McGraw Hill Math

McGraw Hill Math Grade 6 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 11.4 Estimating Decimal Sums and Differences will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 11.4 Estimating Decimal Sums and Differences

Exercises Estimate

Question 1.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 1
Answer: 50.22
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-1
The actual sum is 50.22
The estimated sum is 50.20

Question 2.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 2
Answer: 59.14
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-2
The actual sum is 59.14
The estimated sum is 59.10

Question 3.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 3
Answer: 66.1
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-3
The actual difference is 66.1
The estimated difference is 66

Question 4.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 4
Answer: 9.45
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-4
The actual sum is 9.45
The estimated sum is 9.50

Question 5.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 5
Answer: 6.1
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-5
The actual difference is 6.1
The estimated difference is 6

Question 6.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 6
Answer: 19.36
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-6
The actual sum is 19.36
The estimated sum is 19.4

Question 7.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 7
Answer: 1.18
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-7
The actual difference is 1.18
The estimated difference is 1.2

Question 8.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 8
Answer:$10.19
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-8
The actual difference is $10.19
The estimated difference is $10.2

Question 9.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 9
Answer: 46.9
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-9
The actual difference is 46.9
The estimated difference is 47

Question 10.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 10
Answer: $5.8
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-10
The actual difference is $5.8
The estimated difference is $6

Question 11.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 11
Answer: 90.12
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-11
The actual sum is 90.12
The estimated sum is 90

Question 12.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences 12
Answer: 8.56
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.4-Answer-Key-Estimating-Decimal-Sums-and-Differences-12
The actual difference is 8.56
The estimated difference is 8.6

McGraw Hill Math Grade 6 Lesson 11.4 Answer Key Estimating Decimal Sums and Differences Read More »

McGraw Hill Math Grade 6 Lesson 11.3 Answer Key Adding and Subtracting Money

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 11.3 Adding and Subtracting Money will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 11.3 Adding and Subtracting Money

Exercises Add Subtract

Question 1.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 1
Answer: $10.67
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-1
So, the sum of two numbers $5 and $5.67 is $10.67

Question 2.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 2
Answer: $137.01
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-2
So, the sum of two numbers 3.45 and 133.56 is $137.01

Question 3.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 3
Answer: $32.52
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-3
So, the sum of two numbers $10.87 and $21.65 is $32.52

Question 4.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 4
Answer: $6.45
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-4
The difference of $11 and $4.55 is $6.45

Question 5.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 5
Answer: $2.89
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-5
The difference of 6.77 and 3.88 is $2.89

Question 6.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 6
Answer: $6.85
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-6
The difference of $12.30 and $5.45 is $6.85

Question 7.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 7
Answer: $5.11
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-7
The difference of 20.50 and 15.39 is 5.11

Question 8.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 8
Answer: $54.78
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-8
The difference of 62.32 and 7.54 is 54.78

Question 9.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 9
Answer: $33.55
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-9
The sum of 22.22 and 11.33 is $33.55

Question 10.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 10
Answer: 98
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-10
By adding 65 and 33 we get 98.

Question 11.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 11
Answer: $8.62
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-11
By adding 5.12 and 3.50 we get $8.62

Question 12.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 12
Answer: $107.96
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-12
By adding 71.42 and 36.54 we get $107.96

Question 13.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 13
Answer: $687.20
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-13
The difference of 1000 and 312.80 is 687.2

Question 14.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 14
Answer: $9.77
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-14
The difference of 21.10 and 11.33 is $9.77

Question 15.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 15
Answer: $1.95
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-15
The difference of 2.25 and 0.30 is $1.95

Question 16.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 16
Answer: $12.98
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-16
The difference of 45.53 and 32.55 is $12.98

Question 17.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 17
Answer: $0.32
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-17
The difference of $12.30 and $11.98 is $0.32

Question 18.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 18
Answer: $18.02
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-18
The difference of 56 and 37.98 is $18.02

Question 19.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 19
Answer: $21
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-19
The difference of 33 and 12 is $21.

Question 20.
McGraw Hill Math Grade 6 Chapter 11 Lesson 11.3 Answer Key Adding and Subtracting Money 20
Answer: $2.87
McGraw-Hill-Math-Grade-6-Chapter-11-Lesson-11.3-Answer-Key-Adding-and-Subtracting-Money-20
The difference of 41.65 and 38.78 is $2.87

McGraw Hill Math Grade 6 Lesson 11.3 Answer Key Adding and Subtracting Money Read More »

McGraw Hill Math Grade 1 Chapter 11 Lesson 11 Answer Key Making Shapes

All the solutions provided in McGraw Hill Math Grade 1 Answer Key PDF Chapter 11 Lesson 11 Making Shapes as per the latest syllabus guidelines.

McGraw-Hill Math Grade 1 Answer Key Chapter 11 Lesson 11 Making Shapes

Solve

Question 1.
Draw a rectangle on your own paper. Cut it into small shapes. Ask an adult for help. What small shapes did you make?
Answer:
Squares
McGraw-Hill Math Grade 1 Answer Key Chapter 11 img 3
Explanation:
A rectangle is cut into 3 squares.
They look like a squares.

Question 2.
Look at your small shapes. Make a large shape with them.
Answer:
McGraw-Hill Math Grade 1 Answer Key Chapter 11 img 3
Explanation:
Three small squares are joined to form a rectangle.

Question 3.
Find two cubes, such as blocks. The cubes should be the same size. Put one on top of the other.
McGraw Hill Math Grade 1 Chapter 11 Lesson 11 Answer Key Making Shapes 1
Circle the name of the new shape
cone
cylinder
rectangular prism
Answer:
rectangular prism
Explanation:
Two cubes are joined to form a rectangular prism.

McGraw Hill Math Grade 1 Chapter 11 Lesson 11 Answer Key Making Shapes Read More »

McGraw Hill Math Grade 1 Chapter 11 Lesson 10 Answer Key Finding Solid Figures

All the solutions provided in McGraw Hill Math Grade 1 Answer Key PDF Chapter 11 Lesson 10 Finding Solid Figures as per the latest syllabus guidelines.

McGraw-Hill Math Grade 1 Answer Key Chapter 11 Lesson 10 Finding Solid Figures

Identify

Look at the solid figure. Circle the objects that have the same shape.

Question 1.
McGraw Hill Math Grade 1 Chapter 11 Lesson 10 Answer Key Finding Solid Figures 1
Answer:
Cylinder shape
Explanation:
A cylinder is round and has a top and bottom in the shape of a circle.
The top and bottom are flat and always the same size.
And it has a curved surface.

Question 2.
McGraw Hill Math Grade 1 Chapter 11 Lesson 10 Answer Key Finding Solid Figures 2
Answer:
McGraw-Hill Math Grade 1 Answer Key Chapter 11
Explanation:
The given shape is a cone so, circled the traffic cones and a birthday cap
A cone has a single flat face (also called its base) that’s in the shape of a circle.

Question 3.
McGraw Hill Math Grade 1 Chapter 11 Lesson 10 Answer Key Finding Solid Figures 3
Answer:
McGraw-Hill Math Grade 1 Answer Key Chapter 11 img 2
Explanation:
The given box is in cube shape so, it is same like gift box and tissue box
so, circled them.

McGraw Hill Math Grade 1 Chapter 11 Lesson 10 Answer Key Finding Solid Figures Read More »

McGraw Hill Math Grade 1 Chapter 11 Lesson 1 Answer Key Names of Shapes

All the solutions provided in McGraw Hill Math Grade 1 Answer Key PDF Chapter 11 Lesson 1 Names of Shapes as per the latest syllabus guidelines.

McGraw-Hill Math Grade 1 Answer Key Chapter 11 Lesson 1 Names of Shapes

Identify

Circle the name of the shape.

Question 1.
McGraw Hill Math Grade 1 Chapter 11 Lesson 1 Answer Key Names of Shapes 1
circle
square
triangle
Answer:
triangle
Explanation:
A triangle is 2-D figure and a three sided polygon.
IT has 3 sides and 3 corners with flat surfaces.

Question 2.
McGraw Hill Math Grade 1 Chapter 11 Lesson 1 Answer Key Names of Shapes 2
rectangle
circle
square
Answer:
Circle.
Explanation:
A circle consists of a closed curved line around a central point.
A circle doesn’t have sides and corners.
And it is round in shape.

Question 3.
Circle the rectangle.
McGraw Hill Math Grade 1 Chapter 11 Lesson 1 Answer Key Names of Shapes 3
Answer:
McGraw-Hill Math Grade 1 Answer Key Chapter 11 img 1
Explanation:
A rectangle has 4 sides and 4 corners
opposite sides are equal in a rectangle.

Question 4.
Color the circle green.
McGraw Hill Math Grade 1 Chapter 11 Lesson 1 Answer Key Names of Shapes 4
Answer:
McGraw-Hill Math Grade 1 Answer Key Chapter 11 img 1
Explanation:
Colored the circle as green.
A circle consists of a closed curved line around a central point.
A circle doesn’t have sides and corners.
And it is round in shape.

McGraw Hill Math Grade 1 Chapter 11 Lesson 1 Answer Key Names of Shapes Read More »

McGraw Hill Math Grade 8 Lesson 12.3 Answer Key Multiplying and Dividing Negative Numbers

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 12.3 Multiplying and Dividing Negative Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 12.3 Multiplying and Dividing Negative Numbers

Exercises

MULTIPLY OR DIVIDE

Question 1.
-5 × (-3) = ____________
Answer:
15,

Explanation:
Given to multiply -5 X (-3) so
multiplying -5 X (-3) = 15.

Question 2.
15 × (-10) = _______________
Answer:
-150,

Explanation:
Given to multiply 15 X (-10) so
multiplying 15 X (-10) = -150.

Question 3.
-100 ÷ 12 = _____________
Answer:
-8.333,

Explanation:
Given to multiply -100 ÷ 12, so
dividing -100 ÷ 12 = -8.333.

Question 4.
-25 × -3 = ______________
Answer:
75,

Explanation:
Given to multiply -25 X -3, so
multiplying -25 X -3 = 75.

Question 5.
-15 × 15 = ______________
Answer:
-225,

Explanation:
Given to multiply -15 X 15 so
multiplying -15 X 15 = -225.

Question 6.
-12 × -5 × -5 = _______________
Answer:
-300,

Explanation:
Given to multiply -12 X -5 X -5, so
multiplying -12 X -5 X -5 = -300.

Question 7.
-2 × 14 = _______________
Answer:
-28,

Explanation:
Given to multiply -2 X 14 so
multiplying -2 X 14 = -28.

Question 8.
-11 × 21 = ________________
Answer:
-231,

Explanation:
Given to multiply 11 X 21, so
multiplying 11 X 21 = -231.

Question 9.
-15 × -5 × 3 = _______________
Answer:
225,

Explanation:
Given to multiply -15 X -5 X 3, so
multiplying -15 X -5 X 3 = 225.

Question 10.
-3 × -103 × -2 = ______________
Answer:
-618,

Explanation:
Given to multiply -3 X -103 X -2 so
multiplying -3 X -103 X -2 = -618.

Question 11.
-20 ÷ -20 × 14 = _______________
Answer:
5,600,

Explanation:
Given to divide and multiply
-20 ÷ -20 × 14, so dividing &
multiplying -20 ÷ -20 × 14 = 5,600.

Question 12.
-22 × 11 × -10 = _______________
Answer:
2,420,

Explanation:
Given to multiply -22 X 11 X -10, so
multiplying -22 X 11 X -10 = 2,420.

Question 13.
-8 × -14 = _____________
Answer:
112,

Explanation:
Given to multiply -8 X -14, so
multiplying -8 X -14 = 112.

Question 14.
-132 ÷ 44 = _______________
Answer:
-3,

Explanation:
Given to divide -132 ÷ 44, so
dividing -132 ÷ 44 = 3.

Question 15.
(150 ÷ -30) × -3 = ______________
Answer:
15,

Explanation:
Given to divide and multiply
(150 ÷ -30) × -3, so dividing &
multiplying as (150 ÷ -30) × -3 = 15.

Question 16.
55 ÷ -55 ÷ -12 = _______________
Answer:
12,

Explanation:
Given to divide 55 ÷ -55 ÷ -12, so
55 ÷ -55 ÷ -12 = 12.

Question 17.
(-25 ÷ (-3 × 10)) ÷ -15 = _____________
Answer:
-12.5,

Explanation:
Given to divide, multiply and divide
(-25 ÷ (-3 X 10) ÷ -15, so dividing, multiplying &
dividing as (-25 ÷ (-3 X 10) ÷ -15 = -12.5.

Question 18.
52 × -13 ÷ -4 = _______________
Answer:
169,

Explanation:
Given to multiply and divide
52 X -13 ÷ -4, so multiplying &
dividing as 52 X -13 ÷ -4 = 169.

McGraw Hill Math Grade 8 Lesson 12.3 Answer Key Multiplying and Dividing Negative Numbers Read More »

McGraw Hill Math Grade 8 Lesson 12.2 Answer Key Adding and Subtracting Negative Numbers

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 12.2 Adding and Subtracting Negative Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 12.2 Adding and Subtracting Negative Numbers

Exercises

ADD OR SUBTRACT

Question 1.
171 + (-32) = ______________
Answer:
139,

Explanation:
Given to add 171 + (-32), So we get
171 – 32 = 139.

Question 2.
(-145) + 61 = _____________
Answer:
-84,

Explanation:
Given to add (-145) + 61, So we get
(-145) + 61 = -84

Question 3.
111 + (-112) = _____________
Answer:
-1,

Explanation:
Given to add 111+ (-112), So we get
111 + (-112) = -1.

Question 4.
715 + (-316) = ______________
Answer:
399,

Explanation:
Given to add 715 + (-316), So we get
715 + (-316) = 399.

Question 5.
1101 + (-561) – 114 = _____________
Answer:
426,

Explanation:
Given to add 1101 + (-561) -114, So we get
1101 + (-561) -114 = 426.

Question 6.
295 + (-365) + (-111) = ______________
Answer:
-181,

Explanation:
Given to add 295 + (-365) + (-111) , So we get
295 + (-365) + (-111) = -181.

Question 7.
(-210) + (-210) – 427 = _______________
Answer:
-847,

Explanation:
Given to add (-210) + (-210) – 427 , So we get
(-210) + (-210) – 427 = -847.

Question 8.
71 + (-53) + 10 = ______________
Answer:
28,

Explanation:
Given to add 71 + (-53) + 10 , So we get
71 + (-53) + 10 = 28.

Question 9.
301 + (-222) =  _______________
Answer:
79,

Explanation:
Given to add 301 + (-222), So we get
301 + (-222) = 79.

Question 10.
118 – 181 – (-128) = _______________
Answer:
65,

Explanation:
Given to add 118 – 181 – (-128), So we get
118 – 181 – (-128) = 65.

Question 11.
(-125) + 214 = ______________
Answer:
89,

Explanation:
Given to add (-125) + 214 , So we get
(-125) + 214 = 89.

Question 12.
85 – 19 + 24 + (-110) = ______________
Answer:
-20,

Explanation:
Given to add 85 – 19 + 24 + (-110) , So we get
85 – 19 + 24 + (-110) = -20.

Question 13.
27 + (-79) – 30 = ________________
Answer:
-82,

Explanation:
Given to add 27 + (-79) – 30 , So we get
27 + (-79) – 30 = -82.

Question 14.
(-213) + 163 + (-119) = ______________
Answer:
-169,

Explanation:
Given to add(-213) + 163 + (-119), So we get
(-213) + 163 + (-119) =-169.

Question 15.
42 + 22 + (-67) – (-31) = ______________
Answer:
34,

Explanation:
Given to add 42 + 22 + (-67) – (-31) , So we get
42 + 22 + (-67) – (-31) = 34.

Question 16.
12 – (-29) – 29 = _______________
Answer:
12,

Explanation:
Given to add 12 – (-29) – 29 , So we get
12 – (-29) – 29 = 12.

McGraw Hill Math Grade 8 Lesson 12.2 Answer Key Adding and Subtracting Negative Numbers Read More »

McGraw Hill Math Grade 8 Lesson 13.5 Answer Key Equations with Infinite or No Solutions

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 13.5 Equations with Infinite or No Solutions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 13.5 Equations with Infinite or No Solutions

Exercises

SOLVE

Write “infinite” if the equation has an infinite number of solutions. Write “No solution” if the equation cannot be solved.

Question 1.
0 = -2x + 2x
Answer:
Infinite solutions,

Explanation:
Given to find the solution for equation
0 = – 2x + 2x, So adding 2x both sides 2x = 2x,
x = x , therefore what ever number I substitute
the equation is true, therefore this equation has
infinite solutions.

Question 2.
4x – 7 = 21
Answer:
finite solution,

Explanation:
Given to find the solution for equation
4x – 7 = 21,
4x = 21 + 7,
4x = 28,
x = 28 ÷ 4 = 7, So equation has finite solution.

Question 3.
6 = x + 2 – x
Answer:
No solution,

Explanation:
Given to find the solution for equation
6 = x + 2 – x,
6 = 2 means this is not true, So equation
has no solutions.

Question 4.
3x + 2 – 3x = 7
Answer:
No solution,

Explanation:
Given to find the solution for equation
3x + 2 – 3x = 7,
2 = 7 means this is not true, So equation
has no solutions.

Question 5.
5x + 4 – 5x = 4
Answer:
Infinite solutions,

Explanation:
Given to find the solution for equation
5x + 4 – 5x = 4,
4 = 4, therefore what ever number I substitute
the equation is true, therefore this equation has
infinite solutions.

Question 6.
8x – 24 = 0
Answer:
finite solution,

Explanation:
Given to find the solution for equation
8x – 24 = 0,
8x = 24,
x = 24 ÷ 8 = 3,
So equation has finite solution.

McGraw Hill Math Grade 8 Lesson 13.5 Answer Key Equations with Infinite or No Solutions Read More »

McGraw Hill Math Grade 8 Lesson 13.3 Answer Key Solving Equations with Multiplication and Division

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 13.3 Solving Equations with Multiplication and Division to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 13.3 Solving Equations with Multiplication and Division

Exercises

SOLVE

Question 1.
7n = 49
Answer:
n = 7,

Explanation:
Given to solve 7n = 49,
So n = 49 ÷ 7 = 7.

Question 2.
\(\frac{q}{5}\) = 9
Answer:
q = 45,

Explanation:
Given to solve \(\frac{q}{5}\) = 9,
So q = 9 X 5 = 45.

Question 3.
12f = 84
Answer:
f = 7,

Explanation:
Given to solve 12f = 84,
So f = 84 ÷ 12 = 7.

Question 4.
\(\frac{42}{b}\) = 14
Answer:
b = 3,

Explanation:
Given to solve \(\frac{42}{b}\) = 14,
So b = 42 ÷ 14 = 3.

Question 5.
3k = 39
Answer:
k = 13,

Explanation:
Given to solve 3k = 39,
So k = 39 ÷ 3 = 13.

Question 6.
55 ÷ s = 11
Answer:
s = 5,

Explanation:
Given to solve 55 ÷ s = 11,
So s = 55 ÷ 11 = 5.

Question 7.
\(\frac{m}{30}\) = 4
Answer:
m = 120,

Explanation:
Given to solve \(\frac{m}{30}\) = 4,
So m = 4 X 30 = 120.

Question 8.
16h = 112
Answer:
7,

Explanation:
Given to solve 16h = 112,
So h = 112 ÷ 16 = 7.

Question 9.
\(\frac{x}{15}\) = 6
Answer:
x = 90,

Explanation:
Given to solve \(\frac{x}{15}\) = 6,
So x = 6 X 15 = 90.

Question 10.
4n = 56
Answer:
n = 14,

Explanation:
Given to solve 4n = 56,
So n = 56 ÷ 4 = 14.

Question 11.
18m = 72
Answer:
m = 4,

Explanation:
Given to solve 18m = 72,
So m = 72 ÷ 18 = 4.

Question 12.
11d = 143
Answer:
d = 13,

Explanation:
Given to solve 11d = 143,
So d = 143 ÷ 11 = 13.

McGraw Hill Math Grade 8 Lesson 13.3 Answer Key Solving Equations with Multiplication and Division Read More »

McGraw Hill Math Grade 8 Lesson 10.7 Answer Key Scientific Notation

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.7 Scientific Notation to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 10.7 Scientific Notation

Exercises

CONVERT

Write each number using scientific notation.

Question 1.
.0013
Answer:
1.3 x 10-3
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 0.0013 becomes 1.3 x 10-3.

Question 2.
810.114
Answer:
8.10114 x 102
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 810.114 becomes 8.10114 x 102.

Question 3.
4.0095
Answer:
4.0095 x 100
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 4.0095 becomes 4.0095 x 100.

Question 4
.00005
Answer:
5.0 x 10-5
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 0.00005 becomes 5.0 x 10-5.

Question 5.
.5851
Answer:
5.851 x 10-1
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 0.5851 becomes 5.851 x 10-1.

Question 6.
220.467
Answer:
2.20467 x 102
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 220.467 becomes 2.20467 x 102.

Question 7.
426.7
Answer:
4.267 x 102
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 426.7 becomes 4.267 x 102.

Question 8.
11901.55
Answer:
1.190155 x 104
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 11901.55 becomes 1.190155 x 104.

Question 9.
.0606544
Answer:
6.06544 x 10-2
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 0.0606544 becomes 6.06544 x 10-2.

Question 10.
.8852
Answer:
8.852 x 10-1
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 0.8852 becomes 8.852 x 10-1.

Question 11.
1488.951
Answer:
1.488951 x 103
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 1488.951 becomes 1.488951 x 103.

Question 12.
200001.990
Answer:
2.0000199 x 105
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 200001.990 becomes 2.0000199 x 105.

Question 13.
.0006660
Answer:
6.66 x 10-4
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 0.0006660 becomes 6.66 x 10-4.

Question 14.
.002679
Answer:
2.679 x 10-3
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 0.002679 becomes 2.679 x 10-3.

Question 15.
1.1110
Answer:
1.111 x 100
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 1.1110 becomes 1.111 x 100.

Question 16.
3007.5
Answer:
3.0075 x 103
Explanation:
Scientific notation is a way to make these numbers easier to work with.
In scientific notation, you move the decimal place until you have a number between 1 and 10.
Then you add a power of ten that tells how many places you moved the decimal.
In scientific notation, 3007.5 becomes 3.0075 x 103.
Write each number in standard form.

Question 17.
2.6699 × 105
Answer:
266,990
Explanation:
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.
2.6699 × 105
= 266,990 × 100
= 266,990
Question 18.
1.4455 × 103
Answer:
1,445.5
Explanation:
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.
1.4455 × 103
= 1,445.5 × 100
= 1,445.5
Question 19.
9.6603171 × 106
Answer:
9,660,317.1
Explanation:
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.
9.6603171 × 106
= 9,660,317.1 × 100
= 9,660,317.1
Question 20.
3.0302 × 104
Answer:
30,302
Explanation:
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.
3.0302 × 104
= 30,302 × 100
= 30,302
Question 21.
2.77 × 10-3
Answer:
0.00277
Explanation:
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is negative, move the decimal point in the coefficient to the left one space for each value in the exponent.
2.77 × 10-3
= 0.00277 × 100
= 0.00277
Question 22.
3.919181 × 105
Answer:
391,918.1
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.
3.919181 × 105
= 391,918.1 × 100
= 391,918.1
Question 23.
1.588 × 103
Answer:
1,588
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.
1.588 × 103
= 1,588 × 100
= 1,588

Question 24.
1.0801 × 10-2
Answer:
0.010801
To convert a number expressed in scientific notation to a decimal by solving,
but this would get more difficult to do manually as the exponent gets larger.
There’s an alternate way to convert to decimal without solving the equation.
If the exponent is negative, move the decimal point in the coefficient to the left one space for each value in the exponent.
1.0801 × 10-2
= 0.010801 × 100
= 0.010801

McGraw Hill Math Grade 8 Lesson 10.7 Answer Key Scientific Notation Read More »

Scroll to Top