All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 6 Lesson 9 Divide Greater Numbers will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 6 Lesson 9 Divide Greater Numbers
Math in My World
Example 1
There are 678 people in line to ride a roller coaster. Each coaster car holds 6 people. How many coaster cars are needed so that everyone in line rides the coaster once?
Divide 678 by 6.
1. Divide the hundreds.
Divide. 6 ÷ 6 = 1
Write 1 in the hundreds place.
Multiply. 6 × 1 = 6
Subtract. 6 – 6 = 0
Compare. 0 < 6
Bring down the tens.
2. Divide the tens.
Divide. There is 1 group of 6 in 7.
Write 1 in the tens place. Multiply. 6 × 1 = 6 Subtract. 7 – 6 = 1 Compare. 1 < 6 Bring down the ones.
678 ÷ 6 = 113.
So, 113 coaster cars are needed.
3. Divide the ones.
Divide. 18 ÷ 6 = 3 Write 3 in the ones place. Multiply. 6 × 3 = 18 Subtract. 18 – 18 = 0 Compare. 0 < 6
Example 2
A roller coaster takes about 4 minutes to travel its 1,970-foot track. How many feet does the coaster travel in one minute?
Divide 1,970 by 4.
Estimate 1,970 4 ÷ 4 → 2,000 ÷ 4 = _____
1. Divide the thousands.
Since is 1 < 4, you cannot divide the thousands.
Answer:
2. Divide the hundreds.
Divide. There are 4 groups of 4 in 19. Multiply. Subtract. Compare. Bring down.
3. Divide the tens.
Divide. There are 9 groups of 4 in 37. Multiply. Subtract. Compare. Bring down.
4. Divide the ones.
Divide. There are 2 groups of 4 in 10. Multiply. Subtract. Compare. Bring down.
So, it travels a little more than ___ feet each minute.
Answer:
It travels a little more than 492 feet each minute.
5. Find the remainder.
Check The answer, a little more than ___, is close to the estimate of 500. So, the answer is reasonable.
Answer:
The answer, a little more than 493, is close to the estimate of 500. So, the answer is reasonable.
The remainder is 2.
Talk Math
How would you mentally determine the number of digits in the quotient for 795 ÷ 5?
Answer:
The number of digits in the quotient for 795 ÷ 5 is 3.
Explanation:
Let us divide the number to check the number of digits.
Guided Practice
Divide. Use estimation to check
Question 1.
Answer:
The division of the given number is 143.
Explanation:
Let us check the answer with multiplication.
143 × 2 = 286
Question 2.
Answer:
The estimated answer is 373.
Explanation:
Let us check the answer with multiplication
372.5 × 2 = 745
Independent Practice
Divide. Use estimation to check.
Question 3.
Estimate:
Answer:
The division of the given number is 162.
Explanation:
Question 4.
Estimate:
Answer:
The division for the given number is 195.
Explanation:
Question 5.
Estimate:
Answer:
The estimated answer is 787.
Explanation:
Divide. Use multiplication to check.
Question 6.
Check:
Answer:
The division for the given number is 262.
Explanation:
Let us check the answer with multiplication.
262 × 3 = 787
Question 7.
Check:
Answer:
The estimated answer is 425.
Explanation:
Let us check the answer by multiplication.
425 × 2 = 850
Question 8.
Check:
Answer:
The estimated answer is 249.
Explanation:
Let us check the answer by multiplication.
248.5 × 4 = 994.
Question 9.
Check:
Answer:
The division for the given question is 621.
Explanation:
Let us check the answer by multiplication.
621 × 3 = 1863
Question 10.
Check:
Answer:
The estimated answer is 994.
Explanation:
Let us check the answer by multiplication.
993.5 × 4 = 3974.
Question 11.
Check:
Answer:
The estimated answer is 653.
Explanation:
Let us check the answer by multiplication.
653 × 4 = 2612
Problem Solving
Use the following information for Exercises 12-13.
The White House is the official home and workplace of the President of the United States. President Theodore Roosevelt gave the White House its name, based on its color.
Question 12.
Mathematical PRACTICE 2 Reason It takes 570 gallons of paint to paint the outside of the White House. If the number of gallons used to paint each of its 4 sides is equal, how many gallons of paint are used on each side?
Answer:
There are 143 gallons of paint are used on each side.
Explanation:
Given,
No of gallons of paint = 570 gallons
f the number of gallons used to paint each of its 4 sides is equal
570 ÷ 4 = 142.5 approximately 143 gallons of paint.
Question 13.
There are 132 rooms and 6 floors in the White House. If each floor has the same number of rooms, how many rooms would each floor have?
Answer:
792 rooms.
Explanation:
Given,
No of floors = 6
No of rooms = 132
To find: how many rooms would each floor have?
132 × 6 = 792 rooms.
Hence there are 792 rooms on each floor.
Question 14.
Britney reads a book in 9 days. If the book is 1,116 pages long, and she reads the same number of pages each day, how many pages does she read each day?
Answer:
Britney read 124 pages each day.
Explanation:
Given,
Britney reads a book in 9 days.
The book has 1116 pages.
1116 ÷ 9 = 124
Hence she read 124 pages each day.
HOT Problems
Question 15.
Mathematical PRACTICE 1 Make a Plan Write a division problem that results in a quotient that is greater than 200 and less than 250.
Answer:
A division problem that gives in a quotient that is greater than 200 and less than 250 is 300 which is divided by 1.25 is equal to 240.
Question 16.
? Building on the Essential Question Do the quotients always have the same number of digits when dividing 3-digit numbers by 1-digit numbers?
Answer:
No, quotients don’t have the same number of digits when dividing 3-digit numbers by 1-digit numbers.
Explanation:
Let us take the 3-digit number as 100
1 digit number = 2
The division is 100 ÷ 2 = 50 which has 2 digits.
the 3 digit number is 300
1 digit number is 2
The division is 300 ÷ 2 = 150 which has 3 digits.
McGraw Hill My Math Grade 4 Chapter 6 Lesson 9 My Homework Answer Key
Practice
Divide. Use estimation or multiplication to check.
Question 1.
Answer:
The division of the given number is 178.
Explanation:
Let us check the answer with multiplication
178 × 3 = 534
Question 2.
Answer:
The estimated answer is 394.
Explanation:
Let us check the answer with multiplication.
394 × 7 = 2758.
Question 3.
Answer:
The estimated answer is 213.
Explanation:
Let us check the answer by doing multiplication
213 × 4 = 852.
Question 4.
Answer:
The estimated answer is 134.
Explanation:
Let us check the answer by doing multiplication
134 × 8 = 1072
Question 5.
Answer:
The estimated answer is 669.
Explanation:
Let us check the answer by doing multiplication
669 × 5 = 3345
Question 6.
Answer:
The answer for the given division is 874.
Explanation:
Let us check the answer by doing multiplication
874 × 6 = 5244
Problem Solving
Question 7.
Ann needs to read 414 pages in 3 days. How many pages should she read each day?
Answer:
138 pages.
Explanation:
Given,
No of pages Ann read = 414
No of pages = 3
To find: How many pages should she read each day?
414 ÷ 3 = 138 pages.
Hence there are 138 pages she read each day.
Question 8.
Mathematical PRACTICE 5 Use Math Tools Marcel received an award for community service. The award included a check for $2,265. Three businesses each contributed the same amount toward the prize money. How much did each business contribute?
Answer:
$775.
Explanation:
Given,
The award included a check for $2,265.
Three businesses each contributed the same amount toward the prize money
$2265 ÷ 3
= $775
Hence each business contributes $775.
Test Practice
Question 9.
Eric collected 560 books to donate to a preschool. The books were divided equally among 5 classrooms. How many books did each classroom get?
A. 112 books
B. 110 books
C. 132 books
D. 512 books
Answer:
112 books.
Explanation:
Given,
Eric collected 560 books to donate to a preschool.
The books were divided equally among 5 classrooms.
560 ÷ 5 = 112 books.
Therefore each classroom got 112 books.