Cogito
Grade 5 Math · Chapter 4 · Lesson 4
Dividing Decimals
How many of these fit into that?
10 problems · about 16 minutes · 5.NBT.B.7
Figure — use these to answer the problems
80/100 = 0.80 = 0.8
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsFrom “When Multiplying Makes Things Smaller”
What is 0.25 × 40?
AnswerFrom “Multiplying a Decimal by a Whole Number”
9 × 0.3, in tenths?
Answer
Warm Up
Straightforward practice. Get the method working first.
4 problemsHow many halves fit into 9?
AnswerWhy does dividing by less than 1 make the answer bigger?
- Small pieces fit in many times.
- Because that is the rule.
0.6 ÷ 2, in tenths?
Answer0.75 ÷ 5, in hundredths?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsHow many quarters fit into 5?
AnswerDividing by 0.5. Does the answer grow or shrink?
- It grows.
- It shrinks.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Share
0.9 shared among 3. How many tenths each?
AnswertenthsThe Halves
How many halves fit into 6?
Answerhalves