A focused Grade 4 learning session for Decimal Notation for Fractions using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can write tenths and hundredths as decimals.
Decimal Notation for Fractions means using equal parts, number lines, and clear fraction language to describe parts of a whole.
Question: Where does \(0.5\) belong on this number line?
Why it works: \(0.5\) represents half. The number line goes from \(0\) to \(1\), so \(0.5\) sits exactly in the middle at mark B.
Answer: \(0.5\) is at the middle
Question: Use the place-value chart below to find the decimal for \(\frac{6}{10}\).
| Ones | Tenths | Hundredths |
|---|---|---|
Answer: \(0.6\)
Question: Where does \(0.2\) belong on this number line?
Answer: At position A
Question: A ribbon is \(0.75\) meters long. Which fraction is equivalent to this length?
Why it works: A ribbon \(0.75\) meters long is \(\frac{75}{100}\) of a meter (or three quarters of a meter).
Answer: \(\frac{75}{100}\)
Decimal Notation for Fractions becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Equal parts first, fraction name second.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
Write \(\frac{47}{100}\) as a decimal.
Answer B: \(0.47\)
Hundredths fill the second decimal place. \(\frac{47}{100} = 0.47\), so the answer is \(\mathbf{0.47}\).
Write \(\frac{6}{10}\) as a decimal.
Answer B: \(0.6\)
Tenths fill the first decimal place. \(\frac{6}{10} = 0.6\), so the answer is \(\mathbf{0.6}\).
Which decimal is equal to \(\frac{35}{100}\)?
Answer B: \(0.35\)
Thirty-five hundredths uses both decimal places: \(\frac{35}{100} = 0.35\), so the answer is \(\mathbf{0.35}\).
Write \(0.7\) as a fraction with denominator \(10\).
Answer C: \(\frac{7}{10}\)
\(0.7\) is zero point seven, which is read as seven tenths. That means \(0.7 = \frac{7}{10}\).
Express \(0.23\) as a fraction.
Answer B: \(\frac{23}{100}\)
When you see \(0.23\), you're looking at twenty-three hundredths: \(0.23 = \frac{23}{100}\).
Which of these is NOT equivalent to \(0.3\)?
Answer D: \(\frac{3}{100}\)
Three tenths can be written as \(0.3\), \(0.30\), \(\frac{3}{10}\), or \(\frac{30}{100}\). But \(\frac{3}{100} = 0.03\) is only 3 hundredths, so it doesn't match.
What decimal represents \(\frac{8}{10}\)?
Answer D: \(0.8\)
Eight tenths fills the first decimal place: \(\frac{8}{10} = 0.8\).
Write \(\frac{5}{10}\) as an equivalent fraction with denominator \(100\).
Answer B: \(\frac{50}{100}\)
Multiply both the numerator and denominator by \(10\): \(\frac{5}{10} \times \frac{10}{10} = \frac{50}{100}\).
Mia has \(0.4\) of a pizza. How can she write this as a fraction with denominator \(10\)?
Answer B: \(\frac{4}{10}\)
\(0.4\) is zero point four, which is four tenths: \(0.4 = \frac{4}{10}\). That's the answer Mia is looking for.
Where does \(0.5\) belong on this number line?
Answer B: At mark B
\(0.5\) represents half. The number line goes from \(0\) to \(1\), so \(0.5\) sits exactly in the middle at mark B.
Which statement is true?
Answer C: \(0.7 = 0.70\)
A trailing zero in a decimal doesn't change the value: \(0.7 = 0.70\). Both equal seven tenths.
