A focused Grade 5 learning session for Reading and Writing Decimals to Thousandths using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can read and write decimals to thousandths.
Reading and Writing Decimals to Thousandths is the Grade 5 skill of students read and write decimals to thousandths using base-ten numerals, number names, and expanded form. For example, they write 347.392 as 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
Strong understanding comes from naming what the numbers, shapes, units, or data values represent, then showing the idea with a model or clear steps before solving.
The key to this topic is understanding the structure behind the work, not just following a rule. Students should be able to talk through what is happening, point to a model, and explain why the answer makes sense.
Question: Place-value chart: identify the digit in the hundredths place for 5.726.
| Ones | Tenths | Hundredths | Thousandths |
|---|---|---|---|
| 5 | 7 | 2 | 6 |
How the model helps: The digit 2 is in the hundredths place (the second position to the right of the decimal point).
Question: Place-value chart for 12.6: identify the tenths digit.
| Tens | Ones | Tenths | Hundredths |
|---|---|---|---|
| 1 | 2 | 6 | 0 |
Answer: 6
Question: Decimal grid with 67 shaded squares (out of 100). What is the decimal?
Answer: 0.67
Question: Write the decimal 0.47 as a fraction.
Answer: \(\frac{47}{100}\)
Why it works: The decimal 0.47 has two digits after the decimal point, so it represents 47 hundredths: \(0.47 = \frac{47}{100}\).
Reading and Writing Decimals to Thousandths gets easier when students read the model, track what each number means, and explain why the answer fits the situation.
Name the place value first, then compute or compare with aligned digits.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
Write the decimal 0.47 as a fraction.
Answer A: \(\frac{47}{100}\)
The decimal 0.47 has two digits after the decimal point, so it represents 47 hundredths: \(0.47 = \frac{47}{100}\).
What is the word form of 0.63?
Answer B: Sixty-three hundredths
The decimal 0.63 is read as "sixty-three hundredths" because there are two decimal places (hundredths position). Avoid using "point" or "and" when reading decimals less than 1.
Which decimal is equivalent to \(\frac{8}{10}\)?
Answer B: 0.8
A fraction with denominator 10 equals a decimal with one place: \(\frac{8}{10} = 0.8\).
Write the expanded form of 2.34 using place values.
Answer D: \(2 + 0.3 + 0.04\)
In the decimal 2.34, the 3 is in the tenths place (0.3) and the 4 is in the hundredths place (0.04). So \(2.34 = 2 + 0.3 + 0.04\).
Place-value chart: identify the digit in the hundredths place for 5.726.
Answer C: 2
The digit 2 is in the hundredths place (the second position to the right of the decimal point).
Which word form correctly reads 0.09?
Answer C: Nine hundredths
The decimal 0.09 has a 0 in the tenths place and a 9 in the hundredths place, so it reads as "nine hundredths".
Expanded form with fractions: write \(3 + \frac{5}{10} + \frac{2}{100}\) as a decimal.
Answer A: 3.52
\(\frac{5}{10} = 0.5\) (tenths place) and \(\frac{2}{100} = 0.02\) (hundredths place), so \(3 + 0.5 + 0.02 = 3.52\).
Decimal-grid visual: a 10 × 10 grid with 43 squares shaded. Write the decimal.
Answer A: 0.43
43 out of 100 squares shaded represents \(\frac{43}{100} = 0.43\).
What is 1.5 in expanded form using addition?
Answer B: \(1 + 0.5\)
The 5 is in the tenths place, so \(1.5 = 1 + 0.5\).
Which decimal corresponds to the word form "seven and twenty-four hundredths"?
Answer A: 7.24
"Seven and twenty-four hundredths" means 7 whole units and 24 hundredths: 7.24.
Place-value chart for 12.6: identify the tenths digit.
Answer C: 6
The tenths place is the first position after the decimal point. In 12.6, the tenths digit is 6.
