5th grade · Math · Unit 1 of 15
Decimals
Tenths, hundredths and thousandths
What your child practices
Reading, writing, comparing and rounding decimals to thousandths, linking decimals to fractions out of 10, 100 and 1000, and adding and subtracting decimals in real situations.
Texas Essential Knowledge and Skills (TEKS) teks student expectation: 5.2(A); 5.2(B); 5.2(C); 5.3(K) · decimals to thousandths: place value, comparing, rounding, adding and subtracting
How we explain it
Children can open this short lesson before they practice.
- Places after the point are tenths, hundredths, thousandths.
- To add or subtract, line up the decimal points.
- Fill empty places with zeros so the numbers match.
Example: 5.5 + 5.25 = ? Write 5.5 as 5.50. 5.50 + 5.25 = 10.75. Answer: 10.75
Decimals in Texas
In the Texas Essential Knowledge and Skills (TEKS), this is unit 1 of 15 in 5th grade Math, before Multiply.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Texas Education Agency (TEA)
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What decimal belongs in the box on the number line?
answer box
6.52
Hint: The line goes from 6.5 to 6.6 in 10 equal jumps, so each jump is 0.01. Count the jumps to the box.
Question 2
A hiking trail is 6.9 km long. Priya has walked 3.27 km. How much farther is it to the end?
6.9 − 3.27 = ?
answer boxkm
3.63 km
Hint: Line up the decimal points and write zeros in any empty places (for example, 2 = 2.000). Then subtract, regrouping as needed.
Question 3
Write 762/1000 as a decimal.
762/1000 = ?
answer box
0.762
Hint: The denominator tells you the last place: 10 → tenths, 100 → hundredths, 1000 → thousandths. Use zeros to fill any empty places.
Question 4
Put these decimals in order from least to greatest.
- 0.19
- 0.9
- 0.901
- 0.91
0.19 → 0.9 → 0.901 → 0.91
Hint: Compare place by place: tenths first, then hundredths, then thousandths. Writing zeros on the end (0.5 = 0.500) can help.
Question 5
Sam's recipe uses 5.81 kg of flour and 3.9 kg of sugar. What is the total mass?
5.81 + 3.9 = ?
answer boxkg
9.71 kg
Hint: Line up the decimal points. Write zeros so both numbers have the same number of decimal places, then add as with whole numbers.
Question 6
Write this as a decimal: four and twenty-two hundredths.
answer box
4.22
Hint: The word “and” marks the decimal point. The last word tells you the last place: tenths = 1 digit after the point, hundredths = 2, thousandths = 3. Use zeros to hold empty places.