Dividend & Divisor
In the expression 24÷8, this number is being divided.
What is 24? (the dividend)
The two meanings of division are "How many in each group?" and this.
What is "How many groups?"
How many 1/2s are in 3?
What is 6?
In a tape diagram representing 6÷1/2, the total length of the tape represents this number.
What is 6?
12÷4=3 means 12 divided into 4 equal groups gives you this many in each group.
What is 3?
When the divisor is much smaller than the dividend, the quotient will be this relative to 1.
What is much greater than 1?
If ?×6=24?×6=24, this division equation represents the same relationship.
What is 24÷6=?24÷6=?
This division equation represents the question "How many 1/3 s are in 2?"
What is 2÷13=?
When drawing a tape diagram for 4÷2/3 you would partition the tape into groups of this size.
When drawing a tape diagram for 4÷2/3?
If a hexagon pattern block represents 1 whole, and you need 18 triangles to make 3 wholes, this is the value of each triangle.
What is 1/6?
If you divide 800 by a number very close to 800 (like 799.5), the quotient will be this relative to 1.
What is close to 1?
The expression 15÷315÷3 can be interpreted as "15 divided into 3 equal groups" or this other way.
What is "How many groups of 3 are in 15?"
How many 2/3s are in 4? (Express as a mixed number)
What is 6 or 12/2?
If a grid has 12 squares representing 33 wholes, then each grid square represents this fraction.
What is 1/4?
Without calculating, determine whether 5/6÷1/4 will be greater than 1, less than 1, or close to 1, and explain why.
What is greater than 1? (Because we're dividing by a number much smaller than the dividend, so we get many groups.)
Arrange these expressions from largest to smallest quotient:
20÷0.5
20÷0.5,
20÷520÷5, 2
0÷5020÷50
What is 20÷0.5
20÷0.5,
20÷520÷5,
20÷5020÷50?
A recipe calls for 1/4 cup of oil per serving. If you have 22 cups of oil, this multiplication equation helps you find how many servings you can make.
What is ?×1/4=22?
If you have 2 1/2 feet of ribbon and each bow needs 3/4 foot of ribbon, you can make this many complete bows.
What is 3 complete bows?
When finding 3÷4/5 with a tape diagram, if there are 3 complete groups of 4/5 and 3/5 left over, the remainder represents this fraction of a group.
What is 3/4 of a group?
A playground is 3/4 mile long. Benches are placed every 1/8 mile along the playground. This equation represents how many spaces between benches there are.
What is 3/4÷1/8=?
When dividing by a number much larger than the dividend, the quotient approaches this value.
What is 0 (or close to 0)?
In the context of "5 friends share 3 pizzas equally," the expression 3÷5 is asking for this.
What is "How much pizza does each friend get?" (or "How many in each group?")
How many 3/4s are in 2 1/4? (Express your answer as a mixed number.)
What is 3 or 9/3?
These are two advantages tape diagrams have over pattern blocks when solving division problems with fractions.
What are: you can represent any fraction (not just those shown with blocks) and you can represent larger numbers without needing many physical blocks?
A recipe that serves 8 people calls for 2/3 cup of flour. To make the recipe serve only 2 people, you need this much flour.
What is 1/6 cup?