7th grade · Math · Unit 4 of 22
Decimal Operations
Add, subtract, multiply, divide decimals
What your child practices
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Texas Essential Knowledge and Skills (TEKS) teks student expectation: 7.3(A); 7.3(B) · computing with decimals in multi-step problems
How we explain it
Children can open this short lesson before they practice.
- To add or subtract, line up the decimal points.
- Fill empty places with zeros so the numbers match.
- Then add or subtract like whole numbers.
Example: 3.45 + 2.8 = ? Write 2.8 as 2.80 and line up the points. 3.45 + 2.80 = 6.25. Answer: 6.25
Decimal Operations in Texas
In the Texas Essential Knowledge and Skills (TEKS), this is unit 4 of 22 in 7th grade Math, after Fractions and before Proportional Relationships.
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
Put these decimals in order from least to greatest.
- 0.615
- 0.06
- 0.61
- 0.016
- 0.601
0.016 → 0.06 → 0.601 → 0.61 → 0.615
Hint: Compare tenths first, then hundredths, then thousandths. Writing them with the same number of places helps: 0.016, 0.060, 0.601, 0.610, 0.615.
Question 2
What is 3.2 ÷ 0.8?
3.2 ÷ 0.8 = ?
answer box
4
Hint: Multiply both numbers by 10 so you divide by a whole number: 32 ÷ 8 = 4.
Question 3
Apples cost $3.70 per kilogram. How much do 4.3 kg of apples cost, in dollars?
answer box
15.91
Hint: Multiply the price by the mass: 3.7 × 4.3. Without decimals that's 37 × 43 = 1591; there are 2 decimal places in total, so the cost is $15.91.
Question 4
What is 2.13 + 10.8?
2.13 + 10.8 = ?
answer box
12.93
Hint: Line up the decimal points and give every number two decimal places: 2.13 + 10.80. Add column by column: 12.93.
Question 5
Use the order of operations: what is 5.7 + 2.4 × 2?
5.7 + 2.4 × 2
- 13.8
- 10.5
- 10.6
- 16.2
10.5
Hint: Multiply before adding: 2.4 × 2 = 4.8. Then 5.7 + 4.8 = 10.5.
Question 6
What is 9.4 × 0.4?
9.4 × 0.4 = ?
- 3.76
- 37.6
- 0.0376
- 0.376
3.76
Hint: Multiply as if there were no decimal points: 94 × 4 = 376. The factors have 2 decimal places in total, so the product does too: 3.76.