# 5.2 Decimal operations  (Page 5/7)

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Divide: $-2.89÷\text{(}3.4\text{)}.$

## Solution

 Determine the sign of the quotient. The quotient will be negative. Make the divisor the whole number by 'moving' the decimal point all the way to the right. 'Move' the decimal point in the dividend the same number of places to the right. Divide. Place the decimal point in the quotient above the decimal point in the dividend. Add zeros as needed until the remainder is zero. Write the quotient with the appropriate sign. $-2.89÷\left(3.4\right)=-0.85$

Divide: $-1.989÷5.1.$

−0.39

Divide: $-2.04÷5.1.$

−0.4

Divide: $-25.65÷\text{(}-0.06\text{).}$

## Solution

 $-25.65÷\left(-0.06\right)$ The signs are the same. The quotient is positive. Make the divisor a whole number by 'moving' the decimal point all the way to the right. 'Move' the decimal point in the dividend the same number of places. Divide. Place the decimal point in the quotient above the decimal point in the dividend. Write the quotient with the appropriate sign. $-25.65÷\left(-0.06\right)=427.5$

Divide: $-23.492÷\left(-0.04\right)\text{.}$

587.3

Divide: $-4.11÷\left(-0.12\right)\text{.}$

34.25

Now we will divide a whole number by a decimal number.

Divide: $4÷0.05.$

## Solution

 $4÷0.05$ The signs are the same. The quotient is positive. Make the divisor a whole number by 'moving' the decimal point all the way to the right. Move the decimal point in the dividend the same number of places, adding zeros as needed. Divide. Place the decimal point in the quotient above the decimal point in the dividend. Write the quotient with the appropriate sign. $4÷0.05=80$

We can relate this example to money. How many nickels are there in four dollars? Because $4÷0.05=80,$ there are $80$ nickels in $\text{4}.$

Divide: $6÷0.03.$

200

Divide: $7÷0.02.$

350

## Use decimals in money applications

We often apply decimals in real life, and most of the applications involving money. The Strategy for Applications we used in The Language of Algebra gives us a plan to follow to help find the answer. Take a moment to review that strategy now.

## Strategy for applications

1. Identify what you are asked to find.
2. Write a phrase that gives the information to find it.
3. Translate the phrase to an expression.
4. Simplify the expression.
5. Answer the question with a complete sentence.

Paul received $\text{50}$ for his birthday. He spent $\text{31.64}$ on a video game. How much of Paul’s birthday money was left?

## Solution

 What are you asked to find? How much did Paul have left? Write a phrase. $50 less$31.64 Translate. $50-31.64$ Simplify. 18.36 Write a sentence. Paul has $18.36 left. Nicole earned $\text{35}$ for babysitting her cousins, then went to the bookstore and spent $\text{18.48}$ on books and coffee. How much of her babysitting money was left?$16.52

Amber bought a pair of shoes for $\text{24.75}$ and a purse for $\text{36.90}.$ The sales tax was $\text{4.32}.$ How much did Amber spend?

$65.97 Jessie put $8$ gallons of gas in her car. One gallon of gas costs $\text{3.529}.$ How much does Jessie owe for the gas? (Round the answer to the nearest cent.) ## Solution  What are you asked to find? How much did Jessie owe for all the gas? Write a phrase. 8 times the cost of one gallon of gas Translate. $8\left(3.529\right)$ Simplify.$28.232 Round to the nearest cent. $28.23 Write a sentence. Jessie owes$28.23 for her gas purchase.

Hector put $13$ gallons of gas into his car. One gallon of gas costs $\text{3.175}.$ How much did Hector owe for the gas. Round to the nearest cent.

$41.28 #### Questions & Answers where we get a research paper on Nano chemistry....? Maira Reply what are the products of Nano chemistry? Maira Reply There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others.. learn Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level learn Google da no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts Bhagvanji Preparation and Applications of Nanomaterial for Drug Delivery Hafiz Reply revolt da Application of nanotechnology in medicine what is variations in raman spectra for nanomaterials Jyoti Reply I only see partial conversation and what's the question here! Crow Reply what about nanotechnology for water purification RAW Reply please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment. Damian yes that's correct Professor I think Professor Nasa has use it in the 60's, copper as water purification in the moon travel. Alexandre nanocopper obvius Alexandre what is the stm Brian Reply is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.? Rafiq industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong Damian How we are making nano material? LITNING Reply what is a peer LITNING Reply What is meant by 'nano scale'? LITNING Reply What is STMs full form? LITNING scanning tunneling microscope Sahil how nano science is used for hydrophobicity Santosh Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq Rafiq what is differents between GO and RGO? Mahi what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq Rafiq if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION Anam analytical skills graphene is prepared to kill any type viruses . Anam Any one who tell me about Preparation and application of Nanomaterial for drug Delivery Hafiz what is Nano technology ? Bob Reply write examples of Nano molecule? Bob The nanotechnology is as new science, to scale nanometric brayan nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale Damian Is there any normative that regulates the use of silver nanoparticles? Damian Reply what king of growth are you checking .? Renato What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ? Stoney Reply why we need to study biomolecules, molecular biology in nanotechnology? Adin Reply ? Kyle yes I'm doing my masters in nanotechnology, we are being studying all these domains as well.. Adin why? Adin what school? Kyle biomolecules are e building blocks of every organics and inorganic materials. Joe how did you get the value of 2000N.What calculations are needed to arrive at it Smarajit Reply Privacy Information Security Software Version 1.1a Good A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place. Kimberly Reply Jeannette has$5 and \$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
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I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
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Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?