Multiplying Decimal Numbers Concepts

This video tutorial explains how to multiply decimal numbers using a three-step process. It includes two examples: multiplying 5.6 by 2.3 and 3.78 by 0.0097. The tutorial covers counting decimal places, multiplying as whole numbers, and adjusting the decimal point in the final product. It also provides a detailed explanation of why the decimal point is moved and how to correct the multiplication result.

What is the first step in multiplying decimal numbers?

• Add the numbers together

• Multiply the numbers as whole numbers

• Subtract the smaller number from the larger one

• Count the decimal places in both numbers

In the first example, how many decimal places are there in total?

• Three

• Four

• Two

• One

What do you do in Step 2 of multiplying decimal numbers?

• Subtract the numbers

• Divide the numbers

• Multiply the numbers as if they were whole numbers

• Add the numbers

What is the product of 56 and 23 in the first example?

• 1228

• 1188

• 1128

• 1288

How do you adjust the decimal point in the final product?

• Move it to the left by one place

• Do not move it

• Move it to the left by the total number of decimal places

• Move it to the right by the total number of decimal places

Why is the decimal point moved back in the final product?

• To make the number larger

• To correct the error of multiplying by 10

• To align with the original numbers

• To make the number smaller

In Example 2, which number is placed on the bottom?

• Neither number

• 3.78

• Both numbers

• 0.0097

How many decimal places are counted in total for Example 2?

• Seven

• Five

• Four

• Six

What is the final product of 3.78 and 0.0097 after adjusting the decimal?

• 0.0366

• 0.366

• 36.6

• 3.66