Fractions and Operations with Decimals Today you will learn to: convert between fractions and decimals perform all four operations with decimals M7.A.1.1.1

Warm-up Problem: Converting Fractions to Decimals Tammy is a registered nurse and is about to get a raise at work. Her raise is 9/16 of a dollar per hour. If she currently makes $16.75 an hour, what would her new hourly wage be?

Converting Fractions to Decimals You can write a fraction as a decimal by dividing the numerator by the denominator. A terminating decimal is a decimal that stops, or terminates. If the same block of digits in a decimal repeats without end, the decimal is a repeating decimal. The repeating block can be one or more digits. You draw a line above the repeating digit(s).

Converting Decimals to Fractions and Mixed Numbers You can write a terminating decimal as a fraction or mixed number by writing the portion of digits to the right of the decimal point as a fraction. To compare and order fractions and decimals, change all to either fractions or decimals (you decide which is easier).

Adding and Subtracting Decimals RULE: When adding and/or subtracting decimals, be sure to align the decimal points. NOTE: If necessary, insert zeros at the end of each so that each has the same number of decimal places. 2.310 19.100 + 1.882 23.292 19.100 - 1.882 17.218

Warm-up Problem: Multiplying Decimals Iona’s favorite peaches are $2.50 per pound at the local farmers’ market. She bought 3.5 pounds of the peaches. How much did she spend?

Multiplying Decimals RULE: Multiply the factors as if they were whole numbers. Then, add the number of decimal places in both factors to find the number of decimal places in the product. 2.43 x 2.5 1215 4860 6.075

Dividing Decimals NOTE: When dividing decimals, you may have to move the decimal points. NOTE: If necessary, you may need to add extra zeros to the dividend.