McGraw Hill Math

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 5 Comparing Through Multiplication and Addition to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 4 Lesson 5 Comparing Through Multiplication and Addition

Solve.
Write the answer, and the expression used to find it.
Question 1.
Ms. Link’s recipe calls for 4 times as many peas as onions. If she uses 2 cups of onions, how many cups of peas will she need?
4 × 2 = 8 cups of peas

Answer:
Number of cups of peas she needs = 8.

Explanation:
Ms. Link’s recipe calls for 4 times as many peas as onions.
Number of cups of onions she uses = 2.
Number of cups of peas she needs = 4 × Number of cups of onions she uses
= 4 × 2
= 8.

Question 2.
Ava builds a model of a racecar. The model is 1 foot long. The actual racecar is 13 times as long as the model. How long is the racecar?
Answer:
Number of feet the racecar = 13.

Explanation:
Number of feet the model = 1.
The actual racecar is 13 times as long as the model.
=> Number of feet the racecar = 13 × Number of feet the model
= 13 × 1
= 13.

Question 3.
Luis biked 455 yards today, and Alex biked 298 yards. If Alex bikes 475 yards tomorrow, how far will Luis bike if they increase their length by the same amount?
Answer:
Number of yards Luis biked tomorrow = 930.

Explanation:
Number of yards Luis biked today = 455.
Number of yards Alex biked = 298.
Number of yards Alex biked  tomorrow = 475.
If they increase their length by the same amount;
Number of yards Luis biked tomorrow = Number of yards Luis biked today + 475
= 455 + 475
= 930.

Question 4.
Haru has 9  marbles. Damon has 5 times as many marbles as Haru. How many marbles does Damon have?
Answer:
Number of marbles Damon has = 45.

Explanation:
Number of marbles Haru has = 9.
Damon has 5 times as many marbles as Haru.
=> Number of marbles Damon has = 5 × Number of marbles Haru has
= 5 × 9
= 45.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 6 Problem Solving: Variables to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 4 Lesson 6 Problem Solving: Variables

Solve

Write the answer and the expression used to find it.

Question 1.
Mr. Young’s recipe calls for 6 times as much lettuce as peas. If he has 12 cups of lettuce, how many cups of peas does he need?
y × 6 = 12; 12 ÷ 6 = 2 cups of peas

Answer:
Number of cups of peas he needs = 2.

Explanation:
Mr. Young’s recipe calls for 6 times as much lettuce as peas.
Number of cups he has of lettuce = 12.
Number of cups of peas he needs = Number of cups he has of lettuce  ÷ 6
= 12 ÷ 6
= 2.

Question 2.
A carousel has 8 times as many red horses as blue horses. If there are 32 red horses on the carousel, how many blue horses are there?
Answer:
Number of blue horses = 4.

Explanation:
Number of red horses = 32.
A carousel has 8 times as many red horses as blue horses.
=> Number of blue horses = Number of red horses ÷ 8
= 32 ÷ 8
= 4.

Question 3.
Meg has 36 oranges. She puts them into 4 bags. If she puts an equal number of oranges in each bag, how many oranges are in each bag?
Answer:
Number of oranges in each bag = 9.

Explanation:
Number of oranges Meg has = 36.
Number of bags she puts them = 4.
Number of oranges in each bag = Number of oranges Meg has ÷ Number of bags she puts them
= 36 ÷ 4
= 9.

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

McGraw-Hill Math Grade 4 Answer Key Chapter 4 Lesson 7 Problem Solving: Multistep Problems

Solve.
Write the answer and the number sentences you use.
Question 1.
Eric mows 4 lawns each week. Peter mows 3 times as many lawns as Eric. How many lawns does Peter mow each week?
3 × 4 = 12 lawns
Peter gets paid 8 dollars per lawn. How much does Peter earn each week?
_____________________
Answer:
Number of lawns Peter mows each week = 12.
Number of dollars Peter gets paid per week = 96.

Explanation:
Number of lawns Eric mows each week = 4.
Peter mows 3 times as many lawns as Eric.
=> Number of lawns Peter mows each week = 3 × Number of lawns Eric mows each week
= 3 × 4
= 12.
Number of dollars Peter gets paid per lawn = 8.
Number of dollars Peter gets paid per week = Number of lawns Peter mows each week × Number of dollars Peter gets paid per lawn
= 12 × 8
= 96.

Question 2.
Mrs. Kumar puts one vase on each of 6 tables. There are 5 flowers in each vase. How many flowers does she use?
______________________
19 of the flowers are yellow. The rest are white. How many flowers are white?
________________________
Answer:
Number of flowers she uses = 30.
Number of flowers are white = 11.

Explanation:
Number of tables on Mrs. Kumar puts one vase = 6.
Number of flowers in each vase = 5.
Number of flowers she uses = 6 × Number of flowers in each vase
= 6 × 5
= 30.
Number of flowers are yellow = 19.
Number of flowers are white = Number of flowers she uses – Number of flowers are yellow
= 30 – 19
= 11.

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

McGraw-Hill Math Grade 4 Chapter 4 Test Answer Key

Identify each number as prime or composite.

Question 1.
16 _____
Answer:
16 = composite number.

Explanation:
A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number.
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
16 = 2 × 8 or 4 × 4.

Question 2.
13 _____
Answer:
13 = Prime number because 1 and itself.

Explanation:
Factors of 13:
13 = 1 × 13.

Question 3.
8 _____
Answer:
8 = composite number.

Explanation:
Factors of 8:
2 × 4 = 8.
1 × 8 = 8.

Question 4.
61 _____
Answer:
61 = Prime number because 1 and itself.

Explanation:
Factors of 61:
1 × 61 = 61.

Question 5.
90 _____
Answer:
90 = composite number.

Explanation:
Factors of 90:
1 × 90 = 90.
2 × 45 = 90.
5 × 18 = 90.
6 × 15 = 90.
9 × 10 = 90.

Question 6.
79 _____
Answer:
79 = Prime number because 1 and itself.

Explanation:
Factors of 79:
1 × 79 = 79.

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

Explanation:
Factor pairs of 7:
1 × 7 = 7.

Question 8.
18 ____
Answer:
1 × 18 = 18.
2 × 9 = 18.
3 × 6 = 18.

Explanation:
Factor pairs of 18:
1 × 18 = 18.
2 × 9 = 18.
3 × 6 = 18.

Question 9.
63 _____
Answer:
1 × 63 = 63.
3 × 21 = 63.
7 × 9 = 63.

Explanation:
Factor pairs of 63:
1 × 63 = 63.
3 × 21 = 63.
7 × 9 = 63.

Write “yes” or “no” for each question.
Question 10.
Is 15 a multiple of 2? ____
Answer:
No, 15 is not a multiple of 2.

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

Question 11.
Is 75 a multiple of 5? ____
Answer:
Yes, 75 is a multiple of 5.

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

Question 12.
Is 72 a multiple of 9? ____
Answer:
Yes, 72 is a multiple of 9.

Explanation:
Multiples of 72:
1 × 72 = 72.
2 × 36 = 72.
3 × 24 = 72.
4 × 18 = 72.
6 × 12 = 72.
8 × 9 = 72.

Question 13.
Is 54 a multiple of 5? ____
Answer:
No, 54 is not multiple of 5.

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

Solve. Write the expressions you use and the answers.
Question 14.
Ms. Williams is making a large pot of chili for a party. The recipe calls for 5 times as many beans as peppers. If she uses 2 cups of peppers, how many cups of beans will she need?
Answer:
Number of cups of beans will she needs = 10.

Explanation:
The recipe calls for 5 times as many beans as peppers.
Number of cups of peppers she uses = 2.
Number of cups of beans will she needs = 5 times × Number of cups of peppers she uses
= 5 × 2
= 10.

Question 15.
Jada made a model of an alligator for a science report. The model was 3 feet long. The actual alligator is 4 times as long as the model. How long is the alligator?
Answer:
Number of feet the model = 3.
The actual alligator is 4 times as long as the model.
Number of feet of alligator =

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Lesson 1 Multiplying a Two-Digit Number to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 5 Lesson 1 Multiplying a Two-Digit Number

Multiply

Find each product using partial products.

Question 1.

Answer:
13 x 4 = 52
Explanation:
The product of 13 and 4 is 52
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 19 and 5 is 95
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 22 and 6 is 132
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 90 and 6 is 540
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.
The owner of a restaurant buys 26 tables. She wants to buy 5 chairs for each table. How many chairs should she buy in all?
Answer:
130 chairs
Explanation:
The product of 26 and 5 is 130
There are 26 tables
each table has 5 chairs
26 x 5 = 130 chairs

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Lesson 2 Multiplying a Three-Digit Number to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 5 Lesson 2 Multiplying a Three-Digit Number

Multiply

Find each product.

Question 1.

Answer:
142 x 5 = 710
Explanation:
The product of 142 and 5 is 710
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 271 and 3 is 813
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 309 and 8 is 2472
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 294 and 7 is 2058
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 516 and 4 is 2064
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  878 and 9 is 7902
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 7.
A giant panda weighs 236 pounds. An Arabian camel weighs 6 times as much as the panda. How much does the Arabian camel weigh?
Answer:

Explanation:
panda weighs 236 pounds.
camel weighs 6 times as much as the panda.
so, camel weigh 1,416 pounds.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Lesson 3 Multiplying a Four-Digit Number to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 5 Lesson 3 Multiplying a Four-Digit Number

Multiply

Find each product.

Question 1.

Answer:
1290 x 4 = 5160
Explanation:
4 × 0 = 0
4 × 9 = 36
Put the 6 in the appropriate column and carry the 3.
4 × 2 + 3(carried) = 11
Put the 1 in the appropriate column and carry the 1.
4 × 1 + 1(carried) = 5

Question 2.

Answer:

Explanation:
3 × 3 = 9
3 × 0 = 0
3 × 4 = 12
Put the 2 in the appropriate column and carry the 1.
3 × 3 + 1(carried) = 10
Put the 0 in the appropriate column and carry the 1.

Question 3.

Answer:

Explanation:
5 × 4 = 20
Put the 0 in the appropriate column and carry the 2.
5 × 7 + 2(carried) = 37
Put the 7 in the appropriate column and carry the 3.
5 × 8 + 3(carried) = 43
Put the 3 in the appropriate column and carry the 4.
5 × 2 + 4(carried) = 14
Put the 4 in the appropriate column and carry the 1.

Question 4.

Answer:

Explanation:
6 × 2 = 12
Put the 2 in the appropriate column and carry the 1.
6 × 4 + 1(carried) = 25
Put the 5 in the appropriate column and carry the 2.
6 × 7 + 2(carried) = 44
Put the 4 in the appropriate column and carry the 4.
6 × 5 + 4(carried) = 34
Put the 4 in the appropriate column and carry the 3.

Question 5.

Answer:

Explanation:
4 × 9 = 36
Put the 6 in the appropriate column and carry the 3.
4 × 6 + 3(carried) = 27
Put the 7 in the appropriate column and carry the 2.
4 × 4 + 2(carried) = 18
Put the 8 in the appropriate column and carry the 1.
4 × 7 + 1(carried) = 29
Put the 9 in the appropriate column and carry the 2.

Question 6.

Answer:

Explanation:
8 × 0 = 0
8 × 1 = 8
8 × 3 = 24
Put the 4 in the appropriate column and carry the 2.
8 × 6 + 2(carried) = 50
Put the 0 in the appropriate column and carry the 5.

Question 7.
2,367 people visit a museum in the first week it opens. The same number come the second week. During the third week, 1,983 people visit. Circle the expression that shows how to find the total number of people who visited the museum in the first three weeks.
(2 × 2367) + 1983 2 × (2367 + 1983)
(2 × 1983) + 2367 2 × (1983 + 2367)
Answer:
(2 × 2367) + 1983
2,367 is twice
and then 1983 also twice
so, the first expression shows the people visited the museum.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Lesson 4 Multiplying a Two-Digit Number by a Two-Digit Number to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 5 Lesson 4 Multiplying a Two-Digit Number by a Two-Digit Number

Multiply

Find each product. On a separate sheet of paper, draw arrays to show partial products.

Question 1.
15 × 19 = 285
Explanation:

Question 2.
22 × 17 = ____
Answer:

Explanation:
The product of 22 and 17 is 374
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.
53 × 26 = ____
Answer:

Explanation:
The product of  53 and 26 is 1378
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.
11 × 14 = ___
Answer:

Explanation:
The product of 11 and 14 is 154
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.
25 × 12 = ___
Answer:

Explanation:
The product of 25 and 12 is 300
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.
8 × 18 = ___
Answer:

Explanation:
The product of 8 and 18 is 144
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.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 5 Lesson 6 Estimating Products to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 5 Lesson 6 Estimating Products

Multiply

Use rounding or compatible numbers to estimate each product.

Question 1.
41 × 63 = 2,400
Explanation:
40 x 60 that is 4 x 6 = 24
then zeros are added

Question 2.
53 × 51 = ___
Answer:
53 × 51 = 2703
Explanation:
both the numbers are rounded to 50
5 x 5 = 25
50 x 50 = 2500

Question 3.
19 × 84 = ____
Answer:
19 × 84 = 1596
Explanation:
both the numbers are rounded to 20 and 80
2 x 8 = 16
20 x 80 = 1600

Question 4.
81 × 33 = ___
Answer:
81 × 33 = 2673
Explanation:
both the numbers are rounded to 80 and 30
8 x 3 = 24
80 x 30 = 2400

Question 5.
36 × 22 = ___
Answer:
36 × 22 = 792
Explanation:
both the numbers are rounded to 40 and 20
4 x 2 = 8
40 x 20 = 800

Question 6.
32 × 37 = ___
Answer:
32 × 37 =1184
Explanation:
both the numbers are rounded to 30 and 40
3 x 4 = 12
30 x 40 = 1200

Question 7.
An adult giraffe at the zoo eats 517 pounds of leaves in a week. Write the expression that shows the best way to estimate how many pounds of leaves the giraffe will eat in 5 weeks.
Answer:
517 x 5
Explanation:
adult giraffe eats 517 pounds
517 x 5 = 2585 leaves.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 2 Equivalent Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 7 Lesson 2 Equivalent Fractions

Identify

Use the fraction strips to identify equivalent fractions.

Question 1.
What fraction is equivalent to \(\frac{1}{3}\)?
\(\frac{2}{6}\)

Answer:
\(\frac{2}{6}\)
Explanation:
with the help of fraction strip we can say that
\(\frac{2}{6}\) is equivalent to \(\frac{1}{3}\)

Question 2.
What fraction is equivalent to \(\frac{2}{8}\) ?
Answer:
\(\frac{1}{4}\)
Explanation:
with the help of fraction strip we can say that
\(\frac{1}{4}\) is equivalent to \(\frac{2}{8}\)

Question 3.
What fraction is equivalent to \(\frac{4}{6}\) ?
Answer:
\(\frac{2}{3}\)
Explanation:
with the help of fraction strip we can say that
\(\frac{2}{3}\) is equivalent to \(\frac{4}{6}\)

Question 4.
What fraction is equivalent to \(\frac{4}{5}\) ?
Answer:
\(\frac{8}{10}\)
Explanation:
with the help of fraction strip we can say that
\(\frac{4}{5}\) is equivalent to \(\frac{8}{10}\)

Question 5.
Write two equivalent fractions for the area that is red.

Answer:
\(\frac{5}{10}\) and \(\frac{1}{2}\)
Explanation:
with the help of fraction strip we can say that
\(\frac{5}{10}\) and \(\frac{1}{2}\)
are equivalent fractions