Multiplying Decimal Numbers by Powers of 10

This lesson teaches how to multiply decimal numbers by powers of 10 using place value understanding. It explains the concept of multiples of 10 and 100, and how multiplying by these powers shifts the digits to the left. The lesson includes examples with 35 hundredths and 78 hundredths to demonstrate the process, emphasizing that the decimal point holds the digits in place without needing extra zeros.

What is the result of multiplying a number by 10?

• The number becomes 10 times smaller.

• The number remains the same.

• The number becomes 10 times larger.

• The number becomes 100 times larger.

When multiplying 35 hundredths by 10, where does the digit 3 move?

• To the tenths place

• To the tens place

• To the hundredths place

• To the ones place

How many places do the digits shift when multiplying by 100?

• Three places to the left

• Two places to the right

• One place to the right

• Two places to the left

What happens to the digits when 78 hundredths is multiplied by 10?

• They shift two places to the left.

• They remain in the same place.

• They shift one place to the left.

• They shift one place to the right.

Why don't we need to add zeros when multiplying decimals by 10 or 100?

• Because the decimal point holds the digits in place.

• Because zeros are automatically added.

• Because the number becomes smaller.

• Because the digits shift to the right.