Understanding Decimals and Fractions

This video tutorial reviews decimals, covering decimal numbers, mixed decimals, decimal places, and the place value system. It explains how to expand decimal numbers, convert decimals to fractions, and vice versa. The tutorial also discusses equivalent and like decimals, and how to compare and order them. The content is designed to help students understand and apply these concepts effectively.

How is the fraction 3/10 represented as a decimal?

• 3.0

• 0.03

• 0.3

• 30

What is the integral part in the mixed decimal 93.56?

• 93

• 56

• 0.93

• 0.56

How many decimal places are there in the number 0.391?

• One

• Two

• Four

• Three

What is the expanded form of the decimal number 1514.862?

• 1000 + 500 + 10 + 4 + 0.8 + 0.06 + 0.002

• 1000 + 500 + 10 + 4 + 0.8

• 1500 + 14 + 0.86 + 0.002

• 1000 + 500 + 10 + 4 + 0.8 + 0.06

How do you write the decimal 0.462 as a fraction?

• 462/10

• 462/1000

• 462/100

• 462/10000

What is the decimal representation of the fraction 462/1000?

• 0.0462

• 46.2

• 0.462

• 4.62

What are equivalent decimals?

• Decimals with different integral parts

• Decimals with the same number of decimal places

• Decimals with the same value even after adding zeros

• Decimals with different values

Which of the following are like decimals?

• 0.30 and 0.300

• 0.3 and 0.30

• All of the above

• 0.3 and 0.300

How do you convert unlike decimals to like decimals?

• By multiplying the decimal by 10

• By adding zeros to the end of the shorter decimal

• By removing zeros from the longer decimal

• By changing the integral part

Arrange the following decimals in ascending order: 0.400, 0.390, 0.300, 0.039.

• 0.039, 0.300, 0.390, 0.400

• 0.400, 0.390, 0.300, 0.039

• 0.300, 0.039, 0.390, 0.400

• 0.390, 0.400, 0.300, 0.039