# Spectrum Math Grade 8 Chapter 1 Lesson 4 Answer Key Scientific Notation

Students can use the Spectrum Math Grade 8 Answer Key Chapter 1 Lesson 1.4 Scientific Notation as a quick guide to resolve any of their doubts.

## Spectrum Math Grade 8 Chapter 1 Lesson 1.4 Scientific Notation Answers Key

Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10. Any number can be expressed in scientific notation. Translate numbers written in scientific notation into standard form by reading the exponent. Write each number in scientific notation.

Question 1.
a. 0.013 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 2 places and multiply the shift by the power of 10.
0.013 = 1.3 × 10-2

b. 4105 = _____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 3 places and multiply the shift by the power of 10.
4105 = 4.105 × 103

c. 27.3 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 1 places and multiply the shift by the power of 10.
27.3 = 2.73 × 101

Question 2.
a. 810.4 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 2 places and multiply the shift by the power of 10.
810.4 = 8.104 × 102

b. 0.684 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 1 places and multiply the shift by the power of 10.
0.684 = 6.84 × 10-1

c. 0.017 = _____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 2 places and multiply the shift by the power of 10.
0.017 = 1.7 × 10-2

Question 3.
a. 0.0006 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 4 places and multiply the shift by the power of 10.
0.0006 = 6 × 10-4

b. 427.5 = ___
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 2 places and multiply the shift by the power of 10.
427.5 = 4.275 × 102

c. 36,054 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 4 places and multiply the shift by the power of 10.
36,054 = 3.6054 × 104

Question 4.
a. 50,210 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 4 places and multiply the shift by the power of 10.
50,210 = 5.0210 × 104

b. 0.0005 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 4 places and multiply the shift by the power of 10.
0.0005 = 5 × 10-4

c. 256.21 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 2 places and multiply the shift by the power of 10.
256.21 = 2.5621 × 102

Question 5.
a. 36.25 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 1 places and multiply the shift by the power of 10.
36.25 = 3.625 × 101

b. 0.892 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 1 places and multiply the shift by the power of 10.
0.892 = 8.92 × 10-1

c. 0.00065 = _____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 4 places and multiply the shift by the power of 10.
0.00065 = 6.5 × 10-4

Question 6.
a. 0.027 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 2 places and multiply the shift by the power of 10.
0.027 = 2.7 × 10-2

b. 1,416.3 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 1 places and multiply the shift by the power of 10.
1,416.3 = 1.4163 × 103

c. 0.0049 = _____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 3 places and multiply the shift by the power of 10.
0.0049 = 4.9 × 10-3

Write each number in standard form.

Question 7.
a. 2.6 × 10-3 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 3 times
2.6 × 10-3 = 0.0026

b. 8.46 × 105 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 5 times
8.46 × 105 = 846000

c. 4.65 × 10-1 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 1 time
4.65 × 10-1 = 0.465

Question 8.
a. 9.02 × 104 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 4 times
9.02 × 104 = 90200

b. 5.15 × 10-2 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 1 time

c. 8.45 × 103 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 3 times
8.45 × 103 = 8450

Question 9.
a. 7.25 × 10-4 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 4 time
7.25 × 10-4 = 0.000725

b. 1.06 × 103 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 3 times
1.06 × 103 = 1060

c. 9.06 × 10-5 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 5 time
9.06 × 10-5 = 0.0000906

Question 10.
a. 9.7 × 10-3 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 3 time
9.7 × 10-3 = 0.0097

b. 3.02 × 104 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 4 times
3.02 × 104 = 30200

c. 1.56 × 104 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 4 times
1.56 × 104 = 15600

Write each number in scientific notation.

Question 1.
a. 32.5 = _____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 1 places and multiply the shift by the power of 10.
32.5= 3.25 × 101

b. 6,708 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 3 places and multiply the shift by the power of 10.
6708= 6.708 × 103

c. 387 = _____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 2 places and multiply the shift by the power of 10.
387= 3.87 × 102

Question 2.
a. 0.569 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 1 places and multiply the shift by the power of 10.
0.569 = 5.69 × 10-1

b. 67,345 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 4 places and multiply the shift by the power of 10.
67,345 = 6.7345 × 104

c. 0.027 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 2 places and multiply the shift by the power of 10.
0.027 = 2.7 × 10-2

Question 3.
a. 0.079 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 2 places and multiply the shift by the power of 10.
0.079 = 7.9 × 10-2

b. 0.51 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 1 places and multiply the shift by the power of 10.
0.51 = 5.1 × 10-1

c. 6,791 = _____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 3 places and multiply the shift by the power of 10.
6,791 = 6.791 × 103

Question 4.
a. 98.25 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 1 places and multiply the shift by the power of 10.
98.25 = 9.825 × 101

b. 2,385 = ___
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 3 places and multiply the shift by the power of 10.
2,385 = 2.385 × 103

c. 0.413 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 4 places and multiply the shift by the power of 10.
0.413 = 4.13 × 10-4

Question 5.
a. 7,831 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 3 places and multiply the shift by the power of 10.
7,831 = 7.831 × 103

b. 418 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 2 places and multiply the shift by the power of 10.
418= 4.18 × 102

c. 75.183 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 1 places and multiply the shift by the power of 10.
75.183 = 7.5183 × 101

Question 6.
a. 0.0004 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 4 places and multiply the shift by the power of 10.
0.0004= 4 × 10-4

b. 7,301.4 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 3 places and multiply the shift by the power of 10.
7,301.4 = 7.3014 × 103

c. 0.0018 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 3 places and multiply the shift by the power of 10.
0.0018= 1.8 × 10-3

Question 7.
a. 5,624 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 3 places and multiply the shift by the power of 10.
5,624 = 5.624 × 103

b. 23.65 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 1 places and multiply the shift by the power of 10.
23.65 = 2.365× 101

c. 0.965 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 1 places and multiply the shift by the power of 10.
0.965 = 9.65 × 10-1

Question 8.
a. 0.0045 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 3 places and multiply the shift by the power of 10.
0.0045 = 4.5 × 10-3

b. 523 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal left 2 places and multiply the shift by the power of 10.
523 = 5.23× 102

c. 0.355 = ____
Scientific notation is most often used as a concise way of writing very large and very small numbers. It is written as a number between 1 and 10 multiplied by a power of 10.
Move the decimal right 1 places and multiply the shift by the power of 10.
0.355 = 3.55 × 10-1

Write each number in standard form.

Question 9.
a. 9.13 × 105 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 5 times
9.13 × 105 = 913000

b. 4.02 × 10-3 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 3 times
4.02 × 10-3 = 0.00402

c. 2.43 × 104 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 4 times
2.43 × 104 = 24300

Question 10.
a. 1.124 × 10-1 = _____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 1 time
1.124 × 10-1 = 0.1124

b. 8.48 × 103 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 3 times
8.48 × 103 = 8480

c. 5.12 × 10-2 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 2 times
5.12 × 10-2 = 0.0512

Question 11.
a. 9.47 × 103 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 3 times
9.47 × 103 = 9470

b. 3.28 × 10-4 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 4 times
3.28 × 10-4 = 0.000328

c. 6.73 × 10-3 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 3 times
6.73 × 10-3 = 0.00673

Question 12.
a. 5.3 × 10-5 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 5 times
5.3 × 10-5 = 0.000053

b. 4.13 × 104 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 4 times
4.13 × 104 = 41300

c. 3.78 × 104 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 4 times
3.78 × 104 = 37800

Question 13.
a. 3.12 × 103 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 3 times
3.12 × 103 = 3120

b. 1.329 × 105 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 5 times
1.329 × 105 = 132900

c. 8.69 × 102 = _____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 2 times
8.69 × 102 = 869

Question 14.
a. 4.5 × 10-4 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 4 times
4.5 × 10-4 = 0.00045

b. 9.8 × 10-6 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 6 times
9.8 × 10-6 = 0.0000098

c. 3.56 × 105 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 5 times
3.56 × 105 = 356000

Question 15.
a. 5.42 × 10-2 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 2 times
5.42 × 10-2 = 0.0542

b. 9.08 × 10-8 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal left 8 times
9.08 × 10-8 = 0.0000000908

c. 2.7 × 103 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 3 times
2.7 × 103 = 2700

Question 16.
a. 7.3 × 102 = ____
Translate numbers written in scientific notation into standard form by reading the exponent.
Move the decimal right 2 times
7.3 × 102 = 730

b. 1.25 × 104 = ____