Exploring Decimal Place Value and Addition Misconceptions

Maria Miller introduces decimals as fractions, focusing on tenths and hundredths. She explains how to read and write decimals, addresses common student errors, and demonstrates techniques for adding decimals using place value charts and number lines.

What fraction does the decimal 0.9 represent?

• 90/100

• 0.09

• 9/10

• 9/100

How can 0.31 be expressed in terms of hundredths?

• 310/1000

• 3/10

• 3/100

• 31/100

How is the decimal 0.56 expressed as a fraction?

• 56/100

• 5/6

• 0.56/100

• 56/10

What is the simplified form of 5.40 as a mixed number?

• 5 and 4/10

• 5.4

• 54/10

• 5 and 40/100

What is the correct sum of 0.4 and 0.7 using a number line?

• 1.1

• 0.11

• 1.10

• 1.01

What is the correct representation of 8 and 7/10 as a decimal?

• 8.07

• 87.0

• 8.7

• 0.87

If a decimal ends with a zero, like 0.20, does it change the value?

• Yes, it decreases

• No, it remains the same

• Yes, it increases

• It becomes zero

Does adding a zero to the right of the decimal 0.2 change its value?

• Yes, it becomes two

• No, it stays the same

• Yes, it doubles

• Yes, it halves

What is the result of adding 0.31 and 0.05?

• 0.035

• 0.36

• 0.306

• 3.6

What is the sum of 0.3 and 0.05 when aligned properly?

• 3.5

• 0.8

• 0.305

• 0.35