Understanding Decimals and Fractions

The video tutorial explains how to represent the decimal 0.42 using a decimal grid, convert it to a fraction, write it in words, and express it in expanded form. It begins by defining the decimal grid, explaining the ten-by-ten, one-by-ten, and one-by-one grids. The tutorial then demonstrates shading 42 out of 100 parts to represent the decimal. It covers converting the decimal to a fraction with a denominator of 100 and an alternative form with a denominator of 50. The decimal is written in words as 'forty-two hundredths,' and the expanded form is shown as 0.4 plus 0.02.

What is the value of a 'flat' in the decimal grid?

• One-tenth

• Ten

• One

• One-hundredth

What is the value of a 'bit' in the decimal grid?

• One-tenth

• One

• Ten

• One-hundredth

How many 'longs' are needed to represent 0.42?

• 2

• 8

• 4

• 6

How many 'bits' are needed to complete the representation of 0.42?

• 1

• 4

• 2

• 3

What is the denominator when expressing 0.42 as a fraction?

• 100

• 42

• 10

• 50

How can 0.42 be expressed as a fraction using larger partitions?

• 21/50

• 42/100

• 10/25

• 84/200

How is the decimal 0.42 written in words?

• Four thousand two

• Four hundred and two

• Forty-two hundredths

• Forty-two hundreds

What would 42 hundreds be equivalent to?

• 420

• 42,000

• 4,200

• 42

What is the expanded form of 0.42?

• 0.04 + 0.2

• 0.4 + 0.02

• 0.42

• 4 + 2

Which of the following is NOT a correct way to express 0.42?

• 0.4 + 0.02

• 42/100

• 21/50

• 4.2