Scroll:Number theory >> Scientific notation >> saq (3893)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

 How do you write 125 in scientific notation

 × 10


Answer:_______________




2)  

 How do you write

2.27 × 10
5

in standard form


Answer:_______________




3)  

 How do you write 9,575 in scientific notation

 × 10


Answer:_______________




4)  

 How do you write 5600 in scientific notation

 × 10


Answer:_______________




5)  

 How do you write

9.2 × 10
1

in standard form


Answer:_______________




6)  

 How do you write 615 in scientific notation

 × 10


Answer:_______________




7)  

 How do you write

5.64 × 10
5

in standard form


Answer:_______________




8)  

 How do you write 3,157 in scientific notation

 × 10


Answer:_______________




9)  

 How do you write 3900 in scientific notation

 × 10


Answer:_______________




10)  

 How do you write

1.2 × 10
1

in standard form


Answer:_______________




 

1)  

 How do you write 125 in scientific notation

Answer: 1.25 × 10
Answer: 2


SOLUTION 1 :

 Remember:

The first factor must be at least 1 and less than 10.
The second factor must be a power of 10.

Solve:

Move the decimal point to the left until the number is between 1 and 10. Count how many places you move the decimal point.
125 → 1.25

You moved the decimal point 2 places to the left. The power of 10 is 102.

125 = 1.25 x 102



2)  

 How do you write

2.27 × 10
5

in standard form

Answer: 227000


SOLUTION 1 :

 Remember:

The power of 10 tells you how many places to the right to move the decimal point.

Solve:

 You want to move the decimal point 5 places to the right. First, write extra zeroes to the right of the decimal point. Remember that writing extra zeroes to the right of a decimal does not change its value.

 

2.27 = 2.27000


Now move the decimal point 5 places to the right.

2.27000 → 227000

2.27 × 105 = 227000

 



3)  

 How do you write 9,575 in scientific notation

Answer: 9.575 × 10
Answer: 3


SOLUTION 1 :

Remember:

The first factor must be at least 1 and less than 10.
The second factor must be a power of 10.

Solve:

Move the decimal point to the left until the number is between 1 and 10. Count how many places you move the decimal point.
9,575 → 9.575

You moved the decimal point 3 places to the left. The power of 10 is 103.

9,575 = 9.575 x 103



4)  

 How do you write 5600 in scientific notation

Answer: 5.6 × 10
Answer: 3


SOLUTION 1 :

Remember:

The first factor must be at least 1 and less than 10.
The second factor must be a power of 10.

Solve:

Move the decimal point to the left until the number is between 1 and 10. Count how many places you move the decimal point.
5,600 → 5.6

You moved the decimal point 3 places to the left. The power of 10 is 103.

5,600 = 5.6 x 103



5)  

 How do you write

9.2 × 10
1

in standard form

Answer: 92


SOLUTION 1 :

 Remember:

The power of 10 tells you how many places to the right to move the decimal point.

Solve:

 

Look at 101. The 10 is raised to the power of 1. Move the decimal point 1 place to the right.

 

9.2 →  92.

9.2 × 101 = 92

 



6)  

 How do you write 615 in scientific notation

Answer: 6.15 × 10
Answer: 2


SOLUTION 1 :

 Remember:

The first factor must be at least 1 and less than 10.
The second factor must be a power of 10.

Solve:

Move the decimal point to the left until the number is between 1 and 10. Count how many places you move the decimal point.
615 → 6.15

You moved the decimal point 2 places to the left. The power of 10 is 102.

615 = 6.15 x 102



7)  

 How do you write

5.64 × 10
5

in standard form

Answer: 564000


SOLUTION 1 :

 Remember:

The power of 10 tells you how many places to the right to move the decimal point.

Solve:

 You want to move the decimal point 5 places to the right. First, write extra zeroes to the right of the decimal point. Remember that writing extra zeroes to the right of a decimal does not change its value.

 

5.64 = 5.64000


Now move the decimal point 5 places to the right.

5.64000 → 564000

5.64 × 105 = 564000

 



8)  

 How do you write 3,157 in scientific notation

Answer: 3.157 × 10
Answer: 3


SOLUTION 1 :

Remember:

The first factor must be at least 1 and less than 10.
The second factor must be a power of 10.

Solve:

Move the decimal point to the left until the number is between 1 and 10. Count how many places you move the decimal point.
3,157 → 3.157

You moved the decimal point 3 places to the left. The power of 10 is 103.

3,157 = 3.157 x 103



9)  

 How do you write 3900 in scientific notation

Answer: 3.9 × 10
Answer: 3


SOLUTION 1 :

Remember:

The first factor must be at least 1 and less than 10.
The second factor must be a power of 10.

Solve:

Move the decimal point to the left until the number is between 1 and 10. Count how many places you move the decimal point.
3,900 → 3.9

You moved the decimal point 3 places to the left. The power of 10 is 103.

3,900 = 3.9 x 103



10)  

 How do you write

1.2 × 10
1

in standard form

Answer: 12


SOLUTION 1 :

 Remember:

The power of 10 tells you how many places to the right to move the decimal point.

Solve:

 

Look at 101. The 10 is raised to the power of 1. Move the decimal point 1 place to the right.

 

1.2 →  12.

1.2 × 101 = 12