Grade 9 · Math · Unit 2 of 9
Rational Numbers
Fractions and decimals, positive and negative
What your child practises
Adding, subtracting, multiplying and dividing fractions and decimals that may be negative, converting between fractions and decimals, ordering rational numbers, and using BEDMAS.
Nunavut Curriculum approved guide: Alberta Mathematics K–9 (2007), Number · operations on rational numbers and the order of operations
How we explain it
Children can open this short lesson before they practise.
- A rational number can be written as a fraction.
- To add or subtract, use a common denominator.
- A negative times a negative is positive.
Example: −1/2 + 3/4 = ? Common denominator 4: −2/4 + 3/4. −2 + 3 = 1, so 1/4. Answer: 1/4
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
−2/3 + 2/5 = ?
- -16/15
- -1/5
- -4/15
- 4/15
- 0
-4/15
Hint: Use the common denominator 15: -10/15 + 6/15 = -4/15, which is -4/15 in lowest terms.
Question 2
2/3 ÷ 5/4 = ?
- 3/5
- -8/15
- 8/15
- 15/8
- 1/2
8/15
Hint: Multiply by the reciprocal: 2/3 × 4/5 = 8/15. A positive ÷ positive is positive. Lowest terms: 8/15.
Question 3
Calculate: 8.8 − 4.1 + 4.1 × 2
answer box
12.9
Hint: Multiply first: 4.1 × 2 = 8.2. Then 8.8 − 4.1 = 4.7, and add: 12.9.
Question 4
−5.4 + 2.8 = ?
- 8.2
- -2.6
- -8.2
- 2.6
-2.6
Hint: Different signs: subtract the sizes, 5.4 − 2.8 = 2.6, and keep the sign of the number farther from zero (−5.4). The answer is -2.6.
Question 5
Write 1/10 as a decimal.
answer box
0.1
Hint: Divide the numerator by the denominator: 1 ÷ 10 = 0.1.
Question 6
What is the value of this expression? Remember BEDMAS.
8 + (-3) × 4 − 20 ÷ 5 = ?
answer box
-8
Hint: Multiply and divide first: (−3) × 4 = -12 and 20 ÷ 5 = 4. Then 8 + (−12) − 4 = -8.