McGraw Hill Math

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 5 Rounding Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 1 Lesson 5 Rounding Numbers

Round
Round each number to the place of the underlined digit.
Question 1.
832 ______
830
Answer:
832 = 830.

Explanation:
Rounded number to the place 832 = 830.

Question 2.
784 _______
Answer:
784 = 780.

Explanation:
Rounded number to the place 784 = 780.

Question 3.
6,688 _______
Answer:
6,688 = 6,700.

Explanation:
Rounded number to the place 6,688 = 6,700.

Question 4.
73,542 _______
Answer:
73,542 = 73,600.

Explanation:
Rounded number to the place 73,542 = 73,600.

Question 5.
54,233 _______
Answer:
54,233 = 50,000.

Explanation:
Rounded number to the place 54,233 = 50,000.

Question 6.
650,174 _______
Answer:
650,174 = 700,000.

Explanation:
Rounded number to the place 650,174 = 700,000.

Question 7.
248,535 _______
Answer:
248,535 = 250,000.

Explanation:
Rounded number to the place 248,535 = 250,000.

Question 8.
490,526 ______
Answer:
490,526 = 490,520.

Explanation:
Rounded number to the place 490,526 = 490,520.

Question 9.
When rounded to the nearest thousand, which number would be rounded to 4,000? Place a check mark beside your answer.
____ 3,481 ____ 3,542 ___ 5,000 ____ 4,769
Answer:
When rounded to the nearest thousand, 3,542 would be rounded to 4,000.

Explanation:
Nearest thousand:
3,481 = 3,000.
3,542 = 4,000.
5,000 = 5,000.
4,769 = 5,000.*

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 1 Prime and Composite Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 4 Lesson 1 Prime and Composite Numbers

Identify
Identify each number as prime or composite.
Question 1.
4 composite
Answer:
4 = composite number.

Explanation:
Factors of 4:
1 × 4 = 4.
2 × 2 = 4.

Question 2.
7 _____
Answer:
7 = Prime number.

Explanation:
Factors of 7:
1 × 7 = 7.

Question 3.
12 _____
Answer:
12 = Composite number.

Explanation:
Factors of 12:
1 × 12 = 12.
2 × 6 = 12.
3 × 4 = 12.

Question 4.
29 _____
Answer:
29 = Prime number.

Explanation:
Factors of 29:
1 × 29 = 29.

Question 5.
58 _____
Answer:
58 = Composite number.

Explanation:
Factors of 58:
1 × 58 = 58.
2 × 29 = 58.

Question 6.
23 _____
Answer:
23 = Prime number.

Explanation:
Factors of 23:
1 × 23 = 23.

Question 7.
Taylor said that if you multiply two prime numbers, the product is also a prime number. Do you agree? Why or why not?
Answer:
Yes, I agree with Taylor if you multiply two prime numbers, the product is also a prime number because there are infinitely many prime numbers, there are also infinitely many semiprimes.

Explanation:
In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime numbers, there are also infinitely many semiprimes.

Question 8.
Kayla asked her friends what season they liked best. 15 friends said summer. 11 friends said winter. 8 friends said spring. 4 friends said fall. Which season did a prime number of friends vote for?
Answer:
Winter season has a prime number of friends vote for because it has factors as itself and one.

Explanation:
Number of friends said summer season = 15.
Number of friends said winter season = 11.
Number of friends said spring season = 8.
Number of friends said fall season = 4.
Factors of 15:
1 × 15 = 15.
3 × 5 = 15.
Factors of 11:
1 × 11 = 11.
Factors of 8:
1 × 8 = 8.
2 × 4 = 8.
Factors of 4:
1 × 4 = 4.
2 × 2 = 4.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 4 Comparing Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 1 Lesson 4 Comparing Numbers

Compare each pair of numbers. Write <, >, or = for each.

Question 1.
423 < 856
Answer:
423 < 856.

Explanation:
423 is lesser than 856.

Question 2.
387 _____ 239
Answer:
387 > 239.

Explanation:
387 is greater than 239.

Question 3.
8,235 ___ 4,901
Answer:
8,235 > 4,901.

Explanation:
8,235 is greater than 4,901.

Question 4.
67,354 ____ 69,220
Answer:
67,354 < 69,220.

Explanation:
67,354 is lesser than 69,220.

Question 5.
712 ____ 2,364
Answer:
712 < 2,364.

Explanation:
712 is lesser than 2,364.

Question 6.
340,082 ___ 340,042
Answer:
340,082 > 340,042.

Explanation:
340,082 is greater than  340,042.

Question 7.
53,713 ___ 53,713
Answer:
53,713 = 53,713.

Explanation:
53,713 is equal to 53,713.

Question 8.
230,675 ___ 23,675
Answer:
230,675 > 23,675.

Explanation:
230,675 is greater than 23,675.

Question 9.
Write four numbers that are greater than 640,000 but less than 645,000.
Answer:
Four numbers that are greater than 640,000 but less than 645,000:
643,500
642,950.
644,100.
644,990.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 2 Factor Pairs to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 4 Lesson 2 Factor Pairs

Factor
Find all the factor pairs of each number.
Question 1.
7 1 and 7
Answer:
Factor pairs of 7:
1 × 7 = 7.

Question 2.
6 _____
Answer:
Factors pairs of 6:
1 × 6 = 6.
2 × 3 = 6.

Question 3.
16 _____
Answer:
Factor pairs of 16:
1 × 16 = 16.
2 × 8 = 16.
4 × 4 = 16.

Question 4.
22 _____
Answer:
Factor pairs of 22:
1 × 22 = 22.
2 × 11 = 22.

Question 5.
35 _____
Answer:
Factor pairs of 35:
1 × 35 = 35.
5 × 7 = 35.

Question 6.
48 _____
Answer:
Factor pairs of 48:
1 × 48 = 48.
2 × 24 = 48.
3 × 16 = 48.
4 × 12 = 48.
6 × 8 = 48.

Question 7.
Mr. Brown now has 100 cans. He wants to arrange them on a large table in his store. What are all the factor pairs of 100?
Answer:
All the factor pairs of 100:
1 × 100 = 100.
2 × 50 = 100.
4 × 25 = 100.
5 × 20 = 100.
10 × 10 = 100.

Explanation:
Number of cans Mr. Brown now has = 100.
Multiples of 100:
1 × 100 = 100.
2 × 50 = 100.
4 × 25 = 100.
5 × 20 = 100.
10 × 10 = 100.

Question 8.
Antonio says that 2 is always a factor for even numbers. Is he correct? Why or why not?
Answer:
2 is an even number so the 2 is always a factor for even numbers.

Explanation:
Even Numbers are integers that are exactly divisible by 2, whereas an odd number cannot be exactly divided by 2.
2 is an even number.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 3 Place Value Relationships to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 1 Lesson 3 Place Value Relationships

Multiply and Divide

Question 1.
In 153, the 5 has a value of 50. Move the 5 one place to the left. What is the value of the digit 5 now?
500
Answer:
Value of the digit 5 now = 500.

Explanation:
In 153, the 5 has a value of 50.
Move the 5 one place to the left.
=> 513.
=> Value of the digit 5 now = 5 × 100 = 500.

Question 2.
In 782, the 7 has a value of 700. Move the 7 one place to the right. What is the value of the digit 7 now?
Answer:
Value of the digit 7 now = 70.

Explanation:
In 782, the 7 has a value of 700.
Move the 7 one place to the right.
=> 872.
Value of the digit 7 now = 7 × 10 = 70.

Question 3.
In 680, the 6 has a value of 600. Move the 6 one place to the left. What is the value of the digit 6 now?
Answer:
Value of the digit 6 now = 6,000.

Explanation:
In 680, the 6 has a value of 600.
Move the 6 one place to the left.
=> 6080.
Value of the digit 6 now = 6 × 1000 = 6,000.

Question 4.
In 658,942, the 4 has a value of 40. Move the 4 one place to the right. What is the value of the digit 4 now?
Answer:
Value of the digit 4 now  = 4.

Explanation:
In 658,942, the 4 has a value of 40.
Move the 4 one place to the right.
=> 658,924.
Value of the digit 4 now = 4 × 1 = 4.

Question 5.
In 47, the 4 has a value of 40. Move the 4 three places to the left. What is the value of the digit 4 now? How do you know?
Answer:
Value of the digit 4 now = 40,000.

Explanation:
In 47, the 4 has a value of 40.
Move the 4 three places to the left.
=> 40,007.
Value of the digit 4 now = 4 × 10,000 = 40,000.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 3 Multiples of 2, 5, and 9 to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 4 Lesson 3 Multiples of 2, 5, and 9

Identify
Write yes or no for each question.
Question 1.
Is 12 a multiple of 2? yes
Answer:
Yes, 12 is a multiple of 2.

Explanation:
Multiples of 12:
1 × 12 = 12.
2 × 6 = 12.
3 × 4 = 12.

Question 2.
Is 40 a multiple of 5? ____
Answer:
Yes, 40 is a multiple of 5.

Explanation:
Multiples of 40:
1 × 40 = 40.
2 × 20 = 40.
4 × 10 = 40.
5 × 8 = 40.

Question 3.
Is 76 a multiple of 5? ____
Answer:
No, 76 is not a multiple of 5.

Explanation:
Multiples of 76:
1 × 76 = 76.
2 × 38 = 76.
4 × 19 = 76.

Question 4.
Is 30 a multiple of 2? ____
Answer:
Yes, 30 is a multiple of 2.

Explanation:
Multiple of 30:
1 × 30 = 30.
2 × 15 = 30.
3 × 10 = 30.
5 × 6 = 30.

Question 5.
Is 43 a multiple of 9? ____
Answer:
No, 43 is not a multiple of 9.

Explanation:
Multiples of 43:
1 × 43 = 43.

Question 6.
Is 54 a multiple of 9? ____
Answer:
Yes, 54 is a multiple of 9.

Explanation:
Multiples of 54:
1 × 54 = 54.
2 × 27 = 54.
3 × 18 = 54.
6 × 9 = 54.

Question 7.
Is 82 a multiple of 5? ____
Answer:
No, 82 is not a multiple of 5.

Explanation:
Multiples of 82:
1 × 82 = 82.
2 × 41 = 82.

Question 8.
Is 75 a multiple of 2? ____
Answer:
No, 75 is not a multiple of 2.

Explanation:
Multiples of 75:
1 × 75 = 75.
3 × 25 = 75.
5 × 15 = 75.

Question 9.
How do you know that 71 is not a multiple of 2? Explain.
Answer:
71 is not a multiple of 2 because it is not a factor.

Explanation:
Multiple of 71:
1 × 71 = 71.

Question 10.
How do you know that 45 is a multiple of both 5 and 9? Explain.
Answer:
Yes, 45 is a multiple of 5 and 9 because they are factors of it.

Explanation:
Multiples of 45:
1 × 45 = 45.
3 × 15 = 45.
5 × 9 = 45.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 2 Writing Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 1 Lesson 2 Writing Numbers

Write
Write each number in expanded form.
Question 1.
7,498
7,000 + 400 + 90 + 8
Answer:
Expanded form: 7000 + 400 + 90 + 8.

Explanation:
Expanded form: 7498
=> 7000 + 400 + 90 + 8
=> 7400 + 90 + 8
=> 7490 + 8
=> 7498.

Question 2.
five hundred seventy-one
___________
Answer:
Expanded form: 571 = 500 + 70 + 1

Explanation:
Expanded form:
five hundred seventy-one = 571.
=> 500 + 70 + 1
=> 570 + 1
=> 571.

Write each number in standard form.
Question 3.
300,000 + 40,000 + 9,000 + 500 + 70 + 2
_______________
Answer:
Standard form: 300,000 + 40,000 + 9,000 + 500 + 70 + 2 = 349572.

Explanation:
Standard form:
300,000 + 40,000 + 9,000 + 500 + 70 + 2
=> 340,000 + 9,000 + 500 + 70 + 2
=> 349,000 + 500 + 70 + 2
=> 349,500 + 70 + 2
=>349,570 + 2
=> 349,572.

Question 4.
seventy-two thousand, nine hundred sixty-three
Answer:
Standard form: seventy-two thousand, nine hundred sixty-three = 72,963.

Explanation:
Standard form:
seventy-two thousand, nine hundred sixty-three = 72,963.

Question 5.
Write 500,000 + 30,000 + I ,000 + 700 + 90 + 4 in word form.
Answer:
Word form: 5 lakhs thirty one thousand seven hundred ninety four.

Explanation:
500,000 + 30,000 + I ,000 + 700 + 90 + 4 = 531,794.
Word form:
5 lakhs thirty one thousand seven hundred ninety four.

Question 6.
What is the greatest five-digit number you can write? Write the number in standard form and expanded form.
Answer:
Expanded form: 90000 + 9000 + 900 + 90 + 9.
Standard form: 99,999 = Ninety nine thousand, nine hundred nine.

Explanation:
Expanded form:
Greatest five-digit number = 99,999.
=> 90000 + 9000 + 900 + 90 + 9
=>99,000 + 900 + 90 + 9
=> 99,900 + 90 + 9
=> 99,990 + 9
=> 99,999.
Standard form: 99,999 = Ninety nine thousand, nine hundred nine.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 4 Making Comparison Using Multiplication to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 4 Lesson 4 Making Comparison Using Multiplication

Solve.
Write the answer, and the expression used to find it.
Question 1.
Mr. Novak is making a large pot of soup. His recipe calls for 3 times as many beans as noodles. If he uses 2 cups of noodles, how many cups of beans will he need?
2 × 3 = 6 cups of beans
Answer:
Number of cups of beans he needs = 6.

Explanation:
Number of cups of noodles he uses = 2.
His recipe calls for 3 times as many beans as noodles.
=> Number of cups of beans he needs = 3 × Number of cups of noodles he uses
= 3 × 2
= 6.

Question 2.
Rob and Ryan swim laps in a pool. Ryan swims 3 times as many laps as Rob. If Rob swims 7 laps, how many laps does Ryan swim?
Answer:
Number of laps Ryan swims = 21.

Explanation:
Number of laps Rob swims = 7.
Ryan swims 3 times as many laps as Rob.
=> Number of laps Ryan swims = 3 × Number of laps Rob swims
= 3 × 7
= 21.

Question 3.
Ms. Moreno has 4 times as many spoons as plates. If she has 5 plates, how many spoons does she have?
Answer:
Number of spoons she has = 20.

Explanation:
Number of plates she has = 5.
Ms. Moreno has 4 times as many spoons as plates.
=> Number of spoons she has = 4 × Number of plates she has
= 4 × 5
= 20.

Question 4.
A store has 9 times as many shirts for sale as hats. If the store has 11 hats for sale, how many shirts are for sale?
Answer:
Number of shirts for sale = 99.

Explanation:
Number of hats for sale the store has = 11.
A store has 9 times as many shirts for sale as hats.
=> Number of shirts for sale = 9 × Number of hats for sale the store has
= 9 × 11
= 99.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Lesson 7 Problem Solving: Reasonable Answers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 5 Lesson 7 Problem Solving: Reasonable Answers

Solve

Make an estimate to show that each answer is reasonable.

Question 1.
Ms. Hunter spends $42 a week on groceries. How much money will she spend in 52 weeks?
Estimate: $2,000; Answer: $2,184
So far this year, Ms. Hunter has spent $1,324 on groceries. How much more will she spend this year?
________________
Answer:

Explanation:
2100 – 1300 = 800 he spend this year

Question 2.
There are 12 large cages in a pet store. The owner puts 18 birds in each cage. How many birds are in the pet store?
Answer:

Explanation:
There are 12 large cages
in each cage 18 birds
so, 12 x 18 = 216
total 216 birds.

Question 3.
A children’s library room has 6,729 children’s nonfiction books, 4,902 picture books, and 5,886 children’s fiction books. How many children’s books doés the library have in all?
Answer:
Library has 18000 books in all.
Explanation:
6,729 children’s nonfiction books
5,886 children’s fiction books
4,902 picture books
so, 6729 + 5886 + 4902 = 17517 books
we can estimate as 7000 + 5000 + 6000 = 18000 books

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Test to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Chapter 5 Test Answer Key

Find each product using partial products. You can draw pictures for each problem on another sheet of paper.

Question 1.

Answer:

Explanation:
The product of 16 and 4 is 64
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 2.

Answer:

Explanation:
The product of 58 and 6 is 348
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 3.

Answer:

Explanation:
The product of  97 and 8 is 776
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 4.

Answer:

Explanation:
The product of  18 and 3 is 54
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 5.

Answer:

Explanation:
The product of  63 and 5 is 315
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 6.

Answer:

Explanation:
The product of  55 and 9 is 495
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Find each product.

Question 7.

Answer:

Explanation:
The product of  266 and 6 is 1596
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 8.

Answer:

Explanation:
The product of  793 and 5 is 3965
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 9.

Answer:

Explanation:
The product of  625 and 8 is 5000
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 10.

Answer:

Explanation:
The product of  4905 and 4 is 19620
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 11.

Answer:

Explanation:
The product of 7990 and 8 is 63920
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 12.

Answer:

Explanation:
The product of  5914 and 3 is 17742
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 13.

Answer:

Explanation:
The product of  532 and 6 is 3192
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 14.

Answer:

Explanation:
The product of  1715 and 8 is 13720
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 15.

Answer:

Explanation:
The product of  9023 and 4 is 36092
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Find each product. You can draw arrays for each problem on another sheet of paper.

Question 16.
42 × 25 = ____
Answer:

Explanation:
The product of 42 x 25 = 1050
take the carried value and place it in the column to the left.
So if you were multiplying numbers in the tens column and you needed to carry a number,
you would place that “number” in the hundreds column.

Question 17.
13 × 29 = ___
Answer:

Explanation:
The product of 13 and 29 is 377

Question 18.
71 × 33 = ___
Answer:

Explanation:
The product of 71 and 33 is 2343

Question 19.
17 × 31 = ___
Answer:

Explanation:
The product of 17 and 31 is 527

Question 20.
24 × 53 = ___
Answer:

Explanation:
The product of 24 and 53 is 1272

Question 21.
49 × 14 = ___
Answer:

Explanation:
The product of 49 and 14 is 686

Find each product using mental math.

Question 22.
400 × 50 = ___
Answer:
20,000
Explanation:
4 x 5 = 20
Adding the remaining zeros

Question 23.
30 × 600 = ___
Answer:
18,000
Explanation:
3 x 6 = 18
Adding the remaining zeros

Question 24.
70 × 400 = ____
Answer:
28,000
Explanation:
7 x 4 = 28
Adding the remaining zeros

Use rounding or compatible numbers to estimate each product.

Question 25.
52 × 61 = ___
Answer:
3000
Explanation:
52 is rounded to 50
and 61 is rounded to 60
5 x 6 = 30
adding the remaining zeros

Question 26.
47 × 11 = ___
Answer:
500
Explanation:
47 is rounded to 50
11 is rounded to 10
5 x 1 = 5
adding the remaining zeros.

Question 27.
897 × 9 = ___
Answer:
8100
Explanation:
897 is rounded to 900
9 x 9 = 81
adding the remaining zeros

Solve. Make an estimate to show that each answer is reasonable.

Question 28.
A hotel has 239 beds. There are 4 blankets for each bed. How many blankets does the hotel have?
_____________________
The hotel staff washes the blankets. So far, they have washed 402 blankets. How many blankets are left to wash?
_____________________
Answer:
956 blankets in total
554 blankets are left to wash
Explanation:
hotel has 239 beds.
and  4 blankets for each bed.
239 x 4 = 956 blankets
they have washed 402 blankets.
956 – 402 = 554
so, 554 blankets are left to wash

Question 29.
A used car lot has 16 rows of cars to sell. There are 12 cars in each row. How many cars are for sale in the used car lot?
Answer:

Explanation:
16 rows of cars to sell.
There are 12 cars in each row.
16 x 12 = 192
192 cars are for sale in the used car lot

Question 30.
Marco has 31 green marbles, 19 red marbles, and 22 blue marbles. How many marbles does he have in all?
_________________
Nicole has 209 marbles. How many more marbles does Nicole have than Marco?
_________________
Answer:
Marco has 72 marbles
137 more marbles that Nicole have than Marco
Explanation:
31 green marbles, 19 red marbles, and 22 blue marbles.
31 + 19 + 22 = 72 marbles
Nicole has 209 marbles.
209 – 72 = 137

Question 31.
One city has a population of 174,533. A nearby city has 129,054 people. How many people live in the two communities.
Answer:

Explanation:
Let us round 174,533 to 150,000
and 129054 to 150,000
by adding 150,000 + 150,000 = 300,000
in both the communities