Rounding Whole Numbers 1

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Pre - Algebra

Decimals

Rounding Whole Numbers

Rounding Whole Numbers 1

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Question 1 of 6

1. Question
Round off $7359$ $7359$ to the nearest tens.
- (7360)
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If the number you are rounding is followed by numbers between:

$0 to 4 :$ $0 \text(to) 4:$ Round the number down

$5 to 9 :$ $5 \text(to) 9:$ Round the number up

Method One

Since we are rounding to the nearest tens $(10)$ $(10)$ , apply the rounding rule on the units value, which is $9$ $9$ .

Since $9$ $9$ is within $5 - 9$ $5-9$ , add $1$ $1$ to the tens value and change the digits toitshe right to $0$ $0$ .

$73$ $73$ $5$ $5$ $9$ $9$ $=$ $=$ $73$ $73$ $6$ $6$ $0$ $0$

Therefore, $7359$ $7359$ rounded off to the nearest tens is $7360$ $7360$ .

$7360$ $7360$

Method Two

Draw a number line with ten parts then mark the leftmost part as $7350$ $7350$ and the rightmost part as $7360$ $7360$

Next, mark $7359$ $7359$ within the number line, which should be the ninth part.

Then, mark the middle part, which indicates $7355$ $7355$

For rounding off numbers, follow these rules with regards to the number line:

$Left of the middle mark = Rounded to the leftmost value (7350)$ $\text(Left of the middle mark)=\text(Rounded to the leftmost value (7350))$

$Right of the middle mark = Rounded to the rightmost value (7360)$ $\text(Right of the middle mark)=\text(Rounded to the rightmost value (7360))$

Since $7359$ $7359$ is to the right of the middle mark, $7359$ $7359$ will be rounded off to the rightmost value, which is $7360$ $7360$ .

$7360$ $7360$
Question 2 of 6

2. Question
Round off $4673$ $4673$ to the nearest tens.
- (4670)
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If the number you are rounding is followed by numbers between:

$0 to 4 :$ $0 \text(to) 4:$ Round the number down

$5 to 9 :$ $5 \text(to) 9:$ Round the number up

Method One

Since we are rounding to the nearest tens $(10)$ $(10)$ , apply the rounding rule on the units value, which is $3$ $3$ .

Since $3$ $3$ is within $0 - 4$ $0-4$ , leave the tens value as is, and change the digits to its right to $0$ $0$ .

$46$ $46$ $7$ $7$ $3$ $3$ $=$ $=$ $46$ $46$ $7$ $7$ $0$ $0$

Therefore, $4673$ $4673$ rounded off to the nearest tens is $4670$ $4670$ .

$4670$ $4670$

Method Two

Draw a number line with ten parts then mark the leftmost part as $4670$ $4670$ and the rightmost part as $4680$ $4680$

Next, mark $4673$ $4673$ within the number line, which should be the third part.

Then, mark the middle part, which indicates $4675$ $4675$

For rounding off numbers, follow these rules with regards to the number line:

$Left of the middle mark = Rounded to the leftmost value (4670)$ $\text(Left of the middle mark)=\text(Rounded to the leftmost value (4670))$

$Right of the middle mark = Rounded to the rightmost value (4680)$ $\text(Right of the middle mark)=\text(Rounded to the rightmost value (4680))$

Since $4673$ $4673$ is to the left of the middle mark, $4673$ $4673$ will be rounded off to the leftmost value, which is $4670$ $4670$ .

$4670$ $4670$
Question 3 of 6

3. Question
Round off $7359$ $7359$ to the nearest hundreds.
- (7400)
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If the number you are rounding is followed by numbers between:

$0 to 4 :$ $0 \text(to) 4:$ Round the number down

$5 to 9 :$ $5 \text(to) 9:$ Round the number up

Method One

Since we are rounding to the nearest hundreds $(100)$ $(100)$ , apply the rounding rule on the tens value, which is $5$ $5$ .

Since $5$ $5$ is within $5 - 9$ $5-9$ , add $1$ $1$ to the hundreds value and change the digits to its right to $0$ $0$ .

$7$ $7$ $3$ $3$ $5$ $5$ $9$ $9$ $=$ $=$ $7$ $7$ $4$ $4$ $00$ $00$

Therefore, $7359$ $7359$ rounded off to the nearest hundreds is $7400$ $7400$ .

$7400$ $7400$

Method Two

Draw a number line with ten parts then mark the leftmost part as $7300$ $7300$ and the rightmost part as $7400$ $7400$

Next, mark $7359$ $7359$ within the number line, which should be close to the sixth part.

Then, mark the middle part, which indicates $7350$ $7350$

For rounding off numbers, follow these rules with regards to the number line:

$Left of the middle mark = Rounded to the leftmost value (7300)$ $\text(Left of the middle mark)=\text(Rounded to the leftmost value (7300))$

$Right of the middle mark = Rounded to the rightmost value (7400)$ $\text(Right of the middle mark)=\text(Rounded to the rightmost value (7400))$

Since $7359$ $7359$ is to the right of the middle mark, $7359$ $7359$ will be rounded off to the rightmost value, which is $7400$ $7400$ .

$7400$ $7400$
Question 4 of 6

4. Question
Round off $4673$ $4673$ to the nearest hundreds.
- (4700)
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If the number you are rounding is followed by numbers between:

$0 to 4 :$ $0 \text(to) 4:$ Round the number down

$5 to 9 :$ $5 \text(to) 9:$ Round the number up

Method One

Since we are rounding to the nearest hundreds $(100)$ $(100)$ , apply the rounding rule on the tens value, which is $7$ $7$ .

Since $7$ $7$ is within $5 - 9$ $5-9$ , add $1$ $1$ to the hundreds value and change the digits to its right to $0$ $0$ .

$4$ $4$ $6$ $6$ $7$ $7$ $3$ $3$ $=$ $=$ $4$ $4$ $7$ $7$ $00$

Therefore, $4673$ rounded off to the nearest hundreds is $4700$ .

$4700$

Method Two

Draw a number line with ten parts then mark the leftmost part as $4600$ and the rightmost part as $4700$

Next, mark $4673$ within the number line, which should be between the sixth and seventh part.

Then, mark the middle part, which indicates $4650$

For rounding off numbers, follow these rules with regards to the number line:

$\text(Left of the middle mark)=\text(Rounded to the leftmost value (4600))$

$\text(Right of the middle mark)=\text(Rounded to the rightmost value (4700))$

Since $4673$ is to the right of the middle mark, $4673$ will be rounded off to the rightmost value, which is $4700$ .

$4700$
Question 5 of 6

5. Question
Round off $7359$ to the nearest thousands.
- (7000)
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If the number you are rounding is followed by numbers between:

$0 \text(to) 4:$ Round the number down

$5 \text(to) 9:$ Round the number up

Method One

Since we are rounding to the nearest thousands $(1000)$ , apply the rounding rule on the hundreds value, which is $3$ .

Since $3$ is within $0-4$ , leave the thousands value as is, and change the digits to its right to $0$ .

$7$ $3$ $59$ $=$ $7$ $000$

Therefore, $7359$ rounded off to the nearest thousands is $7000$ .

$7000$

Method Two

Draw a number line with ten parts then mark the leftmost part as $7000$ and the rightmost part as $8000$

Next, mark $7359$ within the number line, which should be between the third and fourth part.

Then, mark the middle part, which indicates $7500$

For rounding off numbers, follow these rules with regards to the number line:

$\text(Left of the middle mark)=\text(Rounded to the leftmost value (7000))$

$\text(Right of the middle mark)=\text(Rounded to the rightmost value (8000))$

Since $7359$ is to the left of the middle mark, $7359$ will be rounded off to the leftmost value, which is $7000$ .

$7000$
Question 6 of 6

6. Question
Round off $4673$ to the nearest thousands.
- (5000)
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If the number you are rounding is followed by numbers between:

$0 \text(to) 4:$ Round the number down

$5 \text(to) 9:$ Round the number up

Method One

Since we are rounding to the nearest thousands $(1000)$ , apply the rounding rule on the hundreds value, which is $6$ .

Since $6$ is within $5-9$ , add $1$ to the thousands value and change the digits to its right to $0$ .

$4$ $6$ $73$ $=$ $5$ $000$

Therefore, $4673$ rounded off to the nearest thousands is $5000$ .

$5000$

Method Two

Draw a number line with ten parts then mark the leftmost part as $4000$ and the rightmost part as $5000$

Next, mark $4673$ within the number line, which should be between the sixth and seventh part.

Then, mark the middle part, which indicates $4500$

For rounding off numbers, follow these rules with regards to the number line:

$\text(Left of the middle mark)=\text(Rounded to the leftmost value (4000))$

$\text(Right of the middle mark)=\text(Rounded to the rightmost value (5000))$

Since $4673$ is to the right of the middle mark, $4673$ will be rounded off to the rightmost value, which is $5000$ .

$5000$

Rounding Whole Numbers 1

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2. Question

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3. Question

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