Rounding Multi-Digit Numbers — Let's Practicse!

Rounding Multi-Digit Numbers — Let's Practicse! exercise

• What is the place value of the underlined digit?

  Hints

  Use a place value chart to help you. The image has an example for the number $324,700$.

  Remember:

  HT means hundred thousands

  TT means ten thousands

  T means thousands

  H means hundreds

  T means tens

  and 0 means ones or units

  In the example above, we can see a $4$ in the thousands place.

  Each group has four answers.

  Solution

  The image shows the solution.

  The second place from the right is the tens place so $731$ , $4,000$ , $457$ and $89,140$ all belong in the tens group.

  The third place from the right is the hundreds place so $6,189$ , $359$ , $8,000$ and $21,472$ all belong in the hundreds group.

  The 4th place from the right is the thousands place so $5,000$ , $756,300$ , $36,124$ and $61,323$ all belong in the thousands group.

• Round $31$$,$$428$ to the nearest hundred.

  Hints

  Underline the digit in the hundreds place.

  In the image, the $6$ in the hundreds place is underlined.

  Circle the digit in the tens place.

  In the image, the $8$ in the tens place is circled.

  The circled number helps you decide whether to round up or stay the same.

  If the circled number is $5$ or more you round up. If it is $4$ or less, it stays the same.

  In the example, $8$ is more than $5$ so we round up to $324,700$.

  Solution

  $31$$,$$428$ to the nearest hundred is $31$$,$$400$.

  To round the number, underline the $4$ in the hundreds place and circle the $2$ in the tens place. The $2$ means that the $4$ stays the same.

• Round each number to the nearest thousand.

  Hints

  Use a place value chart to help you. The image has an example for the number $324,700$.

  Which number would you underline and which number would you circle?

  Underline the digit in the thousands place.

  Circle the digit in the hundreds place.

  If the circled number is $5$ or more you round up. If it is $4$ or less, it stays the same.

  Solution

  $86$$,$$400$ rounds to $\bf{86}$$\bf{,}$$\bf{000}$

  $90$$,$$128$ rounds to $\bf{90}$$\bf{,}$$\bf{000}$

  $87$$,$$591$ rounds to $\bf{88}$$\bf{,}$$\bf{000}$

  $91$$,$$399$ rounds to $\bf{91}$$\bf{,}$$\bf{000}$

  $86$$,$$928$ rounds to $\bf{87}$$\bf{,}$$\bf{000}$

• Round each number.

  Hints

  Underline the identified place value.

  Circle the digit in the place value to the right.

  If the circled number is $5$ or more you round up. If it is $4$ or less, it stays the same.

  When you have a $9$ underlined and you round up, this becomes $10$ and must be carried to the place value to the left.

  Solution

  $1$$,$$356$ to the nearest $100$ is $1$$,$$400$.

  $37$$,$$901$ to the nearest $1,000$ is $38$$,$$000$.

  $91$$,$$893$ to the nearest $10$ is $91$$,$$890$.

  $3$$,$$976$ to the nearest $100$ is $4$$,$$000$.

• Round $5$$,$$339$ to the nearest thousand.

  Hints

  Use a place value table to help you. The image has an example for the number $45$$,$$183$.

  Underline the number in the place you are rounding to.

  In the example, we are rounding to the nearest thousand, so here the 5 in the thousands place is underlined.

  If the circled number is $5$ or more you round up. If it is $4$ or less, it stays the same.

  In the example, we circled the $1$ in the hundreds. As this is $4$ or less, it stays the same.

  In the example, $45$$,$$183$ rounds to $45$$,$$000$.

  Solution

  $1$. Write the number in a place value chart.

  $2$. Underline the $5$ in the thousands place.

  $3$. Circle the $3$ in the hundreds place.

  $4$. The $3$ in the hundreds place tells us the $5$ will stay the same.

  $5$. The answer is $\bf{5}$$\bf{,}$$\bf{000}$.

• Round each number to the correct place value.

  Hints

  You do not need a comma in your answers. For example, write $4500$ not $4$$,$$500$.

  Be careful when you underline a $9$, if this rounds up remember to carry to the column to the left.

  Solution

  $5$$,$$678$ to the nearest thousand is $6$$,$$000$.

  $847$$,$$122$ to the nearest ten thousand is $850$$,$$000$.

  $23$$,$$992$ to the nearest hundred is $24$$,$$000$

  $90$$,$$312$ to the nearest thousand is $90$$,$$000$