4th Grade Tenths, Hundredths and Decimal Notation Test Solutions and Scoring (PDF)

3 full columns is 30 squares and 8 more squares: 38 squares.

\(\frac{38}{100} = 0.38\)

Scoring: 1 point for the fraction; 1 point for the decimal.

(a) 9 tenths is 0.9. (b) 56 hundredths is 0.56.

(a) 0.9 (b) 0.56

Scoring: 1 point for each part.

(a) 0.7 = \(\frac{7}{10}\) = \(\frac{70}{100}\). (b) \(\frac{3}{10} = \frac{30}{100}\).

(a) \(\frac{70}{100}\) (b) \(\frac{30}{100}\)

Scoring: 1 point for each part.

\(\frac{6}{10} = \frac{60}{100}\).

\(\frac{60}{100} + \frac{25}{100} = \frac{85}{100}\).

\(\frac{85}{100} = 0.85\)

Scoring: 1 point for rewriting the tenths as hundredths; 1 point for the sum.

(a) P is 4 small marks after 0.5, so 0.54.

(b) 0.54 is greater than 0.50.

(a) 0.54 (b) \(0.54 > 0.5\)

Scoring: 1 point for each part.

(a) 0.3 = 0.30. (b) 0.1 = 0.10, and 9 hundredths is less than 10 hundredths.

(a) \(0.3 = 0.30\) (b) \(0.09 < 0.1\)

Scoring: 1 point for each part.

(a) In hundredths: 0.80, 0.08, 0.88, 0.70. Order: 0.08, 0.70, 0.80, 0.88.

(b) 0.88 is 8 tenths and 8 hundredths.

(a) 0.08, 0.7, 0.8, 0.88 (b) \(\frac{8}{10} + \frac{8}{100}\)

Scoring: (a) 2 points for the correct order, 1 point if two decimals are swapped; (b) 1 point.

(a) $0.35 is \(\frac{35}{100}\) of a dollar.

(b) \(\frac{35}{100} + \frac{40}{100} = \frac{75}{100}\), which is $0.75.

(c) \(1.00 – 0.75 = 0.25\).

(a) \(\frac{35}{100}\) (b) $0.75 (c) $0.25

Scoring: 1 point for each part.

Write 0.4 as 0.40. Then compare 40 hundredths and 38 hundredths: 40 is greater.

Liam is not correct. \(0.4 > 0.38\)

Scoring: 1 point for saying he is not correct; 1 point for an explanation that uses the same place value.