McGraw Hill Math

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

Fill in each blank. Use the best term from the word bank. You may not use every term.

Word Bank

• add
• array
• circle
• denominator
• difference
• divide
• divisor
• equal groups
• equation
• even
• expression
• factors
• fraction
• mental math
• multiples
• multiply
• number line
• numerator
• odd
• product
• quotient
• round
• skip count
• square
• subtract
• sum
• triangle

Question 1.
A(n) ____ is a line that shows numbers in order.
Answer:
number line
Explanation:
representation of numbers such as fractions, integers and whole numbers
laid out evenly on a straight horizontal line.

Question 2.
The number 13 is a(n) ________________ number.
Answer:
odd
Explanation:
The number which is not divided by 2 is an odd number
the remainder will be one.

Question 3.
In the number sentence 4 × 15 = 60, 60 is the ______________
Answer:
product
Explanation:
The product of 4 and 15 is 60
multiplication is represented as product

Question 4.
You can ________________ a number to estimate to the nearest 10 or 100.
Answer:
Round
Explanation:
Rounding a number to the nearest hundred means
to write down the multiple of 100 that is nearest to the number.

Question 5.
When you count 5 – 10 – 15 – 20, you ____.
Answer:
Skip count
Explanation:
5 , 10 , 15 , 20 , 25
is a pattern that is skipping the count by 5

Question 6.
_________________ are multiplied to find a product.
Answer:
Factors
Explanation:
a product that we get when one number is multiplied by another number.

Question 7.
To find _________________ of 5, you multiply numbers by 5.
Answer:
Multiples
Explanation:
Multiplying by fives is the same as counting by fives.

Question 8.
The number 4 is a(n) _________________ number.
Answer:
even number
Explanation:
a whole number that is able to be divided by two into two equal whole numbers
The numbers 0, 2, 4, 6, and 8 are even numbers.

Question 9.
An arrangement of objects into columns and rows is a(n) ______________
Answer:
Array
Explanation:
An array is an arrangement of a set of objects, pictures,
or numbers usually arranged in rows and columns.

Question 10.
When you divide, the answer is called the ____.
Answer:
Quotient
Explanation:
the number resulting from the division of one number by another is the quotient

Question 11.
The answer to a subtraction problem is called the ____
Answer:
Difference
Explanation:
the bigger number is called minuend and the number subtracted from it is called subtrahend.
The answer in subtraction is called difference.

Question 12.
A(n) _________________ is a polygon with three sides.
Answer:
Triangle
Explanation:
Triangle has 3 sides and 3 vertices
It has flat surfaces.

Question 13.
A number sentence that shows two equal expressions and an equal sign is called a(n) ____.
Answer:
Equation
Explanation:
the process of equating one thing with another

Question 14.
The _________________ is the number above the fraction bar in a fraction.
Answer:
the numerator
Explanation:
the part of a fraction that is above the line is numerator and
signifies the number to be divided by the denominator

Write each number in standard form.

Question 15.
2 tens 8 ones
Answer:
28
Explanation:
20 + 8 = 28
Standard form is a way of writing down very large
or very small numbers easily.

Question 16.
thirty-two
Answer:
32
Explanation:
3 x 10 = 30
30 + 2 = 32
Standard form is a way of writing down very large
or very small numbers easily.

Question 17.
400 + 10 + 6
Answer:
416
Explanation:
400 + 10 = 410
410 + 6 = 416
Standard form is a way of writing down very large
or very small numbers easily.

Question 18.
fourteen
Answer:
14
Explanation:
10 + 4 = 14
Standard form is a way of writing down very large
or very small numbers easily.

Question 19.
3 hundreds 5 tens
Answer:
350
Explanation:
3 x 100 = 300
5 x 10 = 50
300 + 50 = 350
Standard form is a way of writing down very large
or very small numbers easily.

Question 20.
fifty-seven
Answer:
57
Explanation:
5 x 10 = 50
50 + 7 = 57
Standard form is a way of writing down very large
or very small numbers easily.

Question 21.

Answer:
17
Explanation:
10 + 7 = 17
a row of blocks represents as 10
and a single block as 1
Standard form is a way of writing down very large
or very small numbers easily.

Question 22.

Answer:
30
Explanation:
3 x 10 = 30
a row of blocks represents as 10
and a single block as 1
Standard form is a way of writing down very large
or very small numbers easily.

Question 23.

Answer:
24
Explanation:
2 x 10 = 20
20 + 4 = 24
a row of blocks represents as 10
and a single block as 1
Standard form is a way of writing down very large
or very small numbers easily.

Skip count. Write the missing numbers.

Question 24.
2, 4, 6, ___, ___, _____,14
Answer:
2, 4, 6, 8 , 10, 12 ,14
Explanation:
The given pattern is skip by 2
6 + 2 = 8
8 + 2 = 10
10 + 2 = 12 are the missing numbers.

Question 25.
10, 20, 30, ___, ___, ___, 70
Answer:
10, 20, 30, 40, 50, 60, 70
Explanation:
The given patter is skip by tens
30 + 10 = 40
40 + 10 = 50
50 + 10 = 60 are the missing numbers

Question 26.
25, 30, 35, ___, ____, _____, 55
Answer:
25, 30, 35, 40, 45, 50, 55
Explanation:
The given pattern is skip by five
35 + 5 = 40
40 + 5 = 45
45 + 5 = 50 are the missing numbers.

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

Question 27.
125 187
Answer:
125 187
Explanation:
187 is greater than 125
for greater number the mouth will be open.

Question 28.
423,646 423,664
Answer:
423,646  423,664
Explanation:
423,664 is greater than 423,646
for greater number the mouth will be open.

Question 29.
\(\frac{6}{7}\) \(\frac{12}{14}\)
Answer:
\(\frac{6}{7}\) \(\frac{12}{14}\)
Explanation:
The quotient of both the fractions are equal.
so, represented with equal symbol

Question 30.
52 25
Answer:
52 25
Explanation:
52 is greater than 25
so, represented with greater symbol

Question 31.
165 16.5
Answer:
165 16.5
Explanation:
165 is greater than 16.5
so, represented with greater symbol

Question 32.
543 760
Answer:
543 760
Explanation:
543 is lesser than 760
so, represented with lesser symbol

Add. write the sum

Question 33.

Answer:

Explanation:
Ones Place Value
5 + 5 = 10
Put the 0 in Ones place
Carry the 1 to Tens place
Tens Place Value
1 + 4 + 2 = 7
Put the 7 in Tens place
Hundreds Place Value
7 + 9 = 16
Put the 6 in Hundreds place
Carry the 1 to Thousands place
Thousands Place Value
1 = 1
Put the 1 in Thousands place

Question 34.

Answer:

Explanation:
Ones Place Value
9 + 8 = 17
Put the 7 in Ones place
Carry the 1 to Tens place
Tens Place Value
1 + 8 + 4 = 13
Put the 3 in Tens place
Carry the 1 to Hundreds place
Hundreds Place Value
1 + 2 + 6 = 9
Put the 9 in Hundreds place
Thousands Place Value
0 + 3 = 3
Put the 3 in Thousands place
Ten Thousands Place Value
9 + 5 = 14
Put the 4 in Ten Thousands place
Carry the 1 to Hundred Thousands place
Hundred Thousands Place Value
1 = 1
Put the 1 in Hundred Thousands place

Question 35.

Answer:

Explanation:
Ones Place Value
3 + 9 = 12
Put the 2 in Ones place
Carry the 1 to Tens place
Tens Place Value
1 + 6 + 0 = 7
Put the 7 in Tens place
Hundreds Place Value
4 + 1 = 5
Put the 5 in Hundreds place
Thousands Place Value
5 + 8 = 13
Put the 3 in Thousands place
Carry the 1 to Ten Thousands place
Ten Thousands Place Value
1 + 1 = 2
Put the 2 in Ten Thousands place

Question 36.

Answer:

Explanation:
Ones Place Value
1 + 1 = 2
Put the 2 in Ones place
Tens Place Value
0 + 2 = 2
Put the 2 in Tens place
Hundreds Place Value
9 + 5 = 14
Put the 4 in Hundreds place
Carry the 1 to Thousands place
Thousands Place Value
1 + 0 + 8 = 9
Put the 9 in Thousands place
Ten Thousands Place Value
5 + 8 = 13
Put the 3 in Ten Thousands place
Carry the 1 to Hundred Thousands place
Hundred Thousands Place Value
1 = 1
Put the 1 in Hundred Thousands place

Question 37.

Answer:

Explanation:
The sum of 913 + 745 + 823 = 2481

Question 38.

Answer:

Explanation:
The sum of 66743 + 78934 + 60293 = 205970

Question 39.

Answer:

Explanation:
The sum of 7769 + 9091 + 7362 = 24222

Question 40.

Answer:

Explanation:
The sum of 534 + 901 + 441 = 1876

Subtract. write the difference.

Question 41.

Answer:
932456 – 738575 = 193,881
Explanation:

Question 42.

Answer:
332103 – 98943 = 233160
Explanation:

Question 43.

Answer:
934251 – 83746 = 850505
Explanation:

Question 44.

Answer:
86754 – 86539 = 215
Explanation:

Round to the nearest thousand to estimate the sum or difference.

Question 45.
45,567 — 31,339 = _______________
Answer:
45,567 — 31,339 = 14228
Explanation:

Nearest hundred is 14300

Question 46.
93,854 + 59,201 = _____________
Answer:
93,854 + 59,201 = 153055
nearest hundred is 153100
Explanation:

Round to the nearest hundred to estimate the sum or difference.

Question 47.
56,710+ 732,820 = _____________
Answer:

Explanation:
56,710+ 732,820 = 789500
is the nearest hundred.

Question 48.
89,560 — 7,431 = ______________
Answer:
89,560 — 7,431 = 82129
Explanation:

Nearest  hundred is 82100

Solve.

Question 49.
A rectangular yard is 17 meters long and 9 meters wide. What is the perimeter of the yard?
Answer:
52 meter
Explanation:
perimeter of a rectangle p = l x b
p = 17 x 9
p = 52

Question 50.
A pool measures 11 feet long and 9 feet wide. What is the area of the pool?
Answer:
99 feet
Explanation:
Area = l x b
area = 99sq feet

Find the product.

Question 51.
12 × 0 = ___
Answer:
0
Explanation:
when a number is multiplied by zero
the product remains as zero
12  x 0 = 0

Question 52.
4 × 12 = ___
Answer:
48
Explanation:
The product of 4 and 12 is 48.
4 x 12 = 48

Question 53.
7 × 9 = ___
Answer:
63
Explanation:
The product of 7 and 9 is 63
7 x 9 = 63

Question 54.
13 3 = ___
Answer:
39
Explanation:
The product of 13 and 3 is 39
13 x 3 = 39

Question 55.
10 × 7 = ___
Answer:
70
Explanation:
The product of 10 and 7 is 70
10 x 7 = 70

Question 56.
23 × 1 = ____
Answer:
23
Explanation:
The product of 23 and 1 is 23
23 x 1 = 23

Find the quotient.

Question 57.
124 ÷ 3 = ____
Answer:
quotient = 41
remainder = 1
Explanation:

Question 58.
45 ÷ 9 = ___
Answer:
45 ÷ 9 = 5
Explanation:
9 x 5 = 45

Question 59.
49 ÷ 7 = ___
Answer:
49 ÷ 7 = 7
Explanation:
7 x 7 = 49

Question 60.
144 ÷ 12 = ________
Answer:
quotient = 12
12 x 12 = 144
Explanation:

Question 61.
77 ÷ 7 = _________
Answer:
77 ÷ 7 = 11
Explanation:
7 x 11 = 77

Question 62.
110 ÷ 10 = ______
Answer:
110 ÷ 10 = 11
Explanation:

Question 63.
Which multiplication property is shown in this sentence?
17 × (2 + 4) = (17 × 2) + (17 × 4)
Answer:
Distributive property of multiplication.
Explanation:
17 x 6 = 102
17 x 2 = 34
17 x 4 = 68
34 + 68 = 102
102 = 102

Identify each number as prime or composite.

Question 64.
37 _____
Answer:
Prime
Explanation:
a number that is divisible only by itself is a prime
and a number which has more than two factors.

Question 65.
51 ____
Answer:
Composite
Explanation:
a number that is divisible only by itself is a prime
and a number which has more than two factors.

Question 66.
35 ____
Answer:
Composite
Explanation:
a number that is divisible only by itself is a prime
and a number which has more than two factors.

Question 67.
22 ______
Answer:
Composite
Explanation:
a number that is divisible only by itself is a prime
and a number which has more than two factors.

Find all the factor pairs of each number.

Question 68.
18 _____
Answer:
1 x 18 = 18
2 x 9 = 18
3 x 6 = 18
Explanation:
1 and 18
2 and 9
3 and 6

Question 69.
23 ___
Answer:
1 x 23 = 23
Explanation:
1 and 23 are the factors

Solve. Write the expression you used to find the answer.

Question 70.
Ms. Williams fills a small fishbowl with 6 cups of water. She has a larger aquarium that holds 7 times as much water. How many cups of water will it take to fill the aquarium?
Answer:
7 x 6 = 42 cups of water
Explanation:
Ms. Williams fills a small fishbowl with 6 cups of water.
She has a larger aquarium that holds 7 times as much water.
7 x 6 = 42
it can hold 42 cups of water.

Question 71.
Martha has 12 times as many blue marbles as red marbles. If she has 96 blue marbles, how many red marbles does she have? Use the variable y for the number of red marbles.
Answer:
18 red marbles
Explanation:
let y be the number of red marbles
12 x y = 96
96 ÷  12 = 18
there are 18 red marbles.

Write an equivalent fraction for each.

Question 72.
\(\frac{3}{5}\) _____
Answer:
\(\frac{6}{10}\)
Explanation:
2 x 3 = 6
2 x 5 = 10

Question 73.
\(\frac{40}{88}\) _____
Answer:
\(\frac{5}{11}\)
Explanation:
8 x 5 = 40
8 x 11 = 88

Question 74.
\(\frac{3}{51}\) _____
Answer:
\(\frac{1}{17}\)
Explanation:
3 x 1 = 3
17 x 3 = 51

Add or subtract. Write your answers in simplest form.

Question 75.
\(\frac{1}{7}\) + \(\frac{6}{7}\) = ____
Answer:
1
Explanation:
\(\frac{1}{7}\) + \(\frac{6}{7}\) = 1

Question 76.
\(\frac{3}{12}\) + \(\frac{6}{12}\) = ____
Answer:
\(\frac{3}{12}\) + \(\frac{6}{12}\) = \(\frac{3}{4}\)
Explanation:
\(\frac{3}{12}\) + \(\frac{6}{12}\) = \(\frac{9}{12}\)
= \(\frac{3}{4}\)

Question 77.
817\(\frac{11}{13}\) – 353\(\frac{4}{13}\) = ____
Answer:
= 817\(\frac{11}{13}\) – 353\(\frac{4}{13}\)
= \(\frac{10632}{13}\) – 353\(\frac{4}{13}\)
= \(\frac{10632}{13}\) – \(\frac{4593}{13}\)
= \(\frac{6039}{13}\)
= 464\(\frac{7}{13}\)
Explanation:
817\(\frac{11}{13}\) – 353\(\frac{4}{13}\) = 464\(\frac{7}{13}\)

Look at each pattern. Draw the missing shape.

Question 78.

Answer:

Explanation:
one dot a circles and a square is in the pattern
after a dot circle is in the pattern

Question 79.

Answer:

Explanation:
In the given patter
a square followed by 2 rectangles is the pattern
so, a square is missing

Question 80.

Answer:

Explanation:
In the given pattern 2 triangles then a orange square and
a blue square is in the pattern
after blue square orange square is missing

write the name of each figure.

Question 81.

______
Answer:
square
Explanation:
A square is a 2d figure it has 4 sides and 4 vertices
all the sides are equal

Question 82.

________
Answer:
Triangle
Explanation:
A triangle has 3 sides and 3 vertices

Question 83.

________
Answer:
Circle
Explanation:
Circle has a curved surface

Question 84.

Answer:
Rectangle
Explanation:
Rectangle has 4 sides and 4 vertices
opposite sides are equal.

Read each pair of amounts. Place a check mark beside the greater amount.

Question 85.
___ 55inches ___ 4feet
Answer:
55 inches
Explanation:
55 inches is greater than 4 feet
1 feet = 12 inches
4 x 12 = 48 inches

Question 86.
___ 500ounces ___ 300pounds
Answer:
300 pounds
Explanation:
1 pound = 16 ounces
pounds are greater than ounces.

Solve and explain.

Question 87.
Is the sum of 67+ 29 equal to the sum of 29 + 67? Explain how you know.
Answer:
Yes
Explanation:
67 + 29 = 96
29 + 67 = 96
Commutative property says that the sum remains sum
if we change the order of the numbers.

Question 88.
Franz says that 4 × 5 = 20, so 4 × 500 = 200.
Is Franz correct? ______________________
Why or why not? _______________________
Answer:
No.
Explanation:
4 x 5 = 20
then 4 x 500 = 2000
he missed a zero while multiplying

The graph shows the number of students practicing the guitar, the drums, the piano, and the trumpet at a small music school.

Question 89.
Which instrument is practiced by the greatest number of students?
Answer:
Drums
Explanation:
Drums is practiced by the greatest number of students

Question 90.
Which instrument is practiced by the least number of students?
Answer:
Piano
Explanation:
Piano is practiced by the least number of students

Question 91.
How many students practice the trumpet?
Answer:
9
Explanation:
9 students practice the trumpet

Question 92.
How many more students practice the drums than the trumpet?
Answer:
6 more students
Explanation:
Students practiced the drum = 15
Students practiced the Trumpet = 9
15 – 9 = 6

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Test to secure good marks &amp; knowledge in the exams.

McGraw-Hill Math Grade 4 Chapter 8 Test Answer Key

Add or subtract. Write your answers in simplest form.

Question 1.

Answer:
The Denominators of the given fractions are same so add the numerators.
3/5 + 1/5
= 3 + 1/5
= 4/5.

Question 2.

Answer:
The Denominators of the given fractions are same so add the numerators.
1/8 + 5/8
= 6/8
= 3/4.

Question 3.

Answer:
3 x (3/4) = 15/4
5 x (2/4) = 22/4 = 11/2
Here the denominators are not equal. so, 15/4 + 11/2
= (15 x 2) + (11 x 4) ÷ 4 x 2
= 30+44/8
= 74/8
The 74/8 can be written has 9 x 1/4

Question 4.

Answer:
47 x (3/13) = 614/13
24 x (10/13) = 322/13
The Denominators of the given fractions are same so add the numerators.
614/13 + 322/13 = 72

Question 5.

Answer:
The Denominators of the given fractions are same so subtract the numerators.
8/9 – 5/9
= 8-5/9
= 3/9
= 1/3

Question 6.

Answer:
The Denominators of the given fractions are same so subtract the numerators.
9/10 – 4/10
= 9-4/10
= 5/10
= 1/2

Question 7.

Answer:
9 x (5/6) = 59/6
7 x (3/6) = 45/6
The Denominators of the given fractions are same so subtract the numerators.
59/6 – 45/6
= 59-45/6
= 14/6
= 7/3
7/3 can be written as 2 x 1/3.

Question 8.

Answer:
5 x (3/5) = 54/5
16 x (4/5) =28/5
The Denominators of the given fractions are same so subtract the numerators.
54/5 – 28/5
= 54-28/5
= 26/5
26/5 can be written has 5 x 1/5

Question 9.

Answer:
The Denominators of the given fractions are same so add the numerators.
8/16 + 5/16
= 8+5/16
= 13/16

Question 10.

Answer:
The Denominators of the given fractions are same so subtract the numerators.
12/14 – 8/14
= 12-8/14
= 4/14
= 2/7

Question 11.

Answer:
38 x (4/8) = 308/8
43 x (3/8) = 347/8
The Denominators of the given fractions are same so add the numerators.
308/8 + 347/8
= 308+347/8
= 655/8
= 81 x 7/8

Question 12.

Answer:
69 x (3/3) = 210/3
24 x (1/3) = 73/3
The Denominators of the given fractions are same so subtract the numerators.
210/3 – 73/3
= 210-73/3
= 137/3
= 45 x 2/3

Solve. Write your answers in simplest form.

Question 13.
A family bought apples at a farmer’s market. They bought a bag of red apples that weighed 7\(\frac{4}{8}\) pounds and a bag of green apples that weighed 3\(\frac{3}{8}\) pounds on Saturday. How many pounds of apples did they buy?
Answer:
The family bought a bag of red apples = 7 x (4/8) pounds = 60/8
The family bought a bag of green apples = 3 x (3/8) pounds = 27/8
The Denominators of the given fractions are same so add the numerators.
60/8 + 27/8 = 60-27/8
= 87/8
= 10 x 7/8
Hence, the total number of apples that the family bought is 2 x (7/8) pounds.

Question 14.
Alex makes a salad for the family. He uses 4\(\frac{2}{9}\) cups of lettuce, 1\(\frac{1}{9}\) cups of tomatoes, and 2\(\frac{4}{9}\) cups of cucumbers. How many more cups of lettuce does he use than cucumbers?
Answer:
Given that,
The total number of lettuce cups = 4 x (2/9) cups = 38/9.
The total number of tomato cups = 1 x (1/9) cups = 10/9.
The total number of cucumber cups = 2 x (4/9) cups = 22/9.
Therefore the lettuce cups more than cucumber cups is 38/9 – 22/9
The Denominators of the given fractions are same so subtract the numerators.
= 38-22/9
= 16/9
= 1 x 7/9 cups.
Hence, the number of lettuce cups more than the cucumber cups is 1 x 7/9 cups.

Solve. Write your answers in simplest form.

Question 15.
Write \(\frac{4}{9}\) as a sum of fractions.
Answer:
Given that the fraction is 4/9.
The sum of the fraction of 4/9 is 1/9 + 1/9 + 1/9 + 1/9.

Question 16.
Write 1\(\frac{3}{5}\) as a sum of fractions.
Answer:
Given that the mixed fraction is 1 x (3/5)
1 x (3/5) = 8/5
The sum of the fractions of 8/5 is 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 +1/5.

Multiply. Write your answers in simplest form. Draw pictures if you need help.

Question 17.
4 × \(\frac{1}{3}\) = ______________
Answer:
Multiply 4 x 1/3 then you get 4/3

Question 18.
5 × \(\frac{3}{4}\) = ______________
Answer:
Multiply 5 x 3/4 then you get 23/4

Question 19.
3 × \(\frac{3}{5}\) = ______________
Answer:
Multiply 3 x 3/5 then you get 18/5

Question 20.
7 × \(\frac{4}{8}\) = ______________
Answer:
Multiply 7 x 4/8 then you get 60/8.

Solve. Write your answers in simplest form.

Question 21.
Jason is practicing for a footrace. He runs 7\(\frac{3}{8}\) miles the first week and 9\(\frac{6}{8}\) miles the second week. How many miles does Jason run in all?
Answer:
Given that,
Jason runs in the first week = 7 x (3/8) = 59/8
Jason runs in the second week = 9 x (6/8) = 78/8
The Denominators of the given fractions are same so add the numerators.
59/8 + 78/8
= 59+78/8
= 137/8
= 17 x 1/8
Hence, Jason run in all is 17 x 1/8 miles.

Question 22.
76 vehicles are in a parking lot. \(\frac{1}{4}\) of them are trucks. How many trucks are in the parking lot?
Answer:
Given that,
The total number of vehicles in the parking is 76.
The number of trucks in the parking lot is \(\frac{1}{4}\) = 1/4
Therefore 76 x 1/4 = 19.
The total number of trucks in the parking lot is 19.

Question 23.
A hardware store sold 7\(\frac{8}{10}\) feet of chain in one week. The store sold 4\(\frac{3}{10}\) feet of chain the next week. How many more feet of chain did the store sell in the first week?
Answer:
Given that,
The hardware store sold a chain in one week = 7 x (8/10) = 78/10.
The hardware store sold a chain in next week = 4 x (3/10) = 43/10.
The Denominators of the given fractions are same so subtract the numerators.
78/10 – 43/10
= 78-43/10
= 35/10
= 7/2
= 3 x 1/2
Hence, the chain sold in one week is 2 x (1/2) feet’s longer then chain sold in next week.

Question 24.
Linda travels to visit friends. She drives for a total of 23 miles. Damon also visits friends, but his trip is \(\frac{2}{3}\) as long as Linda’s. How many miles does Damon drive?
Answer:
Given that,
Linda travels to visit friends and she drives for a total of 23 miles.
Damon also visits friends, but his trip is \(\frac{2}{3}\) as long as Linda’s.
\(\frac{2}{3}\) = 2/3
Therefore Lind’s drive = 23 + 2/3 = 23 x 2/3.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 7 Adding and Subtracting Mixed Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 7 Adding and Subtracting Mixed Numbers

Add or Subtract

Add or subtract. Write your answers in simplest form.

Question 1.

Answer:
The Denominators of the given fractions are same so add the numerators.
\(\frac{3}{8}\) + \(\frac{2}{8}\) = \(\frac{5}{8}\)
1 + 2 + \(\frac{5}{8}\)  = 3\(\frac{5}{8}\)

Question 2.

Answer:
The Denominators of the given fractions are same so subtract the numerators.
\(\frac{4}{5}\) – \(\frac{3}{5}\) = \(\frac{1}{5}\)
17 – 9 = 8
8 + \(\frac{1}{5}\) = 8\(\frac{1}{5}\)

Question 3.

Answer:
The Denominators of the given fractions are same so add the numerators.
\(\frac{4}{7}\) + \(\frac{2}{7}\) = \(\frac{6}{7}\)
27 + 32 = 59
59 + \(\frac{6}{7}\) = 59\(\frac{6}{7}\)

Question 4.

Answer:
The Denominators of the given fractions are same so subtract the numerators.
\(\frac{2}{2}\) – \(\frac{1}{2}\) = \(\frac{1}{2}\)
80 – 35 = 45
45 + \(\frac{1}{2}\) = 45\(\frac{1}{2}\)

Question 5.
The length of a baby Gila monster is 5\(\frac{7}{8}\) inches. The length of an adult is 21\(\frac{1}{8}\) inches. How much longer is the adult than the baby?
Answer:
The length of a baby Gila monster is 5\(\frac{7}{8}\) inches.
The length of an adult is 21\(\frac{1}{8}\) inches
21\(\frac{1}{8}\) – 5\(\frac{7}{8}\)
21 – 5 = 16
15\(\frac{9}{8}\) – \(\frac{7}{8}\)
15\(\frac{2}{8}\) or 15\(\frac{1}{4}\) inches

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 5 Adding Mixed Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 5 Adding Mixed Numbers

Add

Write your answers in simplest form.

Question 1.

Answer:
The Denominators of the given fractions are the same so add the numerators.
\(\frac{1}{2}\) + \(\frac{1}{2}\) = 1
1 + 4 + 1 = 6

Question 2.

Answer:
The Denominators of the given fractions are the same so add the numerators.
\(\frac{1}{3}\) + \(\frac{1}{3}\) = \(\frac{2}{3}\)
4 + 3 + \(\frac{2}{3}\) = 7\(\frac{2}{3}\)

Question 3.

Answer:
The Denominators of the given fractions are the same so add the numerators.
\(\frac{2}{7}\) + \(\frac{4}{7}\) = \(\frac{6}{7}\)
16 + 9 + \(\frac{6}{7}\) = 25\(\frac{6}{7}\)

Question 4.

Answer:
The Denominators of the given fractions are the same so add the numerators.
\(\frac{3}{5}\) + \(\frac{1}{5}\) = \(\frac{4}{5}\)
24 + 7 + \(\frac{4}{5}\) = 31\(\frac{4}{5}\)

Question 5.
Last month Mr. Garrett flew three times. The first flight lasted 4\(\frac{4}{5}\) hours and the second flight lasted 8\(\frac{1}{5}\) hours. The third flight lasted 6\(\frac{3}{5}\) hours. For how many hours did Mr. Garrett travel?
Answer:
Given,
Last month Mr. Garrett flew three times.
The first flight lasted 4\(\frac{4}{5}\) hours and the second flight lasted 8\(\frac{1}{5}\) hours.
The third flight lasted 6\(\frac{3}{5}\) hours.
4\(\frac{4}{5}\) + 8\(\frac{1}{5}\) + 6\(\frac{3}{5}\)
The Denominators of the given fractions are the same so add the numerators.
\(\frac{4}{5}\) + \(\frac{1}{5}\) + \(\frac{3}{5}\) = \(\frac{8}{5}\) = 1\(\frac{3}{5}\)
4 + 8 + 6 + 1\(\frac{3}{5}\) = 19\(\frac{3}{5}\) hours

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 6 Subtracting Mixed Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 6 Subtracting Mixed Numbers

Subtract

Write your answers in simplest form.

Question 1.

Answer:
The Denominators of the given fractions are the same so subtract the numerators.
\(\frac{6}{8}\) – \(\frac{1}{8}\) = \(\frac{5}{8}\)
5 – 2 = 3
3\(\frac{5}{8}\)

Question 2.

Answer:
The Denominators of the given fractions are the same so subtract the numerators.
\(\frac{5}{6}\) – \(\frac{2}{6}\) = \(\frac{3}{6}\) = \(\frac{1}{2}\)
7 – 3 = 4
4\(\frac{1}{2}\)

Question 3.

Answer:
The Denominators of the given fractions are the same so subtract the numerators.
\(\frac{2}{5}\) – \(\frac{1}{5}\) = \(\frac{1}{5}\)
8 – 2 = 6
= 6\(\frac{1}{5}\)
8\(\frac{2}{5}\) – 2\(\frac{1}{5}\) = 6\(\frac{1}{5}\)

Question 4.

Answer:
The Denominators of the given fractions are the same so subtract the numerators.
\(\frac{3}{4}\) – \(\frac{3}{4}\) = 0
75 – 26 = 49
75\(\frac{3}{4}\) – 26\(\frac{3}{4}\) = 49

Question 5.
Olivia has 7 cups of water in a pitcher. She pours 2\(\frac{7}{8}\) cups of water into a glass. How can she use subtraction to find how much water is left in the pitcher?
Answer:
Given,
Olivia has 7 cups of water in a pitcher. She pours 2\(\frac{7}{8}\) cups of water into a glass.
7 – 2\(\frac{7}{8}\)
7 – 2 = 5
5 – \(\frac{7}{8}\)
4 \(\frac{8}{8}\) – \(\frac{7}{8}\) = 4\(\frac{1}{8}\)

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 8 Problem Solving: Draw a Picture and Write an Equation to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 8 Problem Solving: Draw a Picture and Write an Equation

Solve

Question 1.
Ms. Robinson and her son hiked three trails with the following lengths: 5\(\frac{2}{9}\) mile; 1\(\frac{1}{9}\) mile; and 1\(\frac{4}{9}\) mile. How far did they walk in all?
Answer:
7\(\frac{7}{9}\) miles

Explanation:
5\(\frac{2}{9}\) mile; 1\(\frac{1}{9}\) mile; and 1\(\frac{4}{9}\) mile.
The Denominators of the given fractions are same so add the numerators.
5\(\frac{2}{9}\) + 1\(\frac{1}{9}\) + 1\(\frac{4}{9}\)
\(\frac{2}{9}\) + \(\frac{1}{9}\) + \(\frac{4}{9}\) = \(\frac{7}{9}\)
5 + 1 + 1 + \(\frac{7}{9}\) = 7\(\frac{7}{9}\) miles

Question 2.
Ms. Tanaka is making a fruit salad for a party. She uses 6\(\frac{6}{8}\) cups of grapes, 3\(\frac{1}{8}\) cups of melon cubes, and 4\(\frac{4}{8}\) cups of orange slices. How many more cups of grapes does she use than orange slices?
Answer:
Given,
Ms. Tanaka is making a fruit salad for a party. She uses 6\(\frac{6}{8}\) cups of grapes, 3\(\frac{1}{8}\) cups of melon cubes, and 4\(\frac{4}{8}\) cups of orange slices.
6\(\frac{6}{8}\) – 4\(\frac{4}{8}\)
\(\frac{6}{8}\) – \(\frac{4}{8}\) = \(\frac{2}{8}\) = \(\frac{1}{4}\)
6 – 4 = 2
2 + \(\frac{1}{4}\) = 2\(\frac{1}{4}\)
Thus she use 2\(\frac{1}{4}\) cups of grapes than orange slices

Question 3.
A fabric store sold 8\(\frac{5}{9}\) yards of black felt and 4\(\frac{4}{9}\) yards of red felt on Tuesday. How many more yards of black felt than red felt were sold?
Answer:
Given,
A fabric store sold 8\(\frac{5}{9}\) yards of black felt and 4\(\frac{4}{9}\) yards of red felt on Tuesday.
8\(\frac{5}{9}\) – 4\(\frac{4}{9}\)
\(\frac{5}{9}\) – \(\frac{4}{9}\) = \(\frac{1}{9}\)
8 – 4 = 4
= 4\(\frac{1}{9}\) yards
Thus black felt sold 4\(\frac{1}{9}\) yards than red felt.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 9 Fractions, Repeated Addition, and Multiplication to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 9 Fractions, Repeated Addition, and Multiplication

Interpret

Write an equation to show each fraction as a multiple.

Question 1.
\(\frac{3}{4}\) = _____________
Answer:
3 × \(\frac{1}{4}\) = \(\frac{3}{4}\)

Question 2.
\(\frac{4}{5}\) = ___________
Answer:
4 × \(\frac{1}{5}\) = \(\frac{4}{5}\)

Question 3.
\(\frac{3}{6}\) = _____________
Answer:
3 × \(\frac{1}{6}\) = \(\frac{3}{6}\)

Question 4.
\(\frac{2}{2}\) = _____________
Answer:
2 × \(\frac{1}{2}\) = \(\frac{2}{2}\) = 1

Question 5.
\(\frac{5}{8}\) = _____________
Answer:
5 × \(\frac{1}{8}\) = \(\frac{5}{8}\)

Question 6.
\(\frac{4}{7}\) = ______________
Answer:
4 × \(\frac{1}{7}\) = \(\frac{4}{7}\)

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 1 Identity and Commutative Properties of Multiplication are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 3 Lesson 1 Identity and Commutative Properties of Multiplication

Solve

Question 1.
Morgan draws two sketches to help solve a multiplication problem. What multiplication problem do the sketches represent?

______________________
Which multiplication property do the sketches represent?
______________________
Answer:
Commutative property.

Explanation:
The sketches represent the commutative property which means the answer will remain the same when multiplying numbers even if the order of the numbers is changed.

Find the product. Name the property illustrated.

Question 2.
4 × 2 = 2 × 4 = ____
______ Property
Answer:
Associative property.

Explanation:
Given the expression is 4 × 2 = 2 × 4 which is 8. And the property is Associative property where changing the group of factors does not change the product.

Question 3.
6 × 1 = ____
______ Property
Answer:
Identity property.

Explanation:
Given the expression is 6 × 1 which is 6. And the property is Identity property which states that if we multiply any number by 1 the answer will remain the same.

Question 4.
6 × 3 = 3 × 6 = ______
______ Property
Answer:
Associative property.

Explanation:
Given the expression is 6 × 3 = 3 × 6 which is 18. And the property is Associative property where changing the group of factors does not change the product.

Question 5.
8 × 1 = ___
_____ Property
Answer:
Identity property.

Explanation:
Given the expression is 8 × 1 which is 8. And the property is Identity property which states that if we multiply any number by 1 the answer will remain the same.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 3 Adding and Subtracting Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 3 Adding and Subtracting Fractions

Add or Subtract

Write your answers in simplest form.

Question 1.
\(\frac{4}{12}\) + \(\frac{4}{12}\) = ___________
Answer:
The Denominators of the given fractions are same so add the numerators.
4/12 + 4/12 = 8/12 = 2/3.

Question 2.
\(\frac{4}{5}\) – \(\frac{2}{5}\) = ____________
Answer:
The Denominators of the given fractions are same so Subtract the numerators.
4/5 – 2/5 = 4-2/5 = 2/5.

Question 3.
\(\frac{6}{10}\) + \(\frac{2}{10}\) = _____________
Answer:
The Denominators of the given fractions are same so add the numerators.
6/10 + 2/10
= 6 + 2/10
= 8/10
= 4/5.

Question 4.
\(\frac{2}{4}\) + \(\frac{1}{4}\) = _____________
Answer:
The Denominators of the given fractions are same so add the numerators.
2/4 + 1/4 = 2+1/4
= 3/4.

Question 5.
\(\frac{4}{7}\) – \(\frac{1}{7}\) = ______________
Answer:
The Denominators of the given fractions are same so subtract the numerators.
4/7 – 1/7
= 4-1/7
= 5/7.

Question 6.
\(\frac{2}{8}\) + \(\frac{5}{8}\) = ______________
Answer:
The Denominators of the given fractions are same so add the numerators.
2/8 + 5/8
= 5 + 2/8
= 7/8

Question 7.
\(\frac{3}{5}\) + \(\frac{1}{5}\) = ______________
Answer:
The Denominators of the given fractions are same so add the numerators.
3/5 + 1/5
= 3+1/5
= 4/5

Question 8.
\(\frac{6}{9}\) + \(\frac{2}{9}\) = _______________
Answer:
The Denominators of the given fractions are same so add the numerators.
6/9 + 2/9
= 6 + 2/9
= 8/9

Question 9.
\(\frac{1}{11}\) + \(\frac{1}{11}\) = _______________
Answer:
The Denominators of the given fractions are same so add the numerators.
1/11 + 1/11
= 1 + 1/11
= 2/11

Question 10.
Steve, Gabe, and Lena are decorating a wall. Steve decorates \(\frac{3}{7}\) of the wall, Gabe decorates \(\frac{1}{7}\), and Lena decorates \(\frac{3}{7}\). How much more of the wall do they have to decorate?
Answer:
Steve decorates \(\frac{3}{7}\) of the wall.
Gabe decorates \(\frac{1}{7}\) of the wall.
Lena decorates \(\frac{3}{7}\) of the wall.
The Denominators of the given fractions are same so add the numerators.
3/7 + 1/7 + 3/7 = 3+3+1/7
= 7/7 = 1
They have decorating 1 of the wall.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 4 Mixed Numbers and Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 4 Mixed Numbers and Fractions

Write

Write each fraction or mixed number as a sum of fractions. (Hint: There may be more than one correct answer for each.)

Question 1.
\(\frac{4}{5}\) = _____________
Answer:
\(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\)

Question 2.
1\(\frac{2}{3}\) = _____________
Answer:
Given that,
1 x (2/3) is a mixed fraction
The sum of the fractions of 1 x (2/3) = 1 x (1/3) + (1/3).

Question 3.
\(\frac{6}{3}\) = _____________
Answer:
Given that,
6/3 is a fraction.
The sum of the fractions of 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

Question 4.
1\(\frac{3}{5}\) = ____________
Answer:
Given that,
1 x (3/5) is a mixed fraction
The sum of the fractions of 1 x (3/5) = 1 x (1/5) + (1/5) + (1/5).

Question 5.
2\(\frac{7}{8}\) = _____________
Answer:
Given that,
2 x (7/8) is a mixed fraction.
The sum of the fractions of 2 x (7/8) is 1 x (7/8) + 1 x (7/8).

Question 6.
Write 3\(\frac{4}{2}\) as a sum of fractions.
Answer:
Given that,
3 x (4/2) is the mixed fraction.
The sum of the fractions of 3 x (4/2) = 3 x 1/2 + 1/2 + 1/2 + 1/2.