All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 5 Use Place Value to Round will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 1 Lesson 5 Use Place Value to Round
Math in My World
Example 1
The largest extreme sports competition, called X-Cames, is so popular that one year, 268,390 people attended. What is 268,390 rounded to the nearest ten thousand?
Look at the number line. 268,390 is between 260,000 and 270,000.
Since 268,390 is closer to ____ than
____, 268,390 rounds to _____
Answer:
268,390 is closer to 270,000 than 260,000.
268,390 rounds to 270,000.
Example 2
A record was set when 569,069 people jumped up and down for one minute. About how many people set this record? Round 569,069 to the nearest hundred thousand.
1. Circle the digit in the place to be rounded.
569,069
2. Underline the digit to the right of the place being rounded.
3. If the underlined digit is 4 or less, do not change the circled digit. If the underlined digit is 5 or greater, add 1 to the circled digit. → 
← Replace all digits after the circled digit with zeros.
So, about ____ people set this record.
Answer:
Given that,
The number is 569,069
569,069 rounded to the nearest hundred thousand is 600,000
In the number 569,069 the ten thousand place is greater than the 50,000. So, replace the ten thousand, thousand, hundred, tens, ones by 0 and increase 1 in the hundred thousand place.
Check
Use a number line. 569,069 is closer to ___ than 500,000.
Answer:
The 569,069 is closer to 600,000 then 500,000.
Talk Math
What is the least number that you can round to the thousands place to get 8,000? Explain.
Answer:
The least number that you can round to the thousands place to get the 8,000 is 8449.
Guided Practice
Round to the given place-value position.
Question 1.
2,221; thousands _____
Answer:
Given that,
The number is 2,221.
2,221 rounded to the nearest thousands is 2,000.
In the number 2,221 the hundreds place is less than the 500. So, replace the hundreds, tens, ones place by 0.
Question 2.
78,214; ten thousands ____
Answer:
Given that,
The number is 78,214.
78,214 rounded to the nearest ten thousand is 80,000.
In the number 78,214 the thousands place is greater than 5000. So replace the thousands, hundreds, tens, ones place by 0 and increase 1 in the ten thousands place.
Question 3.
581,203; hundred thousands ____
Answer:
Given that,
The number is 581,203.
581,203 rounded to the nearest hundred thousands is 600,000.
In the number 581,203 the ten thousand place is greater than the 50,000. So, replace the ten thousands. thousand, hundreds, tens, ones place by 0 and increase 1 in the hundred thousands place.
Independent Practice
Round to the given place-value position.
Question 4.
500,580; thousands
Answer:
Given that,
The number is 500,580.
500,580 rounded to the nearest thousand is
Question 5.
290,152; hundred thousands
Answer:
Given that,
The number is 290,152.
290,152 rounded to the nearest hundreds thousands is 300,000.
In the number 290,152 the ten thousands place is greater than the 50,000. So replace the ten thousands, thousands, hundreds, tens, ones by 0 and increase 1 in the hundreds place.
Question 6.
218,457; hundred thousands
Answer:
Given that,
The number is 218,457.
The 218,457 rounded to the nearest hundred thousand is 200,000.
In the number 218,457 the ten thousand place is less than the 50,000. So, replace the ten thousand, thousand, hundred, tens, ones place by 0.
Question 7.
37,890; hundreds
Answer:
Given that,
The number is 37,890.
37,890 rounded to the nearest hundred is 37,900.
In the number 37,890 the tens place is greater than the 50. So replace the tens ones place by 0 and increase 1 in the hundreds place.
Question 9.
845,636; ten thousands
Answer:
Given that,
The number is 845,636.
845,636 rounded to the nearest ten thousand is 850,000.
In the number 845,636 the thousands place is greater than the 5000, So replace the thousand, hundreds, tens, ones place by 0 and increase 1 in the ten thousands place.
Tell the place-value position to which each number was rounded.
Question 12.
456,750 → 460,000
Answer:
456,750 rounded to the nearest ten thousands is 460,000.
Question 13.
38,124 → 38,120
Answer:
38,124 rounded to the nearest ten is 38,120.
Question 14.
18,334 → 18,000
Answer:
18,334 rounded to the nearest thousand is 18,000.
Question 15.
455,670 → 455,700
Answer:
455,670 rounded to the nearest hundred is 455,700.
Question 16.
980,065 → 980,070
Answer:
980,067 rounded to the nearest ten is 980,070.
Question 17.
162,245 → 200,000
Answer:
162,245 rounded to the nearest hundred thousand is 200,000.
Problem Solving
A natural gas and fuel-friendly car was used to set a world record.
Question 18.
What is the distance in miles traveled to the nearest ten thousand?
Answer:
Given that,
The distance in miles is 23,697.
23,697 rounded to the ten thousand is 20,000.
In the number 23,697 the thousands place is less than the 5000. So, replace the thousands, hundreds, tens, ones place by 0.
Question 19.
Round the distance traveled in kilometers to the nearest thousand.
Answer:
Given that,
The distance traveled in kilometers is 38,137.
38,137 rounded to the nearest thousand is 39,000.
In the number 38,137 the hundreds place is less than 500. So, replace the hundred, tens, ones place by 0 and thousands place is increase by 1.
Question 20.
The largest house made out of playing cards used 91,800 cards. To the nearest thousand, how many cards were used?
Answer:
Given that,
The total numb er of cards used is 91,800.
91,800 rounded to the thousand is 92,000.
In the number 91,800 the hundreds place is greater than the 500. So replace the hundred, tens, ones, place by 0 and increase 1 in the thousands place.
Question 21.
Mathematical PRACTICE 6 Explain to a Friend Earth’s deepest point is the Mariana Trench in the Pacific Ocean. It is 35,840 feet below sea level. Is this about 36,000 feet below sea level? Explain.
Answer:
Given that,
The Earth’s deepest point is the Mariana Trench it is in the Pacific Ocean.
Its level is 35,840.
35,840 rounded to the nearest thousand is 36,000.
HOT Problems
Question 22.
Mathematical PRACTICE 3 Find the Error Andrew rounded the number 672,726 to the nearest hundred thousand. He wrote 672,000. Find and correct his mistake.
Answer:
672,000 is the wrong answer.
672,726 rounded to the nearest hundred thousand is 700,000
In the number 672,726 the ten thousands place is greater than the 50,000. So replace the ten thousands, thousands, hundreds, tens, ones place by 0 and increase 1 in the hundred thousands place.
Question 23.
? Building on the Essential Question When is estimation an effective way to determine an answer?
Practice
Answer:
The effective way to determine the answer is the estimation. and it is also an effective way to determine whether the answer is reasonable or not.
McGraw Hill My Math Grade 4 Chapter 1 Lesson 5 My Homework Answer Key
Round each number to the given place-value position.
Question 1.
64,569; thousands
Answer:
Given that,
The number is 64,569.
64,569 rounded to the nearest thousand is 65,000.
In the number 64,569 the hundreds place is greater than the 500. So replace the hundreds, tens, ones place by 0 and add 1 to the thousands place.
Question 2.
155,016; thousands
Answer:
Given that,
The number is 155,016.
155,016 rounded to the thousands place is 155,000.
In the number 155,016 the hundreds place less than 500. So, replace the hundreds, tens, ones place by 0.
Question 3.
73,569; ten thousands
Answer:
Given that,
The number is 73,569.
73,569 rounded to the nearest ten thousands place is 70,000.
In the number 73,569 the thousands place is less than the 5000. So replace the hundreds, tens, and ones place by 0.
Question 4.
708,569; ten thousands
Answer:
Given that,
The number is 708,569.
708,569 rounded to the nearest ten thousands place is 710,000.
In the number 708,569 the thousands place is greater than the 5000. So replace the thousands, hundreds, tens, ones place by 0 and add 1 to to the ten thousands place.
Question 5.
91,284; hundred thousands
Answer:
Given that,
The number is 91,284.
91,284 rounded to the nearest hundred thousands place is 100,000.
In the number 91,284 the ten thousands place is greater than the 50,000. So, the replace the ten thousands, thousands, hundreds, tens, ones place by 0 and place the 1 in the hundred thousands place.
Question 6.
265,409; hundred thousands
Answer:
Given that,
The number is 265,409.
265,409 rounded to the nearest hundred thousands place is 270,000.
In the number 265,409 the ten thousands place is greater than the 50,000. So replace thousands, hundreds, tens, ones place by 0 and increase 1 in the ten thousands place.
Problem Solving
Question 7.
Luis and his family flew 51,487 miles last summer while on vacation. Rounded to the nearest thousand, how many miles did they fly?
Answer:
Given that,
The Luis and his family flew in last simmer on vacation is 51,487 miles.
The 51,487 rounded to the nearest thousand place is 51,000.
In 51,487 the hundreds place is less than the 500. so replace the hundreds, tens, ones place by 0.
Therefore the Luis and his family fly 51,000 miles.
Question 8.
Miles bought a car that cost $23,556. To the nearest ten thousand, how much did the car cost?
Answer:
Given that,
The cost of a car is $23,556.
$23,556 rounded to the nearest ten thousand is $20,000.
In $23,556 the thousands place is less than 5000. So, we are round down the digits from thousands place to ones place.
Question 9.
Explain how you would round the numbers 33 and 89 to estimate their sum.
Answer:
The number 33 rounded to the nearest ten is 30.
The number 89 rounded to the nearest ten is 90
The sum of 30 and 90 is 30 + 90 = 120.
120 is the estimated sum of 33 + 89.
Use the data from the table for Exercises 10-12.
Question 10.
Mathematical PRACTICE 5 Use Math Tools Which ocean has an average depth of about 12,000 feet, to the nearest thousand?
Answer:
Given that,
The depth of the Pacific Ocean is 12,925.
The depth of the Atlantic Ocean is 11,730.
The depth of the Indian Ocean is 12,598.
The 11,730 is rounded to the nearest thousand is 12,000.
Therefore the Atlantic Ocean has the average depth of 12,000 feet.
Question 11.
What is the depth of the Pacific Ocean rounded to the nearest ten thousand?
Answer:
Given that,
The depth of the Pacific Ocean is 12,925.
12,925 rounded to the nearest ten thousand is 10,000
In 12,925 the thousands place is less than 5000. So, we are round down the digits from thousands place to ones place.
Question 12.
What is the depth of the Indian Ocean rounded to the nearest thousand?
Answer:
Given that,
The depth of the Indian Ocean is 12,598.
12,598 rounded to the nearest ten thousand is 10,000
In 12598 the thousands place is less than 5000. So, we are round down the digits from thousands place to ones place.
Test Practice
Question 13.
What is 104,229 rounded to the nearest ten thousand?
A. 90,000
B. 100,000
C. 104,000
D. 110,000
Answer:
The number 104,229 rounded to the nearest ten thousand is 100,000.
Option B is the correct answer.