Idea 18of 22Builds on× and ÷ undo each other
4 × 1/3 and 4 ÷ 1/3 ask different questions
Do 4 × 1/3 and 4 ÷ 1/3 have the same answer?
Today you'll discover
- what 4 × 1/3 is given and asks
- what 4 ÷ 1/3 is given and asks
- why the answers are so different
Think firstTwo questions with 4 and 1/3
4 × 1/3 and 4 ÷ 1/3 use the same numbers. Do they have the same answer?
Decide first, then press Next. In each half, find what is given and what is asked.
Two halves. Top: 4 groups, each 1/3 of a whole: how much in all? Four tinted thirds fill one whole and start another: 4 × 1/3 = 4/3 = 1 1/3. Bottom: 4 wholes: how many pieces of 1/3 fit? Four bars cut into thirds numbered 1 to 12: 4 ÷ 1/3 = 12. Then: count given, the answer is an amount; amount given, the answer is a count.
See the whole ideathe big idea and the key word, in one place
The big idea
4 × 1/3 starts from a count and finds an amount; 4 ÷ 1/3 finds a count.
Compare them4 × 1/3 = 4/3, a bit more than 1 whole. 4 ÷ 1/3 = 12 thirds, which is still 4 wholes. Same numbers, different questions.
Key word
- operation
- what you do with numbers: add, subtract, multiply or divide
Ready to use it?
- Pick the drawing that shows 4 × 1/3 or 4 ÷ 1/3.