Unit 2
Number Operations
Unit Overview:
2.1 Operations with Fractions
A. Applying GCF and LCM to Fraction Operations (6.NS.4)
B. Dividing Fractions (6.NS.1)
C. Dividing Mixed Numbers (6.NS.1)
D. Solving Multi-step Problems with Fractions and Mixed
Numbers (6.NS.1)
2.2 Operations with Decimals
A. Dividing Whole Numbers (6.NS.2)
B. Adding and Subtracting Decimals (6.NS.3)
C. Multiplying Decimals (6.NS.3)
D. Dividing Decimals (6.NS.3)
E. Applying Operations with Rational Numbers (6.NS.3)
Unit Vocabulary
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Denominator
Difference
Dividend
Divisor
Fraction
Mixed number
Numerator
Order of operations
Product
Quotient
Reciprocals
Sum
p. 1
Name _________________________
Math 6
Unit 2 Number Operations Review Sheet
FILL IN THE BLANK:
1. Two numbers whose product is 1 are called ____________________. Give an example
of two such numbers.
2. A number that has a whole part and fractional part is called a _______________ number.
Give an example of such a number and then convert it to an improper fraction.
OPERATIONS WITH FRACTION:
Add. Write answers in simplest form.
3.
3 4
+
8 5
4. 1
9 3
+
10 4
Subtract. Write answers in simplest form.
5.
7 5
−
8 12
6. 3
5 4
−
10 8
Multiply. Write answers in simplest form.
7.
1 4
×
7 5
8.
5 2
×
6 3
1
2
9. 1 × 2
3
9
Divide. Write answers in simplest form.
10.
3 2
÷
7 3
1 1
11. 1 ÷
5 4
Solve. Write answers in simplest form.
3
12. On his twelfth birthday, Ben was 4 feet tall. On his thirteenth birthday, Ben was
4
3
5 feet tall. How much did Ben grow between his twelfth and thirteenth birthdays?
8
13. Ron had 20 apples. He used
for pies?
2
of the apples to make pies. How many apples did Ron use
5
p. 2
1
14. The area of a rectangular garden is 38 square meters. The width of the garden is
4
1
4 meters. Find the length of the garden.
2
OPERATIONS WITH DECIMALS:
Add. Write answers in simplest form.
15. 12.24 + 3.9
16. 0.986 + 0.342
Subtract. Write answers in simplest form.
17. 7.285 – 0.975
18. 14.31 – 13.41
Multiply. Write answers in simplest form.
19. 0.15 x 9.1
20. 3.12 x 0.25
Divide. Write answers in simplest form.
21. 78,974 ÷ 21
22. 5 64.5
23. 2.1 36.75
Solve. Write answers in simplest form.
24. A pound of rice crackers costs $2.88. Matthew purchased
much did he pay for the crackers?
1
pound of crackers. How
4
2.1 Operations with
Fractions
Math 6
Study Guide
Unit 2.1: Operations with Fractions
Make sure you can perform each of the following tasks. Check off each task
after you have studied and mastered it.
o Add fractions.
o Subtract fractions.
o Simplify fractions.
o Multiply fractions.
o Multiply mixed
numbers.
o Divide fractions.
o Divide mixed
numbers.
2.2 Operations with
Decimals
Math 6
Study Guide
Unit 2.2: Operations with Decimals
Make sure you can perform each of the following tasks. Check off each task
after you have studied and mastered it.
o
o
o
o
o
Add decimals.
Subtract decimals.
Multiply decimals.
Divide decimals.
Solve problems
involving multiplication
and division of fractions
and decimals.
Math 6
Study Guide
Unit 2: Number Operations
Make sure you can perform each of the following tasks. Check off each task
after you have studied and mastered it.
o
o
o
o
o
o
o
o
o
o
o
o
Add fractions.
Subtract fractions.
Simplify fractions.
Multiply fractions.
Multiply mixed numbers.
Divide fractions.
Divide mixed numbers.
Add decimals.
Subtract decimals.
Multiply decimals.
Divide decimals.
Solve problems involving multiplication and division of fractions
and decimals.