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one million. two billion three hundred thousand. forty - two hundredths. one hundred fifty-two millionths. two million three hundred thirty-five thousand and sixty-seven hundredths. Rounding (+) Numbers. Identify the place to which you are rounding. Rounding (+) Numbers.
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two million three hundred thirty-five thousand and sixty-seven hundredths
Rounding (+) Numbers • Identify the place to which you are rounding.
Rounding (+) Numbers • 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 (+) Numbers • Change all digits to the right of the rounding place to zeros.
Example 1 Round 7,384 to each indicated place. 7,000 thousand:
Example 1 Round 7,384 to each indicated place. 7,400 hundred:
Example 1 Round 7,384 to each indicated place. 7,380 ten:
Example 2 Round 15,469.7482 to each indicated place. 15,469.7 tenth:
Example 2 Round 15,469.7482 to each indicated place. 20,000 ten thousand:
Example 2 Round 15,469.7482 to each indicated place. 15,469.75 hundredth:
Example 3 Estimate the sum of 17,436 + 43,519 by rounding each addend to its highest place value. 60,000
Example 4 Estimate the difference of 60.09241 – 3.0483 by rounding each addend to the nearest hundredth. 57.04
Example 5 Estimate the product by rounding. 3,600 42 • 87
Example 5 Estimate the product by rounding. 72,000 942 • 78
Example 6 Estimate the quotient by rounding. 30 263 ÷ 9
Example 6 Estimate the quotient by rounding. 40 1,149 ÷ 34
Example 7 Estimate the sum of 373 + 224 using front-end estimation. Then adjust the answer to get a more accurate estimate.
Example 8 Estimate the difference of 34,289 − 18,192 using front-end estimation. Adjust to get a more accurate estimate.
Example Round to the nearest ten. 850 847
Example Round to the nearest ten. 32,430 32,425
Example Round to the nearest hundred. 54,900 54,941
Example Round to the nearest hundred. 17,000 16,990
Example Estimate by rounding to the highest place value. 140 92 + 48
Example Estimate by rounding to the highest place value. 1,000 3,247 − 1,927
Example Estimate by rounding to the highest place value. 160,000 249 × 792
Example Estimate by rounding to the highest place value. 200 4,129 ÷ 19
Example Estimate by rounding to the highest place value. 50 347 ÷ 6
Example Estimate by rounding to the highest place value. 32,000 42,921 − 8,416
Exercise 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.
Exercise 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
Exercise 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
Exercise 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.