WRITING NUMBERS IN STANDARD NOTATION WORKSHEETS

About "Writing numbers in standard notation worksheets"

Writing numbers in standard notation worksheets :

Worksheet on writing numbers in standard notation is much useful to the students who would like to practice problems on writing numbers from scientific notation to standard notation. 

Writing numbers in standard notation worksheets - Questions

1.  Write 3.5 × 10⁶ in standard notation. 

2.  Explain why the exponent in 3.5 × 10 is 6, while there are only 5 zeros in 3,500,000.

3.  Platelets are one component of human blood. A typical platelet has a diameter of approximately 2.33×10  meter. Write 2.33 × 10⁶ in standard notation. 

4. What is the exponent on 10 when you write 5.3 in scientific notation ?

5. Explain whether 0.9×10is written scientific  notation.  If not, write the number correctly in scientific notation.

6.  Which number is larger, 2×10³ or  3×10² ? Explain.

Writing numbers in standard notation worksheets - Answers

Question 1 : 

Write 3.5 × 10⁶ in standard notation. 

Solution : 

Step 1 :

Use the exponent of the power of 10 to see how many places to move the decimal point.

6 places

Step 2 :

Since the exponent of 10 in 3.5 × 10 is positive, we have to write a number less than 3.5.

Since you are going to write a number greater than 3.5, move the decimal point to the right. Add placeholder zeros if necessary.

Hence. the number 3.5 × 10⁶ in standard notation is 3,500,000.

Question 2 :

Explain why the exponent in 3.5 × 10 is 6, while there are only 5 zeros in 3,500,000.

Answer : 

The decimal point moves 6 places to the right, but one of those places is the 5 tenths in 3.5, so only 5 placeholder zeros are needed.

Question 3 : 

Platelets are one component of human blood. A typical platelet has a diameter of approximately 2.33×10  meter. Write 2.33 × 10⁶ in standard notation. 

Solution : 

Step 1 :

Use the exponent of the power of 10 to see 6 places how many places to move the decimal point.

6 places

Step 2 :

Since the exponent of 10 in 2.33×10 is negative, we have to write a number less than 2.33.

Since you are going to write a number less than 2.33, move the decimal point to the left. Add placeholder zeros if necessary.

Hence. the number 2.33 × 10⁶ in standard notation is 0.00000233.

Question 4 :

What is the exponent on 10 when you write 5.3 in scientific notation ?

Answer :

When 5.3 is written in scientific notation, we have 

5.3  =  5.3×10

So, the exponent on 10 is 0.

Question 5 :

Explain whether 0.9×10 is written in scientific   notation. If not, write the number correctly in scientific notation.

Answer :

No

Because the first factor is less than 1. The decimal point should move to the right and the exponent should decrease by 1 : 9×10

Question 6 : 

Which number is larger, 2×10³ or  3×10² ? Explain.

Answer :

3×10² is larger. 

Because its exponent is greater.

After having gone through the stuff given above, we hope that the students would have understood, "Writing numbers in standard notation worksheets". 

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