4th Grade Tenths, Hundredths and Decimal Notation Worksheet Solutions (PDF)
Grade 4 · Common Core State Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7
Exercise 1 – Tenth as a decimal
Tenths are the first place after the decimal point.
Answer: 0.3.
Exercise 2 – Tenths to hundredths
\(10 \times 10 = 100\) and \(7 \times 10 = 70\).
Answer: \(\frac{70}{100}\).
Exercise 3 – Shaded columns
6 of the 10 columns are shaded: \(\frac{6}{10}\). Each column has 10 squares, so 60 of 100 squares are shaded: \(\frac{60}{100}\).
Answer: \(\frac{6}{10} = \frac{60}{100} = 0.6\).
Exercise 4 – Hundredths as a decimal
47 hundredths is 4 tenths and 7 hundredths.
Answer: 0.47.
Exercise 5 – Decimal as a fraction
0.08 is 8 hundredths.
Answer: \(\frac{8}{100}\).
Exercise 6 – Half as hundredths
0.5 is 5 tenths: \(\frac{5}{10}\). Multiply by 10 on the top and bottom: \(\frac{5}{10} = \frac{50}{100}\).
Answer: \(\frac{5}{10}\) = \(\frac{50}{100}\).
Exercise 7 – Tenths plus hundredths
\(\frac{3}{10} = \frac{30}{100}\).
\(\frac{30}{100} + \frac{4}{100} = \frac{34}{100}\).
Answer: \(\frac{34}{100} = 0.34\).
Exercise 8 – Adding two fractions
\(\frac{2}{10} = \frac{20}{100}\).
\(\frac{20}{100} + \frac{35}{100} = \frac{55}{100}\).
Answer: 0.55.
Exercise 9 – Point on a number line
The line has 10 equal parts. The point is at the 6th mark, so 6 tenths.
Answer: 0.6.
Exercise 10 – Place value
The first digit after the decimal point is tenths and the second is hundredths.
Answer: 7 is in the tenths place; 5 is in the hundredths place.
Exercise 11 – Compare 0.4 and 0.38
Write 0.4 as 0.40. Compare 40 hundredths with 38 hundredths.
Answer: \(0.4 > 0.38\).
Exercise 12 – Compare 0.57 and 0.6
Write 0.6 as 0.60. Compare 57 hundredths with 60 hundredths.
Answer: \(0.57 < 0.6\).
Exercise 13 – Order decimals
In hundredths: 0.50, 0.05, 0.55, 0.45. Order: 0.05, 0.45, 0.50, 0.55.
Answer: 0.05, 0.45, 0.5, 0.55.
Exercise 14 – Zoomed number line
The point is 7 small marks after 0.3. That is 7 hundredths more than 0.3.
Answer: 0.37.
Exercise 15 – Dimes and pennies
3 dimes is \(\frac{3}{10}\) of a dollar and 4 pennies is \(\frac{4}{100}\) of a dollar.
\(\frac{30}{100} + \frac{4}{100} = \frac{34}{100}\).
Answer: \(\frac{34}{100}\) of a dollar, or $0.34.
Exercise 16 – Rainy days
Write 0.6 as 0.60. Compare 60 hundredths with 45 hundredths.
Answer: Monday had more rain.
Exercise 17 – Garden plan
\(\frac{4}{10} = \frac{40}{100}\).
\(\frac{40}{100} + \frac{5}{100} = \frac{45}{100}\).
Answer: \(\frac{45}{100} = 0.45\).
Exercise 18 – Notebook prices
$2.40 is 2 dollars and 40 hundredths. $2.04 is 2 dollars and 4 hundredths.
Compare 4 hundredths and 40 hundredths.
Answer: The $2.04 notebook costs less.
Exercise 19 – Long jump
4.2 = 4.20.
Compare 4.20 and 4.19: the ones are the same, 2 tenths is greater than 1 tenth.
Answer: 4.20; Mei jumped farther.
Exercise 20 – School store change
Spent: \(\frac{25}{100} + \frac{40}{100} = \frac{65}{100}\), which is $0.65.
Change: \(\frac{70}{100} – \frac{65}{100} = \frac{5}{100}\), which is $0.05.
Answer: $0.65 spent; $0.05 change.
All Grade 4 chapters: Grade 4 math.
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