Convert \(\frac{5}{8}\) to a decimal.
- A \(0.58\)
- B \(0.625\)
- C \(0.635\)
- D \(0.65\)
Check answer and explanation
Answer B: \(0.625\)
Divide \(5\div8=0.625\). It is a terminating decimal.
CH03-07 lesson
Converting Rational Numbers to Decimals Learning Activity
A focused Grade 7 learning session for Converting Rational Numbers to Decimals using visual models, worked examples, strategy guidance, and a short mastery check.
- 15
- minutes
- 6
- lesson parts
- 11
- practice items
Students will build Grade 7 mastery of converting rational numbers to decimals using models, equations, and test-style reasoning.
Student goal: I can solve problems involving converting rational numbers to decimals.
Helpful first:
Dividing Integers and Rational Numbers
Learn the Idea
Converting Rational Numbers to Decimals is part of Grade 7 The Number System. This activity focuses on the central idea students need before they move into independent practice.
Students will build Grade 7 mastery of converting rational numbers to decimals using models, equations, and test-style reasoning.
See the Math
| What to notice | How to use it |
|---|---|
| Numbers, units, labels, diagrams, or graphs | Identify what each part represents before calculating. |
| The relationship in the problem | Connect the model to an equation, comparison, or explanation. |
Use the figures and worked questions in the practice set below as the visual model for this skill.
Follow a Worked Example
Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.
For Converting Rational Numbers to Decimals, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.
Connect It to a Real Situation
Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.
After solving, explain what the answer means in the situation, not just the number you calculated.
Avoid Mistakes and Choose a Strategy
- Underline the exact question before solving.
- Label units, variables, or graph axes when they appear.
- Estimate first so unreasonable answers are easier to catch.
- Review missed questions and write the reason for each mistake.
Remember the Key Idea
I can solve problems involving converting rational numbers to decimals.
Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.
Solve before opening the answer
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
warmup
2 questionsWhat is \(\frac{1}{2}\) as a decimal?
- A \(0.2\)
- B \(0.25\)
- C \(0.5\)
- D \(0.52\)
Check answer and explanation
Answer C: \(0.5\)
Divide \(1 \div 2 = 0.5\). This is a terminating decimal since the denominator has only factors of 2 and 5.
guided
1 questionConvert \(\frac{3}{4}\) to a decimal.
- A \(0.34\)
- B \(0.43\)
- C \(0.7\)
- D \(0.75\)
Check answer and explanation
Answer D: \(0.75\)
Divide \(3 \div 4 = 0.75\). The denominator is \(2^2\), which divides evenly.
practice
5 questionsWhat is \(\frac{1}{4}\) as a decimal?
- A \(0.14\)
- B \(0.25\)
- C \(0.4\)
- D \(0.5\)
Check answer and explanation
Answer B: \(0.25\)
Divide \(1 \div 4 = 0.25\). This terminating decimal results because \(4 = 2^2\).
Convert \(\frac{1}{5}\) to a decimal.
- A \(0.15\)
- B \(0.2\)
- C \(0.5\)
- D \(0.51\)
Check answer and explanation
Answer B: \(0.2\)
Divide \(1 \div 5 = 0.2\). Since the denominator is 5, this is a terminating decimal.
Which fraction converts to a terminating decimal?
- A \(\frac{1}{3}\)
- B \(\frac{2}{5}\)
- C \(\frac{1}{6}\)
- D \(\frac{1}{7}\)
Check answer and explanation
Answer B: \(\frac{2}{5}\)
A fraction terminates if the denominator has only factors of 2 and/or 5. Dividing: \(2 \div 5 = 0.4\). The others contain factors like 3 or 7.
What is \(\frac{7}{10}\) as a decimal?
- A \(0.07\)
- B \(0.17\)
- C \(0.7\)
- D \(0.77\)
Check answer and explanation
Answer C: \(0.7\)
Divide \(7 \div 10 = 0.7\). Powers of 10 always give terminating decimals.
Convert \(\frac{3}{10}\) to a decimal.
- A \(0.03\)
- B \(0.3\)
- C \(0.13\)
- D \(0.31\)
Check answer and explanation
Answer B: \(0.3\)
Divide \(3 \div 10 = 0.3\). Since the denominator is a power of 10, this terminates immediately.
exit
3 questionsWhat is \(\frac{9}{20}\) as a decimal?
- A \(0.45\)
- B \(0.49\)
- C \(0.59\)
- D \(0.94\)
Check answer and explanation
Answer A: \(0.45\)
Divide \(9 \div 20 = 0.45\). Since \(20 = 4 \times 5 = 2^2 \times 5\), this is terminating.
Convert \(\frac{11}{50}\) to a decimal.
- A \(0.11\)
- B \(0.22\)
- C \(0.50\)
- D \(0.55\)
Check answer and explanation
Answer B: \(0.22\)
Divide \(11 \div 50 = 0.22\). Since \(50 = 2 \times 5^2\), the result is terminating.
What is the decimal equivalent of \(\frac{1}{8}\)?
- A \(0.18\)
- B \(0.125\)
- C \(0.185\)
- D \(0.215\)
Check answer and explanation
Answer B: \(0.125\)
Divide \(1 \div 8 = 0.125\). The denominator \(8 = 2^3\) gives a terminating decimal.
