1. 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

2. 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?

3. 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).

4. 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).

5. 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
23.292
19.100
17.218

6. 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?

7. 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

8. 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.