Division of Fractions and Whole Numbers
What is 4 ÷ ½?
8
What does it mean to divide?
To split a number into equal parts or groups.
What is 10¹?
10
What is 0.5 × 10?
5
What is 2.4 ÷ 10?
0.24
What is ½ ÷ 4?
1/8
What does 12 ÷ 3 mean in a real-life situation?
Dividing 12 items into 3 equal groups; each group has 4 items.
What is 10²?
100
Multiply: 0.6 × 3
1.8
What is 36 ÷ 100?
0.36
You have 3 whole pies and each person gets ¼ of a pie. How many people can you serve?
12
What is a strategy to solve ¾ ÷ ½?
Multiply ¾ × 2 = 1½; use a model or number line to show how many ½s are in ¾.
What happens when you multiply by 10⁴?
The number gets 4 zeros added or is multiplied by 10,000.
Multiply: 4.2 × 100
420
Divide: 4.8 ÷ 6
0.8
What is 1⅔ ÷ ⅓?
5
Write a story problem that matches: 2 ÷ ⅓
If you have 2 gallons of juice and each serving is ⅓ gallon, how many servings can you pour? (Answer: 6 servings)
What is 4 × 10³?
4000
Multiply: 0.03 × 6
0.18
A rope is 1.2 meters long. If you cut it into 4 equal pieces, how long is each?
0.3 m
A board is 4 feet long. How many ⅖-foot pieces can be cut from it?
10
Explain how to solve 3 ÷ ⅔ using a number line or area model.
There are 4 groups of ⅔ in 3; multiply 3 × 3/2 = 4½
What is the value of 7 × 10² in standard form, and why?
700; because 10² = 100, and 7 × 100 = 700
Show a strategy to multiply 2.5 × 1.2
2.5 × 1.2 = 3.0; use area model or partial products (2.5 × 1 = 2.5; 2.5 × 0.2 = 0.5)
Explain a strategy to solve 2.7 ÷ 0.3
Multiply both numbers by 10 to remove decimals → 27 ÷ 3 = 9