Chapter 2.2, Problem 13PP

Interpretation Introduction

(a)

Interpretation:

The scientific notation for the addition of subtraction of the given equations is to be expressed.

Concept introduction:

The form of expressing too big or too small numbers into a convenient decimal form is known as Scientific notation.

Answer to Problem 13PP

$(5\times {10}^{-5})+(2\times {10}^{-5})=7\times {10}^{-5}$

Explanation of Solution

Scientific notation is used to express any number as a number between 1 and 10 that is known as coefficient and is multiplied by 10 raised to a power that is known as exponent.

Scientific notation for the addition is: $(5\times {10}^{-5})+(2\times {10}^{-5})=7\times {10}^{-5}$

(b)

Interpretation Introduction

Interpretation:

The scientific notation for the addition of subtraction of the given equations is to be expressed.

Concept introduction:

The form of expressing too big or too small numbers into a convenient decimal form is known as Scientific notation.

Answer to Problem 13PP

$(7\times {10}^8)-(4\times {10}^8)=3\times {10}^8$

Explanation of Solution

Scientific notation is used to express any number as a number between 1 and 10 that is known as coefficient and is multiplied by 10 raised to a power that is known as exponent.

Scientific notation for the subtraction is: $(7\times {10}^8)-(4\times {10}^8)=3\times {10}^8$

(c)

Interpretation Introduction

Interpretation:

The scientific notation for the addition of subtraction of the given equations is to be expressed.

Concept introduction:

The way of expressing too big or too small numbers into a convenient decimal form is known as Scientific notation.

Answer to Problem 13PP

$(9\times {10}^2)-(7\times {10}^2)=2\times {10}^2$

Explanation of Solution

Scientific notation is used to express any number as a number between 1 and 10 that is known as coefficient and is multiplied by 10 raised to a power that is known as exponent.

Scientific notation for the subtraction is: $(9\times {10}^2)-(7\times {10}^2)=2\times {10}^2$

(d)

Interpretation Introduction

Interpretation:

The scientific notation for the addition of subtraction of the given equations is to be expressed.

Concept introduction:

The way of expressing too big or too small numbers into a convenient decimal form is known as Scientific notation.

Answer to Problem 13PP

$(4\times {10}^{-12})+(1\times {10}^{-12})=5\times {10}^{-12}$

Explanation of Solution

Scientific notation is used to express any number as a number between 1 and 10 that is known as coefficient and is multiplied by 10 raised to a power that is known as exponent.

Scientific notation for the given addition is: $(4\times {10}^{-12})+(1\times {10}^{-12})=5\times {10}^{-12}$