Chapter 5, Problem 6A

(a)

Interpretation Introduction

Interpretation: Given scientific notation $8.881\times {10}^5$ needs to be rewritten as an ordinary decimal number.

Concept Introduction: The scientific notation is the simple way to rewrite the decimal number. It is used to write very large or very small numbers with multiplied by a power of 10.

Answer to Problem 6A

  $8.881\times {10}^5$ = $888100$

Explanation of Solution

To convert the scientific notation to ordinary decimal number, start with the number left of the multiplication sign and add the decimal point right with positive exponent. Whereas the decimal point will add at the left side if there is negative exponent. Thus, the ordinary decimal number of $8.881\times {10}^5$ must be $888100$

(b)

Interpretation Introduction

Interpretation: Given scientific notation $8.881\times {10}^{-5}$ needs to be rewritten as an ordinary decimal number.

Concept Introduction: The scientific notation is the simple way to rewrite the decimal number. It is used to write very large or very small numbers with multiplied by a power of 10.

Answer to Problem 6A

  $8.881\times {10}^{-5}$ = $0.00008881$

Explanation of Solution

To convert the scientific notation to ordinary decimal number, start with the number left of the multiplication sign and add the decimal point right with positive exponent. Whereas the decimal point will add at the left side if there is negative exponent. Thus, the ordinary decimal number of $8.881\times {10}^5$ must be $0.00008881$ .

(c)

Interpretation Introduction

Interpretation: Given scientific notation $7.73\times {10}^2$ needs to be rewritten as an ordinary decimal number.

Concept Introduction: The scientific notation is the simple way to rewrite the decimal number. It is used to write very large or very small numbers with multiplied by a power of 10.

Answer to Problem 6A

  $7.73\times {10}^2$ = $773$

Explanation of Solution

To convert the scientific notation to ordinary decimal number, start with the number left of the multiplication sign and add the decimal point right with positive exponent. Whereas the decimal point will add at the left side if there is negative exponent. Thus, the ordinary decimal number of $7.73\times {10}^2$ must be $773$ .

(d)

Interpretation Introduction

Interpretation: Given scientific notation $6.398\times {10}^{-3}$ needs to be rewritten as an ordinary decimal number.

Concept Introduction: The scientific notation is the simple way to rewrite the decimal number. It is used to write very large or very small numbers with multiplied by a power of 10.

Answer to Problem 6A

  $6.398\times {10}^{-3}$ = $0.006398$

Explanation of Solution

To convert the scientific notation to ordinary decimal number, start with the number left of the multiplication sign and add the decimal point right with positive exponent. Whereas the decimal point will add at the left side if there is negative exponent. Thus, the ordinary decimal number of $6.398\times {10}^{-3}$ must be $0.006398$ .

(e)

Interpretation Introduction

Interpretation: Given scientific notation $3.4\times {10}^6$ needs to be rewritten as an ordinary decimal number.

Concept Introduction: The scientific notation is the simple way to rewrite the decimal number. It is used to write very large or very small numbers with multiplied by a power of 10.

Answer to Problem 6A

  $3.4\times {10}^6$ = $3400000$

Explanation of Solution

To convert the scientific notation to ordinary decimal number, start with the number left of the multiplication sign and add the decimal point right with positive exponent. Whereas the decimal point will add at the left side if there is negative exponent. Thus, the ordinary decimal number of $3.4\times {10}^6$ must be $3400000$ .

(f)

Interpretation Introduction

Interpretation: Given scientific notation $4.74\times {10}^1$ needs to be rewritten as an ordinary decimal number.

Concept Introduction: The scientific notation is the simple way to rewrite the decimal number. It is used to write very large or very small numbers with multiplied by a power of 10.

Answer to Problem 6A

  $4.74\times {10}^1$ = $47.4$

Explanation of Solution

To convert the scientific notation to ordinary decimal number, start with the number left of the multiplication sign and add the decimal point right with positive exponent. Whereas the decimal point will add at the left side if there is negative exponent. Thus, the ordinary decimal number of $4.74\times {10}^1$ must be $47.4$ .