Decimal Multiplication Strategies for Tenths and Hundredths

Eugenia, a math tutor, explains how to multiply decimals by focusing on the strategy for tenths and hundredths. She demonstrates the process with two examples: multiplying 0.4 by 0.38 and 0.12 by 0.23. The key is to multiply as if they are whole numbers and then place the decimal point in the result by counting the total number of decimal places in the factors. The video concludes with a summary of the steps involved in multiplying decimals.

What is the first step in multiplying decimals?

• Ignore the decimal points and multiply as whole numbers

• Add the numbers first

• Divide the numbers first

• Subtract the numbers first

What is the key difference between multiplying whole numbers and decimals?

• The numbers are divided first

• The numbers are subtracted first

• The decimal point placement in the final answer

• The numbers are added first

In the example of multiplying 0.4 by 0.38, what is the product of 8 and 4?

• 12

• 24

• 32

• 40

How many decimal places are there in the product of 0.4 and 0.38?

• 2

• 4

• 3

• 1

In the first example, what is the sum of the two lines before placing the decimal point?

• 0.0152

• 0.152

• 0.00152

• 1.52

What is the final answer when multiplying 0.4 by 0.38?

• 1.52

• 0.00152

• 0.152

• 0.0152

When multiplying 0.12 by 0.23, what is the first product obtained by multiplying 3 by the top row?

• 0.60

• 0.63

• 0.36

• 0.30

In the second example, what is the final product before placing the decimal point?

• 276000

• 27600

• 2760

• 276

How many decimal places should be in the final answer when multiplying 0.12 by 0.23?

• 2

• 3

• 4

• 5

What is the final answer when multiplying 0.12 by 0.23?

• 0.0276

• 0.00276

• 0.276

• 0.027