4.1 Estimate Quotients Using Multiples

Day we started to talk about division and we practiced estimating quotients, quotients are the answer to division problems. We started estimating quotients by using multiples. So if I'm trying to estimate a quotient of 175 divided by 6, I'm going to start to think of some multiples of 6. So I know that 6 times 20 is a 120. 6 times 30 is 180. So the quotient of 175 divided by 6 is going to be in between 20 and 30 because 175 is in between 120 and 180. So down here, we're definitely going to need some scrap paper for these to write down some multiples. For these three, I was a little more specific. So to find some multiples of three, I started with ten and easy fact that I know ten times three is 30. Three times 15 is 45. And then I just started counting by threes here, 45, 48, 51, and 54. So I know that 17 times three is 51. 18 times three is 54. And 53 is between 51 and 54. So I know that 53 divided by three is going to be between 17 and 18. And it's a little bit closer to 18 because 53 is closer to 54 than it is to 51. So that's what we're looking for for these problems that the quotient will be between what two numbers and then which one is it closer to. So the ones I have here for numbers two, three and four are a little more specific. But if you just want to stick with multiples of ten that's fine like they did for number one.