Question

There were 18,652 geese on a lake. What is this number rounded to the tenthousands place?A20,000B19.600C19.000D18.600car mechanic rounds a car's weight to the nearest thousand. He says theweight is 4,000 pounds. What is the least and the greatest amounts the carcould actually weigh? Explain.

Answer 1

Step 1

There are 18,652 geese on a lake

Required: To round this off to the ten thousand place

Step 2

Hence, we will approximate the thousands and add its value to the ten thousand.

`=\text{ 20,000}`

Step 3

The mechanic rounds the weight of the car to the nearest thousand and gets 4000 lb.

Using the rule below;

`\begin{gathered} (4000\text{ - 500)lb - least} \\ or \\ (4000\text{ + 49}9)lb-\text{ greatest} \\ \end{gathered}`

Therefore,

`\begin{gathered} \text{If we subtract 500 from 4000 we get 3500lb} \\ 3500lb\text{ is the least weight of the car} \\ \text{Notice that 3500 rounded off to the nearest thousand = 4000} \\ \text{Any number less than that say 3499 rounded off to the nearest thousand}=3000 \end{gathered}`
`\begin{gathered} \text{If we add 499 to 4000, we get 4499 pounds} \\ 4499\text{ pounds is the greatest weight of the car} \\ \text{Notice if you round off 4499 to the nearest thousand = 4000} \\ \text{Any number more than this say 4500 rounded to the nearest thousand=5}000lb \\ \text{Hence the greatest weight of the car= 4499} \end{gathered}`

Therefore,

`\begin{gathered} \text{Least weight of the car = 3500}lb \\ \text{Greatest weight of the car = }4499lb \end{gathered}`