# Decimals What is a decimal A piece of a whole (think about dollars and cents) You can add, subtract, multiply and divide decimals

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• Decimals

What is a decimalA piece of a whole(think about dollars and cents)

You can add, subtract, multiply and divide decimals.

• Multiplying DecimalsMultiplying decimals is just like multiplying fractions!Model the value of your first decimal by shading it in.Model the value of your second decimal by drawing diagonal lines.

• The Hundreds GridThe whole grid represents the whole number 11Each row or column represents one-tenth (0.1) of the whole.Each individual unit represents one-hundredth (0.01) of the whole.

• Model 0.1 x 0.3

Algorithm0.1 0.3 0.03xThe product is determined by the number of units that are overlapping with color (shaded and striped)

• Model 0.4 x 0.3

Algorithm0.4 0.3 0.12xThe product is determined by the number of units that are overlapping with color (shaded and striped)

• Model 0.9 x 0.1Algorithm0.9 0.1 0.09xThe product is determined by the number of units that are overlapping with color (shaded and striped)

• DecimalsLets take a look! 0.1 0.4 0.9 x 0.3 x 0.3 x 0.1 0.03 0.12 0.09

• DecimalsMultiplyingDont worry about the decimalAlign the numbers on the rightCount the number of digits AFTER the decimal. In the answer, move the decimal that many places0.74 x 3.2 0. 74 x 3 . 2

2.3683 digits after the decimalMove the decimal 3 places

• Shoot for the STARS!Kendra created a 5-day study schedule for her exams. If the pattern continues, how many hours will she study of the fifth day?The table shows the number of hours she studies in the first three days.

A) 3B) 4C) 4.5D)3.75

Day123Hours0.751.52.25

• Kendra created a 5-day study schedule for her exams. If the pattern continues, how many hours will she study of the fifth day?3/5 is between which two fractions?I made a chart and noticed that she was multiplying each day by 0.75.

On the 5th day, Kendra would study for 3.75 hours on the 5th day.Studied 1st day for 0.75 hrs2nd day for 1.5 hrs3rd day 2.25 hrs1 x 0.75 = 0.752 x 0.75 = 1.503 x 0.75 = 2.254 x 0.75 = 3.005 x 0.75 = 3.75

Day123Hours0.751.52.25

• Speed Test1. Get a speed test, marker, and eraser.2. Make sure your marker works!You have 1 minute to complete as many problems as you can.4. Graph your results. Keep the graph in your notebook.5. We will do this every day.

• AssignmentMeasuring Up Pg.

• DecimalsDividingThere cannot be any decimals in the number outside the house (divisor)Move the decimals to make it a whole #If you move the decimals in the divisor, move the decimal in the dividend.Push the decimal up9.156 0.4

22.89Move the decimal one place

• Shoot for the STARS!Example 1A school took in a total of \$1,773.75 during the run of its spring musical. The cost per ticket was \$2.75. How many tickets were sold?

• Dividing DecimalsWhat is the question asking?How many tickets were sold.How do we find out how many tickets were sold?

• Decimals= 645If the cost per ticket is \$2.75 and the school made \$1,773.75, then there were 645 tickets sold.Move the decimals 2 places and push the decimal up.

• DecimalsIs our answer reasonable?Does the answer make sense?Does the answer COMPLETELY answer the question?

• Dividing DecimalsExample 2Arnold earned \$29.75 in 3.5 hours. How much did he earn per hour?

• DecimalsWhat is the question asking?How much did he earn per hour.How do we find out how much he earned per hour?

• Decimals= 8.50Arnold worked 3.5 hours and made \$29.75, therefore, he earned \$8.50 per hour.Move the decimals 1 place and push the decimal up.

• DecimalsIs our answer reasonable?Does the answer make sense?Does the answer COMPLETELY answer the question?

• Shoot for the STARSExample 3Sarah drove a total of 101.6 miles. She got 25.4 miles per gallon. How many gallons of gas did she use on her trip?

• Decimals= 4If she drove 101.6 miles, and she got 25.4 miles per gallon, she used 4 gallons of gas.Move the decimals 1 place and push the decimal up.

• What has to happen before we can divide?Ex 4: 8.7 3

Ex 5: 5.8 4

Ex 6: 9.81 0.3

Ex 7: 0.0132 0.22

• Class Work

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