5 Minute Check Complete in your notebook. Find each sum 1. 4.9 + 3.0 2. 0.796 + 13 Find the difference. 3. 19.86 - 4.94 4. 82 – 67.18.

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5 Minute Check Complete in your notebook. Find each sum Find the difference – 67.18

5 Minute Check Complete in your notebook. Find each sum

5 Minute Check Complete in your notebook. Find each sum

5 Minute Check Complete in your notebook. Find each sum

5 Minute Check Complete in your notebook. Find each sum Annex zeros, if needed

5 Minute Check Complete in your notebook. Find the difference

5 Minute Check Complete in your notebook. Find the difference

5 Minute Check Complete in your notebook. Find the difference – 67.18

5 Minute Check Complete in your notebook. Find the difference – Annex zeros

Accum Rev 2 What two things must a unit rate have?

Monday, Sept 22 Lesson Multiplying Decimals by Whole Numbers

Multiplying Decimals by Whole Numbers Lesson is estimation and will be incorporated into lessons and

Multiplying Decimals by Whole Numbers Objective: To understand how to estimate and find products of decimals and whole numbers.

Multiplying Decimals by Whole Numbers To multiply a decimal and whole number, multiply as normal and then place the decimal point.

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. First, round the numbers to the nearest whole number to get an estimate. What does.83 round to? Digits from 0 to 4 round down and digits from 5-9 round up.

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. First, round the numbers to the nearest whole number to get an estimate. What does.83 round to? 1 4 x 1 = 4, so 4 x.83 ≈ 4

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. To Multiply Decimals. Step 1 – Stack the numbers with the number with the most digits on top.

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. To Multiply Decimals. Step 1 – Stack the numbers with the number with the most digits on top..83 x 4

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. To Multiply Decimals. Step 2 – Multiply the digits without regard to the decimal place.

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. To Multiply Decimals. Step 2 – Multiply the digits without regard to the decimal place..83 x 4 332

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. To Multiply Decimals. Step 3 – Determine the number of decimal places in the factors to locate the decimal place in the product.

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. To Multiply Decimals. Step 3 – Determine the number of decimal places in the factors to locate the decimal place in the product decimal places x 4 0 decimal places decimal places Is this a reasonable answer?

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. Is this a reasonable answer? 3.32 ≈ 4

Multiplying Decimals by Whole Numbers Find the product of 4 and.83. Another way of thinking about this is by adding four groups of.83.

Multiplying Decimals by Whole Numbers Find the product of 3 and Remember, this is just…..

Multiplying Decimals by Whole Numbers Find the product of 3 and Estimate?

Multiplying Decimals by Whole Numbers Find the product of 3 and Estimate? 3 x 14 = 42 Step 1 - ?

Multiplying Decimals by Whole Numbers Find the product of 3 and x 14.2

Multiplying Decimals by Whole Numbers Find the product of 3 and x 3 Step 2 - ?

Multiplying Decimals by Whole Numbers Find the product of 3 and x Step 3 - ?

Multiplying Decimals by Whole Numbers Find the product of 3 and decimal place x decimal place Does this seem reasonable?

Multiplying Decimals by Whole Numbers Find the product of 3 and decimal place x decimal place Does this seem reasonable? 42.6 ≈ 42

Multiplying Decimals by Whole Numbers Find the product of 4 and.95. (Do this on your own)

Multiplying Decimals by Whole Numbers Find the product of 4 and.95.

Multiplying Decimals by Whole Numbers Find the product of 4 and.95. Estimate ?

Multiplying Decimals by Whole Numbers Find the product of 4 and.95. Estimate ? 4 x 1 = 4 Actual product?

Multiplying Decimals by Whole Numbers Find the product of 4 and decimal places x decimal places Does this sound reasonable?

Multiplying Decimals by Whole Numbers Find the product of 4 and decimal places x decimal places Does this sound reasonable? 3.8 ≈ 4

Multiplying Decimals by Whole Numbers Find the product of 2 and.018. (Do this on your own)

Multiplying Decimals by Whole Numbers Find the product of 2 and.018. Estimate?

Multiplying Decimals by Whole Numbers Find the product of 2 and.018. Estimate? 2 x 0 = 0 Actual product?

Multiplying Decimals by Whole Numbers Find the product of 2 and decimal places x decimal places Make sure you multiply the zeros. You may need them later.

Multiplying Decimals by Whole Numbers Find the product of 2 and decimal places x decimal places Does this sound reasonable?

Multiplying Decimals by Whole Numbers Find the product of 2 and decimal places x decimal places Does this sound reasonable?.036 ≈ 0

Multiplying Decimals by Whole Numbers Find the product of 2 and x 0.18 ≈ x All answers on the homework will need the estimate and a circled actual answer.

Multiplying Decimals by Whole Numbers Find the product of 4 and (Do this on your own)

Multiplying Decimals by Whole Numbers Find the product of 4 and Estimate?

Multiplying Decimals by Whole Numbers Find the product of 4 and Estimate? 4 x 0 = 0 Actual product?

Multiplying Decimals by Whole Numbers Find the product of 4 and decimal places x decimal places Does this sound reasonable?

Multiplying Decimals by Whole Numbers Find the product of 4 and x ≈ x

Multiplying Decimals by Whole Numbers A sheet of printer paper is 8.5 inches by 11 inches. What is the area of the paper? (Hint: area = length x width) (Do this on your own)

Multiplying Decimals by Whole Numbers A sheet of printer paper is 8.5 inches by 11 inches. What is the area of the paper? (Hint: area = length x width) Estimate?

Multiplying Decimals by Whole Numbers A sheet of printer paper is 8.5 inches by 11 inches. What is the area of the paper? (Hint: area = length x width) Estimate? 9 x 11 = 99 Actual answer?

Multiplying Decimals by Whole Numbers A sheet of printer paper is 8.5 inches by 11 inches. What is the area of the paper? (Hint: area = length x width) decimal place x decimal place Is this a reasonable answer?

Multiplying Decimals by Whole Numbers A sheet of printer paper is 8.5 inches by 11 inches. What is the area of the paper? (Hint: area = length x width) decimal place x decimal place Is this a reasonable answer? 93.5 ≈ 99

Multiplying Decimals by Whole Numbers A sheet of printer paper is 8.5 inches by 11 inches. What is the area of the paper? (Hint: area = length x width) 8.5 x 11 ≈ x

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.2 pounds of dry cereal. Kyle is making 5 batches of trail mix. He already has 2 pounds of dry cereal. How many more pounds of dry cereal does he need? (Do this on your own)

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.2 pounds of dry cereal. Kyle is making 5 batches of trail mix. He already has 2 pounds of dry cereal. How many more pounds of dry cereal does he need? Estimate?

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.2 pounds of dry cereal. Kyle is making 5 batches of trail mix. He already has 2 pounds of dry cereal. How many more pounds of dry cereal does he need? Estimate? 1 x 5 = 5 5 – 2 = 3 Actual answer?

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.2 pounds of dry cereal. Kyle is making 5 batches of trail mix. He already has 2 pounds of dry cereal. How many more pounds of dry cereal does he need? decimal place x decimal place 6 lbs (what he needs) – 2 lbs (he has) = 4 lbs Is this a reasonable answer?

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.2 pounds of dry cereal. Kyle is making 5 batches of trail mix. He already has 2 pounds of dry cereal. How many more pounds of dry cereal does he need? decimal place x decimal place 6 lbs (what he needs) – 2 lbs (he has) = 4 lbs Is this a reasonable answer? 4 ≈ 3

Multiplying Decimals by Whole Numbers The table shows the number of gallons of gasoline the Beckleys purchased on their road trip. What was the total cost for gas for the trip? Do this on your own.

Multiplying Decimals by Whole Numbers The table shows the number of gallons of gasoline the Beckleys purchased on their road trip. What was the total cost for gas for the trip? 4.89 x 12= 4.72 x 17= 5.09 x 15= $215.27

Multiplying Decimals by Whole Numbers A bee hummingbird has a mass of 1.8 grams. How many grams are 6 hummingbirds and a 4 gram nest? Do this on your own.

Multiplying Decimals by Whole Numbers A bee hummingbird has a mass of 1.8 grams. How many grams are 6 hummingbirds and a 4 gram nest? decimal place x decimal place g

Multiplying Decimals by Whole Numbers Sharon buys 14 folders for $0.75 each. How much change will she receive if she pays $15? Do this on your own.

Multiplying Decimals by Whole Numbers Sharon buys 14 folders for $0.75 each. How much change will she receive if she pays $15?.75 2 decimal places x decimal places 15 – = $4.50

Multiplying Decimals by Whole Numbers Find two different ways to find the value of the expression 5.7 x 1.17 x 100 that do not require you to first multiply 5.7 x Do this on your own.

Multiplying Decimals by Whole Numbers Find two different ways to find the value of the expression 5.7 x 1.17 x 100 that do not require you to first multiply 5.7 x Two possible answers x 100 = 117 x 5.4 = x 100 = 570 x 1.17 = 666.9

Multiplying Decimals by Whole Numbers Use the product of 123 x 47 to find the product of 123 x Explain the difference between the two products. Do this on your own.

Multiplying Decimals by Whole Numbers Use the product of 123 x 47 to find the product of 123 x Explain the difference between the two products x 47 x The products are different by a factor of 100.

Multiplying Decimals by Whole Numbers Your friend thinks that 1.5 x 8 = 1.20 because you do not count the zero when placing the decimal point. Is your friend correct? Explain. Do this on your own.

Multiplying Decimals by Whole Numbers Your friend thinks that 1.5 x 8 = 1.20 because you do not count the zero when placing the decimal point. Is your friend correct? Explain. No, you need the zero to place the decimal point. But you can “unannex” the zero after you place the decimal point.

Multiplying Decimals by Whole Numbers Agenda Notes Homework –Homework Practice Due Tuesday, Sept 23 Must show all work! Test Corrections Due Tomorrow Mid-Chapter 6.3 Quiz Wednesday, Sept 24