Chapter 1 Decimals Part 1

Day….. 1 – Multiplying Decimals by Whole Numbers 2 – Multiplying Decimals by Decimals 3 – Dividing Decimals by Whole Numbers 4 - Dividing Decimals by Decimals 5 – Exploring Decimals

Day 1

Bell Work The Steven’s Family drove 258 miles a day for 3 days. How many miles did the drive in all? Justify your answer. If they continued to travel at this rate, how many miles would they drive in a week?

Vocabulary Compatible numbers- Decimal - Factors- Dividend- Divisor - Estimate- Product- Quotient- a reasonable guess The number you divide by The amount being divided a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or (Part of a Whole) numbers that are easily multiplied or divided mentally. Numbers being multiplied in a multiplication equation the answer to a multiplication equation the answer to a division equation

Let’s Review Place Value Multiplication

Place Value

Multiplication Quick Check: Complete problems 1-9 on page 24

I Can…. Multiple decimals by whole numbers.

Multiply Decimals by Whole Numbers Essential Understanding: Use the basic rules of multiplication when multiplying a decimal by a whole number or other decimal. To place the decimal in the product, count the number of decimals places in each factor. Example: 3 x.02 =.06  there are two decimal places in the factors. So, there will be two decimal places in the product. Guided Practice: Complete Problems 1-8 on page 30

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Day 2

Bell Work Louisa walked her dog 0.4 miles a day on Tuesday, Wednesday, Thursday, and Friday. Find the total distance she walked all week. Justify your answer. If Louisa continued to walk her dog at this rate how far would she walk in 4 weeks?

Vocabulary Compatible numbers- Decimal - Factors- Dividend- Divisor - Estimate- Product- Quotient- a reasonable guess The number you divide by The amount being divided a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or (Part of a Whole) numbers that are easily multiplied or divided mentally. the answer to a multiplication equation the answer to a division equation Numbers being multiplied in a multiplication equation

I Can…… Multiple decimals by decimals.

Multiplying Decimals by Decimals Essential Understanding: Use the basic rules of multiplication when multiplying a decimal by a whole number or other decimal. To place the decimal in the product, count the number of decimals places in each factor. Example: 1.5 x 1.5 = 2.25  There are two decimal places in the factors. So, there will be two decimal places in the product. Guided Practice: Complete Problems a-f on pages 38-39

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Day 3

Bell Work Junnie walked for 2.5 hours at a speed of 2.3 miles per hour. Maurice walked for 1.8 hours at a speed of 4.1 miles per hour. Who walked farther? Justify your answer. (Hint: Distance = speed x time) How much farther did Junnie Walk?

Vocabulary Compatible numbers- Decimal - Factors- Dividend- Divisor - Estimate- Product- Quotient- a reasonable guess The number you divide by The amount being divided a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or (Part of a Whole) numbers that are easily multiplied or divided mentally. the answer to a multiplication equation the answer to a division equation Numbers being multiplied in a multiplication equation

Let’s Review Long Division Quick Check: Complete Problems on page 24

I Can…. Divide decimals by whole numbers.

Dividing Decimals by Whole Numbers Essential Understanding: Use the basic rules of division. Since there is not a decimal in the divisor, you can simply bring the decimal of the dividend up and divide as normal. Guided Practice: Complete Problems 1-4 on page 48

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Day 4

Bell Work Ryan and his brother are sharing the cost of a video game. The game cost $ How much does each brother have to pay? Justify your answer. If Ryan saves $20 for the game, how much money will he have left?

Vocabulary Compatible numbers- Decimal - Factors - Dividend- Divisor - Estimate- Product- Quotient- a reasonable guess The number you divide by The amount being divided a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or (Part of a Whole) numbers that are easily multiplied or divided mentally. the answer to a multiplication equation the answer to a division equation Numbers being multiplied in a multiplication equation

I Can…… Divide decimals by decimals.

Dividing Decimals by Decimals Essential Understanding: Use the basic rules of division. To divide any number by a decimal, you must first change the divisor into a whole number. This is done by multiplying it by some power of 10. Then multiply the dividend by the same power of 10. Finally, bring the decimal up and divide as usual. In other words, move the decimal of the outside number to the end. Then move the decimal of the inside number the same number of places. Finally bring inside decimal straight up and divide. Guided Practice: Complete Problems 1-6 on pages 54-55

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Day 5

Bell Work The longest vehicle tunnel in the world is the Laerdal Tunnel in Norway with a length of 15.2 miles long. How many vehicles could fit in the tunnel, bumper to bumper, if the average vehicle’s length is mile? Justify your answer.

Vocabulary Compatible numbers- Decimal - Factors - Dividend- Divisor - Estimate- Product- Quotient- a reasonable guess The number you divide by The amount being divided a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or (Part of a Whole) numbers that are easily multiplied or divided mentally. the answer to a multiplication equation the answer to a division equation Numbers being multiplied in a multiplication equation

Quick Quiz

Explore Lab Day

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