 14,800 square feet. How many bags of fertilizer does he need? If he can buy only whole bags of fertilizer, how many whole bags does he need? E. Simplifying Expressions with Decimals Example 5. Simplify each expression. 1. 0.1558 ÷ 0.02 · 4.45 2. (3.6)2 + 4.5 –