Fractions and Fractions and Operations with Operations with DecimalsDecimalsToday you will learn to:Today you will learn to:• convert between fractions and decimalsconvert between fractions and decimals• perform all four operations with decimalsperform all four operations with decimals

M7.A.1.1.1M7.A.1.1.1

Warm-up Problem: Warm-up Problem: Converting Fractions to Converting Fractions to DecimalsDecimalsTammy 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 Converting Fractions to DecimalsDecimals

You can write a fraction as a decimal You can write a fraction as a decimal by dividing the numerator by the by dividing the numerator by the denominator. A denominator. A terminating decimal terminating decimal is a is a decimal that stops, or terminates.decimal that stops, or terminates.

If the same block of digits in a decimal If the same block of digits in a decimal repeats without end, the decimal is a repeats without end, the decimal is a repeating decimalrepeating decimal. The repeating block . The repeating block can be one or more digits. You draw a line can be one or more digits. You draw a line above the repeating digit(s).above the repeating digit(s).

Converting Decimals to Converting Decimals to Fractions and Mixed Fractions and Mixed NumbersNumbers

You can write a terminating decimal as a You can write a terminating decimal as a fraction or mixed number by writing the fraction or mixed number by writing the portion of digits to the right of the decimal portion of digits to the right of the decimal point as a fraction.point as a fraction.

To compare and order fractions and To compare and order fractions and decimals, change all to either fractions or decimals, change all to either fractions or decimals (you decide which is easier).decimals (you decide which is easier).

Adding and Subtracting Adding and Subtracting DecimalsDecimalsRULERULE: When adding and/or subtracting : When adding and/or subtracting decimals, be sure to align the decimal points.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: Warm-up Problem: Multiplying DecimalsMultiplying DecimalsIona’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 DecimalsMultiplying DecimalsRULERULE: Multiply the factors as if they were : Multiply the factors as if they were whole numbers. Then, add the number of whole numbers. Then, add the number of decimal places in both factors to find the decimal places in both factors to find the number of decimal places in the product.number of decimal places in the product.

2.43 x 2.5 1215 4860 6.075

Dividing DecimalsDividing DecimalsNOTENOTE: When dividing decimals, you may : When dividing decimals, you may have to move the decimal points.have to move the decimal points.

NOTE: If necessary, you may need to add extra zeros to the dividend.