Converting Fractions to Decimals with Powers of 10

The video tutorial explains how to convert fractions into decimals by dividing the numerator by the denominator. It covers examples such as 34/10, 7/10, 53/100, 2/100, 1,098/100, and 9,967/1,000, demonstrating the process of moving the decimal point to the left when dividing by powers of ten. The tutorial emphasizes the importance of performing a reality check to ensure the result is logical, highlighting that dividing by ten results in a smaller value.

What is the decimal representation of 34/10?

• 0.34

• 3.4

• 34.0

• 0.034

When dividing by 10, which direction does the decimal point move?

• To the left

• To the right

• It disappears

• It stays the same

What is the decimal form of 7/10?

• 70.0

• 0.7

• 0.07

• 7.0

Why is it sometimes dangerous to write a decimal without a leading zero?

• It is mathematically incorrect

• It can be misread

• It is harder to calculate

• It changes the value

What is 53/100 as a decimal?

• 53.0

• 0.53

• 5.3

• 0.053

How many times do you divide by 10 to convert 53/100 to a decimal?

• Four times

• Once

• Three times

• Twice

What is the decimal equivalent of 2/100?

• 0.02

• 2.0

• 0.002

• 0.2

How many times do you divide by 10 to convert 2/100 to a decimal?

• Three times

• Twice

• Four times

• Once

What is 1,098/100 as a decimal?

• 1.098

• 109.8

• 0.1098

• 10.98

What is the decimal representation of 9,967/1,000?

• 9.967

• 99.67

• 0.9967

• 996.7