LESSON 8 MULTIPLYING DECIMALS

​DAILY AGENDA

• ​Begin your DO NOW as soon as you walk into the classroom!!!!!!! (5 min)

• ​Teacher led Instruction- (25 min)

• ​Release to Students- (30 min)

• ​Group Collaboration- (10 min)

• ​Come back to Teacher led- (15 min)

• ​EXIT TICKET- (5 min)

LESSON 8 MULTIPLYING DECIMALS

STANDARD: 5.NBT.B.7 (M)

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between operations; assess the reasonableness of answers using estimation strategies. (Limit division problems so that either the dividend or the divisor is a whole number.)​

​*DO NOW*

​You will now have 5 minutes to complete the problem. Once you finish, please turn your paper into the correct tray for your class period.

​

Prepare yourself for today's lesson.

​67.92+3.5=

​ MULTIPLYING DECIMALS WITH WHOLE NUMBERS

• ​Step-1: Ignore the decimal point and multiply both the numbers.

• Step-2: Count the number of decimal places in the decimal number.

• Step-3: Then, place the decimal point in the product such that the number of decimal places in the product and the original decimal number should be the same.

MULTIPLYING TWO DECIMAL NUMBERS​

• ​Step 1: Initially, ignore the decimal point and multiply the two numbers normally.

• Step 2: After multiplication, count the total number of decimal places in both the numbers. The product obtained after multiplication will have this total number of decimal places.

• Step 3: Place the decimal point in the obtained product following Step 2.

​MULTIPLYING DECIMAL NOTES

• ​The decimal multiplication follows the same procedure as the multiplication of whole numbers.

• The decimal point should be placed in the product in such a way that, the product has a number of decimal places equal to the sum of decimal places of all the multiplicands and the multipliers.

• Make sure you keep all the zeros in the product while placing the decimal point.

​Multiplying Decimals by 10 100 and 1000

While multiplying any decimal by 10, 100, 1000, or any other power of 10, we just simply shift the decimal point towards the right as many places as the number of zeros in the power of 10.

• If we multiply a decimal by 10, we shift the decimal point one place towards the right, as there is 1 zero in the number 10.

• If we multiply any decimal by 100, we shift the decimal point two places towards the right.

• Similarly, if we multiply a decimal by 1000, we shift the decimal point by three places towards the right, and so on.

For example, 2.32 × 10 = 23.2, 2.32 ×100 = 232, 2.32 × 1000= 2320.

​EXIT TICKET

1.) ​12.5 x 3.4=

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​2.) 7.54 x 3.2=