# 1.5 Subtraction of whole numbers  (Page 3/4)

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## Sample set e

Perform this subtraction.

The number 503 contains a single zero

1. The number to the immediate left of 0 is 5. Decrease 5 by 1.

$5-1=4$

2. Draw a line through the zero and make it a 10.
3. Borrow from the 10 and proceed.

$\text{1 ten}+\text{10 ones}$

$\text{10 ones}+\text{3 ones}=\text{13 ones}$

## Practice set e

Perform each subtraction.

888

4,543

8,669

## Borrowing from a group of zeros

Consider the problem

In this case, we have a group of zeros.

Since we cannot borrow any tens or hundreds, we must borrow 1 thousand. One thousand = 10 hundreds.

We can now borrow 1 hundred from 10 hundreds. One hundred = 10 tens.

We can now borrow 1 ten from 10 tens. One ten = 10 ones.

From observations made in this procedure we can suggest the following method for borrowing from a group of zeros.

## Borrowing from a group of zeros

To borrow from a group of zeros,
1. Decrease the digit to the immediate left of the group of zeros by one.
2. Draw a line through each zero in the group and make it a 9, except the rightmost zero, make it 10.
3. Proceed to subtract as usual.

## Sample set f

Perform each subtraction.

The number 40,000 contains a group of zeros.

1. The number to the immediate left of the group is 4. Decrease 4 by 1.

$4-1=3$

2. Make each 0, except the rightmost one, 9. Make the rightmost 0 a 10.

3. Subtract as usual.

The number 8,000,006 contains a group of zeros.

1. The number to the immediate left of the group is 8. Decrease 8 by 1.

$8-1=7$

2. Make each zero, except the rightmost one, 9. Make the rightmost 0 a 10.

3. To perform the subtraction, we’ll need to borrow from the ten.

$\begin{array}{c}\text{1 ten = 10 ones}\hfill \\ \text{10 ones + 6 ones = 16 ones}\hfill \end{array}$

## Practice set f

Perform each subtraction.

16,134

4,839

15,789,940

## Calculators

In practice, calculators are used to find the difference between two whole numbers.

## Sample set g

Find the difference between 1006 and 284.

 Display Reads Type 1006 1006 Press $-$ 1006 Type 284 284 Press = 722

The difference between 1006 and 284 is 722.

(What happens if you type 284 first and then 1006? We'll study such numbers in [link] Chapter 10.)

## Practice set g

Use a calculator to find the difference between 7338 and 2809.

4,529

Use a calculator to find the difference between 31,060,001 and 8,591,774.

22,468,227

## Exercises

For the following problems, perform the subtractions. You may check each difference with a calculator.

7

6

3

$\begin{array}{c}\hfill 56\\ \hfill \underline{-12}\end{array}$

$\begin{array}{c}\hfill 74\\ \hfill \underline{-33}\end{array}$

41

$\begin{array}{c}\hfill 80\\ \hfill \underline{-61}\end{array}$

$\begin{array}{c}\hfill 350\\ \hfill \underline{-141}\end{array}$

209

$\begin{array}{c}\hfill 800\\ \hfill \underline{-650}\end{array}$

$\begin{array}{c}\hfill 35,002\\ \hfill \underline{-14,001}\end{array}$

21,001

$\begin{array}{c}\hfill 5,000,566\\ \hfill \underline{-2,441,326}\end{array}$

$\begin{array}{c}\hfill 400,605\\ \hfill \underline{-121,352}\end{array}$

279,253

77,472

$\begin{array}{c}\hfill 42\\ \hfill \underline{-18}\end{array}$

$\begin{array}{c}\hfill 51\\ \hfill \underline{-27}\end{array}$

24

188

$\begin{array}{c}\hfill 242\\ \hfill \underline{-158}\end{array}$

$\begin{array}{c}\hfill 3,422\\ \hfill \underline{-1,045}\end{array}$

2,377

$\begin{array}{c}\hfill 5,565\\ \hfill \underline{-3,985}\end{array}$

$\begin{array}{c}\hfill 42,041\\ \hfill \underline{-15,355}\end{array}$

26,686

63,143,259

8,034

$\begin{array}{c}\hfill 59\\ \hfill \underline{-26}\end{array}$

33

$\begin{array}{c}\hfill 92,526,441,820\\ \hfill \underline{-59,914,805,253}\end{array}$

32,611,636,567

$\begin{array}{c}\hfill 30,000\\ \hfill \underline{-26,062}\end{array}$

3,938

$\begin{array}{c}\hfill 600\\ \hfill \underline{-216}\end{array}$

8,273,955

For the following problems, perform each subtraction.

Subtract 63 from 92.

The word "from" means "beginning at." Thus, 63 from 92 means beginning at 92, or $\text{92}-\text{63}$ .

where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
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
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
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?
what is a peer
What is meant by 'nano scale'?
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 ?
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?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
In the number 779,844,205 how many ten millions are there?
From 1973 to 1979, in the United States, there was an increase of 166.6% of Ph.D. social scien­tists to 52,000. How many were there in 1973?
7hours 36 min - 4hours 50 min