NCERT Solutions for Class 4 Maths Chapter 1 - Building With Bricks

Missing Question 1: Which pattern do you like the most?

Ans:

We can make as many brick patterns as shown in the picture. 

I would like the bricks which will make the shape of a dome which is in the pattern $5$.

Missing Question 2: Have you seen these patterns anywhere?

Ans:

Yes. I have seen these patterns.

Once I went to an old mosque. I have seen these brick patterns there.

Question 1:

Which Pattern is made in a circle?

Ans:

By observing the above given patterns, I observe that pattern J is made in a circle.

In which pattern can you show mirror halves?

Ans:

Mirror halves objects are those in which the objects are the same in both sides of the symmetry line. 

Hence draw the symmetry line through the center of the object and see if we obtain mirror halves.

Hence the mirror halves can be shown in $5$patterns. They are $\text{A, B, H, I, J}$.

The line can be drawn to show the mirror halves as shown below:

Question 2:

How many faces does a brick have?

Ans:

Generally the brick will be in the shape of a cuboid. So every brick has $6$ faces.

Is any face a square?

Ans:

We know that the brick is of cuboid shape.

The cuboid is formed of six rectangular faces.

So there is no square face in cuboid.

Draw the smallest face of the brick.

Ans:

The smallest side of the brick is the side with a breadth and height and it can be drawn as follows:

Question 3:

Which are the faces of a brick? Mark a $\left(  \right)$.

Ans:

A brick is of the shape of a cuboid of cube. 

Thus the shape of the brick consists of a rectangle and square. 

So insert the $\left(  \right)$ symbol in the shape of rectangle and square.

These are the shapes of squares and rectangles which can make the faces of bricks.

Question 4:

Which of these is a drawing of a brick? Mark a ($$).

Ans:

The brick is in the shape of a cuboid. 

So from the diagram, the shape of the cuboid is found.

Hence the shape of the cuboid has been ticked.

Question 5:

Make a drawing of this box to show three of its faces.

Ans:

To draw the box with three faces, just flip the box and we obtain the box with three faces.

Hence this box diagram with three faces has been drawn.

Question 6:

Can you make a drawing of a brick which shows $4$ of its faces?

Ans:

The brick is a 3D shape of cuboid.

And so it is impossible to show the $4$ faces of the brick in a sheet of paper.

Missing Question 3:

What do you think? Which wall will be stronger?

Ans:

Zainab did not interlock the brick pattern. 

But Muniya places her bricks in an interlocking pattern. 

So the walls of Muniya will be stronger since her bricks are tightly packed with each other.

Question 7:

Different Wall patterns:

Here are photos of three kinds of brick walls. Can you see the difference in the way the bricks are placed?

Ans:

Observe the patterns.

The brick in the first picture has one brick horizontally placed between the two vertical placed bricks.

The bricks in the third picture are more tightly packed than that of bricks in the second picture.

Now match the photo of each wall with the correct drawing below:

Ans:

As described in the above question, match the bricks with the interlocking patterns in the patterns given in this question.

Hence the bricks have been matched with its pattern.

Question 8:

How many different ‘jaali’ patterns can you see in these two photos?

Ans:

The above building seems to have five different ‘Jaali’ patterns.

The pillar is made of one pattern. 

The walls of building made of one pattern, 

The upper layer of the balcony is made of one pattern.

The balcony layer with designs made of one pattern.

And the above floor with design on both sides made of one pattern.

So five patterns of “Jaali” are there in the above building.

Question 9:

Now color some bricks red and make your own ‘jaali’ patterns in the wall drawn below.

Ans:

To make our own ‘jaali’ pattern, we can choose any side of the above given ‘jaali’ pattern.

Our ‘jaali’ pattern is made in the center with some designs on the wall.

Question 10:

Now draw some jharokha patterns on the wall here. You can shade it black.

Ans:

The Jharoka is a stone window that is projecting from the wall of the building.

To draw the jharokha pattern and shade them in black:

Hence the wall with jharokha pattern has been drawn.

Question 11:

Where else have you see an arch?----------------------------------

Ans:

An arch is a typically curved structure that will function as an opening and provide structural support.

It can be seen in many places.

But I have seen the arch in the bridges, the rainbow and so on.

Question 12:

Which of these bricks have curved edges?

Ans:

Curved edges refer to the edges that are rounded in the edges.

So observe the rounded edge of the bricks from the diagram.

The bricks in the left corner have the curved edge and the image of that brick is given:

How many do you see of the longest brick?

Ans:

The longest brick is in the front side.

Only two of six faces are observed by me.

Thus only two faces of the longest brick are seen.

Is there any brick which has more than six faces?

Ans:

Generally bricks are of cuboid shape and consist of only six faces. 

So bricks cannot have more than six faces.

Question 13:

Take one brick and measure it.

(a) How long is it? ---------------------------

Ans:

Take a brick.

Measure the length of the brick with the ruler.

The length of the brick is about $\text{20 cm}$.

(b) How wide is it?

Ans:

Take a brick.

Measure the width of the brick with the ruler.

The width of the brick is about $\text{8 cm}$.

(c) How high is it?

Ans:

Take a brick.

Measure the height of the brick with the ruler.

The height of the brick is about $\text{1 cm}$.

Question 14:

Muniya wants to make a wall $1$ meter long. How many bricks will she need to put in a line?

Ans:

Consider the length of the brick to be $\text{20 cm}$

Muniya needs to build a wall of $\text{1 m}$

We know that $\text{1 m=100 cm}$

We need $n$ number of bricks of $\text{20 cm}$ to build a $\text{100 cm}$ wall.

Thus, $20n=100$

              $n=\frac{100}{20}$

              $n=5$

Hence $5$ bricks are required to build a wall of $\text{1m}$in a line.

Question 15:

Can you guess how high the chimney is here? Is it: 

(a) about 5 meters

(b) about $15$ meters

(c) about $50$ meters

Ans:

We know that the length of the brick is about $20\text{ cm}$.

From the height of the chimney, we know that the height of the chimney is very high.

So we can conclude that the chimney is about $50$ meters tall.

Question 16:

Here are four pictures from the brick kiln. These pictures are jumbled up. Look at them carefully. Write the correct order.

Ans:

The bricks are made from the following process,

• Collecting the mud

• Made mud into small parts.

• Separate the mud leaving some spaces between them.

• Finally arranging them one above the other.

The order given above follows.

Thus the correct sequence of the picture form brick is $\text{C, D, B, A}$

Question 17:

Mental Math: Bhajan buys Bricks. Bhajan went to buy bricks. The price was given for one thousand bricks. The prices were also different for different types of bricks.

Bhajan decided to buy the new bricks from Brickabad. He bought three thousand bricks. How much did he pay?

Ans:

Since Bhajan decided to buy bricks from Brickabad, 

Cost of one thousand bricks $=Rs.2000$

Cost of $3$thousand bricks $=3\times 2000$

$=Rs.6000$

The cost of three thousand bricks from Brickabad is $Rs.6000$

Guess what he will pay if he buys $500$ bricks.

Ans:

Bhajan buys $500$ old bricks in this case.

Cost of $1000$bricks $=Rs.1200$

Cost of $500$ bricks $=\frac{1200}{2}$

$=Rs.600$

Thus the cost of $500$ old bricks is $Rs.600$.

NCERT Solutions for Class 4 Maths Chapter 1 Building With Bricks

Class 4 Maths Chapter 1 - Building With Bricks

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Representation of Large Numbers

The numbers that are significantly larger than those typically used in our everyday life are large. Large numbers are usually used for instance in simple counting or monetary transactions. The term large number typically refers to large positive integers. It also more generally refers to large positive real numbers but it may also be used in other contexts.

The very large numbers occur in the fields such as mathematics, cryptography, and statistical mechanics as well as in cosmology. Sometimes people also refer to numbers as being ‘astronomically large’. Although it is very easy to mathematically define the numbers that are much larger even than those used in astronomy.

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Uses of Large Numbers

A scientific was created to handle the wide range of the values that occur in scientific study.

For example, 1.0 x 109 means one billion because 1 is followed by nine zeros to see how large the number is.

Examples of Large Numbers

The number of cells in a human body is estimated at 3.72 x 1013.

1. The number of bits on a computer hard disk as of 2020 typically is about 1013, 1-2 TB.

2. The number of neuronal connections in the human brain is estimated at 1014.

3. The mass of the earth consists of about 4 x 1051 nucleons.

4. The total number of DNA base pairs within the entire biomass on the earth. As a possible approximation of the global biodiversity, it is estimated at (5.3 +3.6) x 1037.

5. The number of atoms in the observable universe is estimated as 1080.

6. The lower bound on the game tree complexity of chess which is also known as Shannon Number is estimated at around 10120.

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Forming Numbers

In the formation of the numbers with the given digits, we all might say that a particular number is an arranged group of digits. Numbers can be formed with or without the repetition of the digits. Let us look into the examples that are formed without the repetition of digits.

1. With the digits 2 and 6, the numbers formed are 26 as well as 62.

2. With the digits 5 and 9, the numbers formed are 59 and also 95.

3. With the digits 9 and 4, the numbers formed are 94 and 49.

But with the digits 0 and 5, only one number that is 50 can be formed. The number 05 is not a two-digit number.

Similarly, three digits numbers are also formed without the repetition of a single number.

For Example,

1. The numbers 2, 3, 4 can form six numbers 234, 243, 342, 423, 432 of three digits.

2. The numbers 4, 6, 9 can form six numbers like 469, 496, 649, 694, 946, 964 of three digits.

3. The numbers 3, 7, 8 can form six numbers like 378, 387, 738, 837, 873 of three digits.

But the numbers 0, 1, and 5 can only form 4 numbers of three digits are 105, 150, 501, 510.

Some more examples of four-digit numbers without the repetition of a number.

The numbers 1, 2, 3, 4 can form four digit numbers like 1234, 1243, 1324, 1423, 1432, 2134, 2143, 2314, 2341, 2413, 2431, 3124, 3142, 3421, 3412, 3214, 3241, 4123, 4132, 4213, 4231, 4312, 4321.

We can observe that when the numbers of the digits are increased more and more numbers are formed. We are very much familiar with the formation of numbers with two or three digits. We also should know that, the procedure of forming the greatest as well as the smallest numbers having definite digits.

The Place Value and Phase Value of Numbers

What Is a Face Value?

The face value of any number can be the representation as to the value of the digit itself. For example, the face value of the digit 3 in the number 356 is 3 itself. The face value of the digit 7 in the number 765 if 7 itself. The face value of the digit 6 in the number 689 is 6 itself.

What Is The Place Value?

The place value always represents the position of a digit in a number. For example, the place value of the digit 7 in the number 765 is hundredth that is 7 x 100 = 700th. The place value of the digit 6 in the number 678 is hundredth that is 6 x100 = 600th.

What Is The Difference Between Place Value and Face Value?

The major difference between place value as well as face value is that the place value deals with the position of the digit and the face value represents the actual value of a digit. The number system is available and is very crucial for characterizing the digits into the groups of tens, hundreds, and also even thousands.

You must first understand the key differences that separate the place value from the face value. In the place value, the number system begins from 0 to the tens, hundreds, thousands, and so on. Place value is defined as the digit multiplied wherever it is placed, it can be either by hundreds or by the thousands. Whereas the face value is simply defined as the digit itself within a number.

The place value of 0 is 0. The face value of 0 is also 0. The place value of a digit should be multiplied by the digit value of the position where it is located. On the other hand, the face value of a digit always remains the same and that too irrespective of the position where it is located.

For Example, the place value as well the face value for every digit 4657

• The face value of 7 is 7.

The place value of the number 7 is also 7.

• The face value of 5 is 5.

The place value of 5 is 50.

• The face value of 6 is 6.

The place value 6 is 600.

• The face value of 4 is 4.

The place value of 4 is 4000.

Expanded Form Of a Number

The expanded form of a number shows the expanded forms of a number including expanded notation form, expanded factor form, expanded exponential form as well as word form.

Expanded form or the expanded notation is a way of writing numbers to see the math value of individual digits. When the numbers are separated into individual place values and decimal places then they can also form a mathematical expression. The number 5,325 in the expanded notation form is 5,000 + 300 + 20 + 5 = 5325.

One can also write numbers using the expanded form in multiple ways. For Example, the number 5,325 can be written as 5325 in the standard form. The expanded form of the number 5325 is 5000 + 300 + 20 + 5 = 5325. The Expanded factors form of the number 5325 is

(5 x 1000) + (3 x 100) + (2 x 10) + (5 x 1) = 5325 

The Expanded Exponential form of the number 5325 is (5 x 103) + (3 x 102) + (2 x 101) + (5 x 100) = 5325.

The word form of the number 5325 is Five thousand three hundred and twenty-five.

The phrase ‘standard form’ refers to the scientific number notation in England and Great Britain that the US calls ‘scientific notation’. The standard form in Great Britain and the scientific notation in the USA mean essentially the same thing when referring to the notation used in the representation of the very large or very small numbers such as 4.959 x 1012 or 1.66 x 10-24.

Successor And Predecessor Of Numbers

Predecessors are the numbers that come just before a number. On the other hand, the number that comes immediately after a particular number is called its successor. The predecessor of a given number is always less than the given number. On the other hand, the successor of a given number is one more than the given number.

The successor of a whole number is the number obtained by adding 1 to the number. The successor of 0 is 1, the successor of 1 is 2, the successor of 2 is 3, the successor of 3 is 4, and so on. Every number has a successor as we can add 1 to any number. We can also observe that every whole number has its successor.

The number which comes just before a particular number is called the predecessor of it. The predecessor of a whole number is one less than it. Clearly, the predecessor of 1 is 0, the predecessor of 2 is 1, the predecessor of 3 is always 2, and so on. The whole number 0 does not have a predecessor. We can also observe that every whole number except the number 0 has its predecessor. Also, if suppose ‘a’ is the successor of ‘b’, then ‘b’ is the predecessor of ‘a’.

Examples to find the successor and the predecessor of a particular number.

1. The successor of 1000 is 1000 + 1 = 1001 whereas the predecessor of 1000 is 1000 - 1 = 999.

2. The successor of 11999 is 11999 + 1 = 12000 whereas the predecessor of 11999 is 11999 - 1 = 11998.

3. The successor of 400099 + 1 = 400099 whereas the predecessor of 400099 is 400099 - 1 = 400100.

4. The successor of 1000001 is 1000001 + 1 = 1000002 whereas the predecessor of 1000001 is 1000001 - 1 = 1000000.

5. The successor of 999 is 999 + 1 = 1000 whereas the predecessor of 999 is 999 - 1 = 998.

To find the predecessor of a number one should subtract by 1 to get the predecessor of that number. On the other hand to find the successor of a number one must add 1 to the given number to find the successor.

Compare and Order Numbers

When children first learn to count they also learn the number sequence usually up to ten, but without an understanding of what the numbers mean. Next, they learn to count objects and the numbers of the things that are in front of them and then learn 1:1 correspondence when counting. During this stage the kids are learning the number sequence and that the numbers continue past 10. They learn how to count up to the higher numbers like 20 or 30. And eventually, they learn to count up to 100 and that numbers up to 100 can be split up into tens and ones.

When comparing numbers, it is very crucial to know the value of the most significant digit in each of the numbers. This will also tell you how large each number can be.

The most significant digit is the first non-zero digit the number contains. The number with the largest value, most significant digit will be bigger unless it is a negative number.

In the number 3458, the most significant digit is 3 which has a value of 3000. In the number 56.47, the most significant digit is 5 which has the value 50. In the number 0.0825, the most significant digit is 8 which has a value of 0.08. Now, if the two numbers are both positive integers that are whole numbers then looking at the number of the digits the number has will show you which is bigger. We often use the symbols like <> and also = while comparing two numbers.

While comparing the numbers up to 100 you need to look at the value of the ten digits unless the number is 100. The number with the larger tens digit will be bigger as the tens digit will be the most significant. The only exception is if either of the numbers is negative. Look at the comparing negative number section. If the numbers have the same ten digits then one needs to look at the one’s digit and also see which one is more.

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Chapter wise NCERT Solutions for Class 4 Maths

• Chapter 2 Long and Short

• Chapter 3 A Trip To Bhopal

• Chapter 4 Tick Tick Tick

• Chapter 5 The Way The World Looks

• Chapter 6 The Junk Seller

• Chapter 7 Jugs and Mugs

• Chapter 8 Carts and Wheels

• Chapter 9 Halves and Quarters

• Chapter 10 Play With Patterns

• Chapter 11 Tables and Shares

• Chapter 12 How Heavy? How Light?

• Chapter 13 Fields and Fences

• Chapter 14 Smart Charts