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

4th Grade math test solutions: Tenths, Hundredths and Decimal Notation – Maths PDF

Cover of the book Grade 4 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 4 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This decimals test answers for 4th Grade covers tenths, hundredths and decimal notation (Common Core 4.NF.C.5, 4.NF.C.6, 4.NF.C.7), with a free PDF to print.

Use this answer key and scoring guide to grade the decimals test. Each solution shows the place value work, and the scoring notes explain partial credit out of 20 points.

Grade 4 · Common Core State Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7

Decimals test answers: worked solutions

Question 1 – Grid fractions [2 pts]

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.

Question 2 – Fractions to decimals [2 pts]

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

(a) 0.9 (b) 0.56

Scoring: 1 point for each part.

Question 3 – Hundredths fractions [2 pts]

(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.

Question 4 – Add tenths and hundredths [2 pts]

$\frac{6}{10} = \frac{60}{100}$.

$\frac{60}{100} + \frac{25}{100} = \frac{85}{100}$.

$\frac{85}{100} = 0.85$

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

Question 5 – Zoomed number line [2 pts]

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

P is at 0.54.

(b) 0.54 is greater than 0.50.

(a) 0.54 (b) $0.54 > 0.5$

Scoring: 1 point for each part.

Question 6 – Compare decimals [2 pts]

(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.

Question 7 – Order and expand [3 pts]

(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.

Question 8 – School store [3 pts]

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

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

The total is $0.75.

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

Scoring: 1 point for each part.

Question 9 – Liam's claim [2 pts]

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.

Total score

Total

20 points

Key facts behind this decimals test answers

Key facts

One tenth = 10 hundredths, so 3/10 = 30/100.
The first digit after the decimal point is tenths and the second is hundredths.
To add tenths and hundredths, rewrite the tenths as hundredths first: 3/10 + 4/100 = 34/100 = 0.34.
Compare decimals by writing them to the same place: 0.4 = 0.40, which is greater than 0.38.
Money is hundredths of a dollar: a dime is $0.10 and a penny is $0.01.

How to use this decimals test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 4 chapters: Grade 4 math.

Voter.. post

Free printable PDF