5 Minute Check Estimate and Find. Complete on the back of yesterday’s notes. 1. 4.9 + 3.0 2. 0.796 + 13 3. 19.86 - 4.94 4. 12 – 7.18

5 Minute Check Find. Complete in your notes. 1. 4.9 + 3.0

5 Minute Check Find. Complete in your notes. 1. 4.9 + 3.0 ≈ 8 5 + 3 = 8 4.9 + 3.0 7.9

5 Minute Check Find. Complete in your notes. 2. 0.796 + 13

5 Minute Check Find. Complete in your notes. 2. 0.796 + 13 ≈ 14 1 + 13 = 14 0.796 +1 3.000 13.796

5 Minute Check Find. Complete in your notes. 3. 19.86 - 4.94

5 Minute Check Find. Complete in your notes. 3. 19.86 - 4.94 ≈ 15 20 - 5 = 15 19.86 - 4.94 14.92

5 Minute Check Find. Complete in your notes. 4. 12 – 7.18

5 Minute Check Find. Complete in your notes. 4. 12 – 7.18 ≈ 5 12 - 7 = 5 12.00 - 7.18 4.82

You make $8. 25 per hour at your job You make $8.25 per hour at your job. Last week you worked 9 hours and your boss paid you $71.25. Did your boss pay you the correct amount?

You make $8. 25 per hour at your job You make $8.25 per hour at your job. Last week you worked 9 hours and your boss paid you $71.25. Did your boss pay you the correct amount? 8.25 + 8.25 74.25

Lesson 3.3 Estimating and Multiplying Decimals by Whole Numbers Wednesday, Aug 23 Lesson 3.3 Estimating and Multiplying Decimals by Whole Numbers

Tue, 8/22 3.1 Add and Subtract Decimals Wed, 8/23 3.3 Mult Decimals by Whole Numbers Thurs, 8/24 3.4 Multiply Decimals by Decimals Fri, 8/25 3.5 Divide Multi-Digit Numbers Mon, 8/28 3.7 Divide Decimals by Whole Numbers Tue, 8/29 3.8 Divide Decimals by Decimals Wed, 8/30 CH 3 Quiz Thurs, 8/31 Review Fri, 9/1 Tue, 9/5 CH 3 ReQuiz

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 6 and .93 To get an estimate, round the numbers to the nearest whole number and perform the operation.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 When rounding to the nearest whole number, look at the digit in the tenths place (the first decimal place). The is the digit to the right of the decimal point.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 is already a whole number, so rounding is not needed.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 Which is .93 closest to? 0 .93 1 Digits from 0 to 4 round down and digits from 5-9 round up.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 x 1 = 6 The decimals points do not need to be lined up! 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 6 and .93 6 x 1 = 6 .93 x 6 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 6 and .93 6 x 1 = 6 .93 x 6 To Multiply Decimals. Step 2 – Multiply the digits without regard to the decimal point.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 x 1 = 6 .93 x 6 5 5 8 To Multiply Decimals. Step 2 – Multiply the digits without regard to the decimal point.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 x 1 = 6 .93 x 6 5 5 8 To Multiply Decimals. Step 3 – Count the number of decimal places in the factors to locate the decimal point in the product.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 x 1 = 6 .93 2 decimal places x 6 0 decimal places 5.5 8 2 decimal places To Multiply Decimals. Step 3 – Count the number of decimal places in the factors to locate the decimal point in the product.

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 x 1 = 6 .93 2 decimal places x 6 0 decimal places 5.5 8 2 decimal places Is this a reasonable answer?

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 6 x 1 = 6 .93 2 decimal places x 6 0 decimal places 5.5 8 2 decimal places Is this a reasonable answer? Yes, 5.58 ≈ 6

Multiplying Decimals by Whole Numbers Find the product of 6 and .93 Is the same as:

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ First, find the estimate.

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ Round this number. Remember since we are rounding to the whole number, we are looking at the digit in the tenth place. Is this digit 0-4 or 5-9?

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 5

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 5 Round this number. Remember since we are rounding to the whole number, we are looking at the digit in the tenth place. Is this digit 0-4 or 5-9?

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 5 x 10 What is the estimate?

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 50 5 x 10 = 50

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 50 5 x 10 = 50 Step 1 - ?

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 50 5 x 10 = 50 10.2 x 5 Step 2 - ?

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 50 5 x 10 = 50 10.2 x 5 5 1 0 Step 3 - ?

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 50 5 x 10 = 50 10.2 1 decimal place x 5 0 decimal places 51.0 1 decimal place Is this a reasonable answer?

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 50 5 x 10 = 50 10.2 x 5 51.0 Is this a reasonable answer? Yes, 51.0 ≈ 50

Multiplying Decimals by Whole Numbers Find. 5 x 10.2 ≈ 50 5 x 10 = 50 10.2 x 5 51.0 This is the work to be shown on today’s assignment.

Multiplying Decimals by Whole Numbers Find. 7 x 7.5 ≈

Multiplying Decimals by Whole Numbers Find. 7 x 7.5 ≈ 56 7 x 8 = 56

Multiplying Decimals by Whole Numbers Find. 7 x 7.5 ≈ 56 7 x 8 = 56 7.5 x 7 52.5

Multiplying Decimals by Whole Numbers Find. 7 x 7.5 ≈ 56 7 x 8 = 56 7.5 x 7 52.5 This is the work to be shown on today’s assignment.

Multiplying Decimals by Whole Numbers Find. 1.2 x 45 ≈

Multiplying Decimals by Whole Numbers Find. 1.2 x 45 ≈ 45 1 x 45 = 45

Multiplying Decimals by Whole Numbers Find. 1.2 x 45 ≈ 45 1 x 45 = 45 1.2 x 45 60 480 54.0 This is the work to be shown on today’s assignment.

Multiplying Decimals by Whole Numbers Find. 27 x 0.27 ≈

Multiplying Decimals by Whole Numbers Find. 27 x 0.27 ≈ 0 27 x 0 = 0

Multiplying Decimals by Whole Numbers Find. 27 x 0.27 ≈ 0 27 x 0 = 0 0.27 x 27 0189 0540 06.29 This is the work to be shown on today’s assignment.

Multiplying Decimals by Whole Numbers Find. 27 x 0.27 ≈ 0 27 x 0 = 0 0.27 x 27 0189 0540 07.29 This is the work to be shown on today’s assignment.

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)

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 ≈ 99 9 x 11 = 99 8.5 x 11 85 850 93.5

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.5 pounds of dry cereal. Kyle is making 5 batches of trail mix. How many pounds of dry cereal does he need?

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.5 pounds of dry cereal. Kyle is making 5 batches of trail mix. How many pounds of dry cereal does he need? 1.5 x 5 ≈ 10 2 x 5 = 10 1.5 x 5 7.5

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.5 pounds of dry cereal. Kyle is making 5 batches of trail mix. How many pounds of dry cereal does he need? 1.5 x 5 7.5 He already has 2 pounds of dry cereal. How many more pounds of dry cereal does he need?

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.5 pounds of dry cereal. Kyle is making 5 batches of trail mix. How many pounds of dry cereal does he need? 1.5 7.5 x 5 -2.0 7.5 5.5 He already has 2 pounds of dry cereal. How many more pounds of dry cereal does he need?

Multiplying Decimals by Whole Numbers A batch of trail mix calls for 1.5 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?

Multiplying Decimals by Whole Numbers Use the product of 123 x 47 to find the product of 123 x 0.47. Explain the difference between the two products.

Multiplying Decimals by Whole Numbers Use the product of 123 x 47 to find the product of 123 x 0.47. Explain the difference between the two products. 123 123 x 47 x .47 861 861 4920 4920 5781 57.81 The products are different by a factor of 100.

Multiplying Decimals by Whole Numbers Agenda Notes Skills Practice 3.3 Due Thursday, Aug 24 Show all work and circle all answers! Chapter 3 Quiz Wednesday, Aug 30

Prodigy Sign In When you get to the Prodigy website. Click on “new student”. Enter the class code and click on the right arrow. In the box marked “first name”, write your last name. In the box marked “last name initial” write your first name initial. Click the right arrow. Your password must be your student ID. Click on the “6” box. Write your username and password down in your math binder.