Question

The table shows the number of bottles collected for recycling. Round the number of bottles collected by each grade to the nearest ten, nearest hundred, and nearest thousand. Choose from the rounded numbers in the box to fill in the table. 2,000 2,200 2,220 2,230 2,300 2,600 2,660 2,670 2,700 3,000 Grade Nearest Ten Nearest Hundred Number of Bottles Collected 2,227 2,664 Nearest Thousand 3 4

Answer 1

Step-by-step explanation

Step 1

`2227`

a)nearest ten

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

so,In this case, the digit to the right (7) is 5 or above. So, we add 1 to the tens place (2). The digit(s) at the right (7) becomes 0, thus we get 2230 as answer.

`\begin{gathered} 2227\Rightarrow2230 \\ \text{because the 7 is greater or equak than 5} \end{gathered}`

b)Nearest hundred

Remember that the hundreds place is three moves from the left of the decimal point (if it exists). To round to the nearest hundred (nearest 100), we use the tens place to determine whether the hundreds place rounds up or stays the same,so

in this case: 27

`\begin{gathered} 2227\Rightarrow2200 \\ \cdot\text{because 27is smaller than 50} \end{gathered}`

c)nearest thousand

Remember that the thousand place is four moves from the left of the decimal point (if it exists). To round to the nearest thousand (nearest 10000), we use the hundreds place to determine whether the thousands place rounds up or stays the same

so,in this case:227

`\begin{gathered} 2227\Rightarrow2000 \\ \text{because 227 is smaller than 500} \end{gathered}`

Step 2

now, for :

`2664`

a) nearest ten

`\begin{gathered} 2664\Rightarrow2660 \\ \text{because 4 is smaller than 5} \end{gathered}`

b)nearest hundred

`\begin{gathered} 2664\Rightarrow2700 \\ \text{because 64 is greater than 50} \end{gathered}`

c)nearest thousand

`\begin{gathered} 2664\Rightarrow3000 \\ \text{because 664 is greater than 500} \end{gathered}`

I hope this helps you