If your answer to 150 shared between 3 is 450, there's a serious problem! Remember, it's not times or multiplying, it's shared between and divided by. So, think about what 150 shared between 3 would be. Or, you can think about 'something' times 3 = 150. 3 of what give me 150? That's right, 3 x 50 = 150. So the answer to 150 shared between 3 should be 50, not 450! Be careful, multiplication and division are best friends, but that doesn't mean they share their answers.
Example: Use your understanding of place value to estimate 300 shared between 5:
- I think it might be around 50, because 5 groups of 50 is 250, so maybe about 55.
- Well, 300 shared between 10 is 30, so 300 shared between 5 must be 60.
- Or, I know 5 x 6 = 30, so 30 shared between 5 = 6, so 300 shared between 5 = 60.
Mission: Try estimating the answers to these divisions, explain your estimates just like the example above:
1. 50 shared between 5
2. 600 shared between 6
3. 300 shared between 5
4. 400 shared between 3
5. 520 shared between 5
6. 230 shared between 3
What do you notice about your estimates? Are they much bigger or much smaller than the starting number (the number you are sharing)?
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