Testinar Grade 7 math

Converting Rational Numbers to Decimals

Students will build Grade 7 mastery of converting rational numbers to decimals using models, equations, and test-style reasoning.

CH03-07 The Number System

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

Convert \(\frac{5}{8}\) to a decimal.
1. \(0.58\)
2. \(0.625\)
3. \(0.635\)
4. \(0.65\)
What is \(\frac{1}{2}\) as a decimal?
1. \(0.2\)
2. \(0.25\)
3. \(0.5\)
4. \(0.52\)
Convert \(\frac{3}{4}\) to a decimal.
1. \(0.34\)
2. \(0.43\)
3. \(0.7\)
4. \(0.75\)
What is \(\frac{1}{4}\) as a decimal?
1. \(0.14\)
2. \(0.25\)
3. \(0.4\)
4. \(0.5\)
Convert \(\frac{1}{5}\) to a decimal.
1. \(0.15\)
2. \(0.2\)
3. \(0.5\)
4. \(0.51\)
Which fraction converts to a terminating decimal?
1. \(\frac{1}{3}\)
2. \(\frac{2}{5}\)
3. \(\frac{1}{6}\)
4. \(\frac{1}{7}\)
What is \(\frac{7}{10}\) as a decimal?
1. \(0.07\)
2. \(0.17\)
3. \(0.7\)
4. \(0.77\)
What is \(\frac{9}{20}\) as a decimal?
1. \(0.45\)
2. \(0.49\)
3. \(0.59\)
4. \(0.94\)

Teacher and parent reference

Answer key and explanations

B. \(0.625\)
Divide \(5\div8=0.625\). It is a terminating decimal.
C. \(0.5\)
Divide \(1 \div 2 = 0.5\). This is a terminating decimal since the denominator has only factors of 2 and 5.
D. \(0.75\)
Divide \(3 \div 4 = 0.75\). The denominator is \(2^2\), which divides evenly.
B. \(0.25\)
Divide \(1 \div 4 = 0.25\). This terminating decimal results because \(4 = 2^2\).
B. \(0.2\)
Divide \(1 \div 5 = 0.2\). Since the denominator is 5, this is a terminating decimal.
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.
C. \(0.7\)
Divide \(7 \div 10 = 0.7\). Powers of 10 always give terminating decimals.
A. \(0.45\)
Divide \(9 \div 20 = 0.45\). Since \(20 = 4 \times 5 = 2^2 \times 5\), this is terminating.