Question

Choose all numbers that round to 30,000 when rounded to the nearest ten thousanda. 285, 602b. 20,347c. 27,563d. 22,547

Answer 1

SOLUTION

The rule for rounding to the nearest ten thousand is to look at the last four digits. If the last four digits are 5,000 or greater, then we round our ten thousand digits up, and if it is less than 5,000, then we keep our ten thousand digits the same.

We now apply the rule above to each of the option

For option 1(A)

$28\text{5 602}$

To round the number, since the last four digits is greater than 5000,

Then

$\begin{gathered} 285602\text{ to the nearest ten thousand which is 290000} \\ \text{the number becomes } \\ 290\text{ 000} \end{gathered}$

hence 285, 607 to the nearest ten thousand is 290, 000

For Option 2(B)

$\begin{gathered} 20,347 \\ \text{ Since the last four digit (0347) is less than }5000 \\ 20\text{ 347 becomes 20 000 to the nearest tens } \end{gathered}$

Hence the 20 347 to the nearest thousand is 20 000

For option 3(c)

$\begin{gathered} 27,\text{ 547} \\ \text{ Since the last four digit (7547) is greater than 5000} \\ 27\text{ 547 is rounded to 30 000} \end{gathered}$

hence, 27,547 to the nearest thousand is 30 000

For option 4(D)

$\begin{gathered} 22,\text{ 547} \\ \text{the last four digit }(2547)\text{ is less than 5000 } \\ \text{hence 22,547 is rounded to 22 000} \end{gathered}$

Therefore 22 547 to the nearest thousand is 22 000

Hence the right option is C