one millionone million

two billion three hundred thousand

two billion three hundred thousand

forty-two hundredthsforty-two hundredths

one hundred fifty-two millionths

one hundred fifty-two millionths

two million three hundred

thirty-five thousand and sixty-seven

hundredths

two million three hundred

thirty-five thousand and sixty-seven

hundredths

Rounding (+) NumbersRounding (+) Numbers1. Identify the place to which

you are rounding.

Rounding (+) NumbersRounding (+) Numbers2. Look at the digit to the

right of the place to which you are rounding. If it is 5 or greater,

increase the place to which you are rounding by 1.

If it is less than 5, do not change the digit.

Rounding (+) NumbersRounding (+) Numbers3. Change all digits to the

right of the rounding place to zeros.

Round 7,384 to each indicated place.Round 7,384 to each indicated place.

Example 1Example 1

7,0007,000thousand:thousand:

Round 7,384 to each indicated place.Round 7,384 to each indicated place.

7,4007,400hundred:hundred:

Example 1Example 1

Round 7,384 to each indicated place.Round 7,384 to each indicated place.

7,3807,380ten:ten:

Example 1Example 1

Round 15,469.7482 to each indicated place.Round 15,469.7482 to each indicated place.

15,469.715,469.7tenth:tenth:

Example 2Example 2

Round 15,469.7482 to each indicated place.Round 15,469.7482 to each indicated place.

20,00020,000ten thousand:ten thousand:

Example 2Example 2

Round 15,469.7482 to each indicated place.Round 15,469.7482 to each indicated place.

15,469.7515,469.75hundredth:hundredth:

Example 2Example 2

Estimate the sum of 17,436 + 43,519 by rounding each addend to its highest place value.

Estimate the sum of 17,436 + 43,519 by rounding each addend to its highest place value.

60,00060,000

Example 3Example 3

Estimate the difference of 60.09241 – 3.0483 by rounding each addend to the nearest hundredth.

Estimate the difference of 60.09241 – 3.0483 by rounding each addend to the nearest hundredth.

57.0457.04

Example 4Example 4

Estimate the product by rounding.Estimate the product by rounding.

3,6003,60042 • 8742 • 87

Example 5Example 5

Estimate the product by rounding.Estimate the product by rounding.

72,00072,000942 • 78942 • 78

Example 5Example 5

Estimate the quotient by rounding.Estimate the quotient by rounding.

3030263 ÷ 9263 ÷ 9

Example 6Example 6

Estimate the quotient by rounding.Estimate the quotient by rounding.

40401,149 ÷ 341,149 ÷ 34

Example 6Example 6

Estimate the sum of 373 + 224 using front-end estimation. Then adjust the answer to get a more accurate estimate.

Estimate the sum of 373 + 224 using front-end estimation. Then adjust the answer to get a more accurate estimate.

Example 7Example 7

Estimate the difference of 34,289 − 18,192 using front-end estimation. Adjust to get a more accurate estimate.

Estimate the difference of 34,289 − 18,192 using front-end estimation. Adjust to get a more accurate estimate.

Example 8Example 8

Round to the nearest ten.Round to the nearest ten.

850850847847

ExampleExample

Round to the nearest ten.Round to the nearest ten.

32,43032,43032,42532,425

ExampleExample

Round to the nearest hundred.Round to the nearest hundred.

54,90054,90054,94154,941

ExampleExample

Round to the nearest hundred.Round to the nearest hundred.

17,00017,00016,99016,990

ExampleExample

Estimate by rounding to the highest place value.Estimate by rounding to the highest place value.

14014092 + 4892 + 48

ExampleExample

Estimate by rounding to the highest place value.Estimate by rounding to the highest place value.

1,0001,0003,247 − 1,9273,247 − 1,927

ExampleExample

Estimate by rounding to the highest place value.Estimate by rounding to the highest place value.

160,000160,000249 × 792249 × 792

ExampleExample

Estimate by rounding to the highest place value.Estimate by rounding to the highest place value.

2002004,129 ÷ 194,129 ÷ 19

ExampleExample

Estimate by rounding to the highest place value.Estimate by rounding to the highest place value.

5050347 ÷ 6347 ÷ 6

ExampleExample

Estimate by rounding to the highest place value.Estimate by rounding to the highest place value.

32,00032,00042,921 − 8,41642,921 − 8,416

ExampleExample

Mr. Brown drove his new car for 76,845 mi. He sold the car to his brother, who drove it for 34,923 mi. Estimate the total mileage to the nearest thousand miles.

Mr. Brown drove his new car for 76,845 mi. He sold the car to his brother, who drove it for 34,923 mi. Estimate the total mileage to the nearest thousand miles.

112,000 mi.112,000 mi.

ExerciseExercise

Mr. Wilson bought a new car for $19,875. He later sold the car for $9,495. Estimate the difference to the nearest hundred dollars.

Mr. Wilson bought a new car for $19,875. He later sold the car for $9,495. Estimate the difference to the nearest hundred dollars.

$10,400$10,400

ExerciseExercise

Mr. Ricks test-drove a car that was on sale for $15,990. He asked the dealer to add optional equipment costing $899. Estimate the total cost to the nearest hundred dollars.

Mr. Ricks test-drove a car that was on sale for $15,990. He asked the dealer to add optional equipment costing $899. Estimate the total cost to the nearest hundred dollars. $16,900$16,900

ExerciseExercise

Use front-end estimation to estimate the total cost of Jesselyn’s lunch. Then give a more accurate estimate. She purchased a cheeseburger for $3.59, french fries for $1.44, a fruit cup for $1.39, and a soft drink for $0.99.

Use front-end estimation to estimate the total cost of Jesselyn’s lunch. Then give a more accurate estimate. She purchased a cheeseburger for $3.59, french fries for $1.44, a fruit cup for $1.39, and a soft drink for $0.99.

ExerciseExercise