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Sign up for wikiHow Pro and get started now. Log in Social login does not work in incognito and private browsers. Please log in with your username or email to continue. No account yet? Create an account. We use cookies to make wikiHow great. By using our site, you agree to our cookie policy. Cookie Settings. Learn why people trust wikiHow. Download Article Explore this Article parts. Related Articles. Part 1 of Look at the number in standard form.
Read the number and look at how many digits are in it. Read the number silently or out loud: five thousand, eight hundred twenty seven. Notice that there are four separate digits in this number. As a result, there will be four separate places in the expanded form of this number. Separate the digits. Rewrite the number so that each of its digits are separated by a plus sign. Leave a little room in between each digit and the plus sign that follows it.
More information will need to be included there. Identify each place value name. Each digit in your original number corresponds to a specific place value. Starting from the lowest digit, label each digit with its appropriate place value name. The smallest digit is 7, and that corresponds to the ones 1 place.
The next digit is 2, which corresponds to the tens 10 place. The third digit is 8, which sits in the hundreds place. The fourth and final digit is 5, and it sits in the thousands place. All rights reserved. This image may not be used by other entities without the express written consent of wikiHow, Inc.
Multiply each digit by its appropriate place value. Multiply each separate digit in your original number by the place value that matches where it belongs within the full, original number. Write your final answer. Once the digits have been multiplied together, you should have the final expanded form of the original number.
Part 2 of Look at the number in written form. Read the number as it is written. When a number is in this form, you should be able to identify the full value of each separate digit. Write each digit separately, attaching the appropriate place value name after it.
The correct place value will simply be the one that is already written beside the value. Include plus signs in between each written value. You can indicate your understanding by marking the place value name in parentheses, but doing so is not strictly necessary. Rewrite the written place value as a numeric place value.
Look at each separate value. Rewrite each value as it reads to the equal numeric value. Write the final answer. You should have all the information you need now to write the original written form number in expanded form. Part 3 of Read the number and count how many digits are in it, paying special attention to the digits that come after to the right of the decimal point. Read the number: five hundred thirty one and 94 hundredths. Notice that there are three digits before the decimal point and two digits after the decimal point.
There will be a total of five separate places in the expanded form of this number. Rewrite the number, separating each individual digit by a plus sign. For now, write the decimal point, too. Leave some space in between the digits and the plus signs. More information will need to be written there. Example: The number Label each digit with the place value name that matches its position in the original number.
When working after to the right of the decimal point, work from the highest number to the lowest. Example: You will need to count three places to the left and two places to the right. For the left values: The smallest number is 1, which matches the ones 1 place. The second number is 3, which matches the tens 10 place. The largest number is 5, which sits in the hundreds place.
For the right values: The largest number is 9, which sits in the tenths 10 place. The smallest number is 4, which sits in the hundredths place. Multiply the left digits by the appropriate value. All of the digits on the left side of the decimal point must be multiplied by their matching place value. A solid rectangular piece of iron measures 1. Find the weight of this piece in kilograms if 1 cm 3 of iron weighs 8 grams.
The area of a courtyard is m 2. Find the cost of covering it with gravel to a height of 1 cm if the gravel costs Rs 6. How many persons can be accommodated in a hall of length 16 m.
A cardboard box is 1. What is the volume of a packet containing matchboxes? How many such packets can be placed in a carton of size 1.
If 1 12 8th Class Ka Question Answer Math Ka It of the total volume of the wall consists of mortar, how many bricks are there in the wall? Find the capacity of a rectangular cistern in litres whose dimensions are Find the area of the iron sheet required to make the cistern. The volume of a block of gold is 0. If it is hammered into a sheet to cover an area of 1 hectare, find the thickness of the sheet. The rainfall recorded on a certain day was 5 cm.
Find the volume of water that fell on a 2-hectare field. Find the quantity of water that runs into the sea per minute. A pit 5 m long and 3. If the volume of earth taken out of it is 14 m 3 , what is the depth of the pit?
Let the depth of the pit be d m. A rectangular water tank is 90 cm wide and 40 cm deep. If it can contain litres of water, what is its length? A beam of wood is 5 m long and 36 cm thick. It is made of 1. What is the width of the beam? The volume of a room is m 3 and the area of its floor is 84 m 2.
Find the height of the room. A swimming pool is m long and m wide. If cubic metres of water is pumped into it, find the height of the water level in it. If 1 cm 3 of iron weighs 8. A box with a lid is made of wood which is 3 cm thick. Its external length, breadth and height are 56 cm, 39 cm and 30 cm respectively. Find the capacity of the box. Also find the volume of wood used to make the box. The external dimensions of a closed wooden box are 62 cm, 30 cm and 18 cm. If the box is made of 2-cm-thick wood, find the capacity of the box.
A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2. Find the capacity of the box and its weight if cm 3 of wood weighs 8 g. Find the volume, lateral surface area and the total surface area of a cube each of whose edges measures: i 7 m ii 5.
Let a be the length of the edge of the cube. The dimensions of a metal block are 2. It is melted and recast into cubes, each of side 45 cm. How many cubes are formed? If the length of each edge of a cube is doubled, how many times does its volume become?
How many times does its surface area become? Let a be the length of the edge of a cube. A solid cubical block of fine wood costs Rs at Rs per m 2. Find its volume and the length of each side. A milk tank is in the form of a cylinder whose radius is 1. Find the quantity of milk in litres that can be stored in the tank. A wooden cylindrical pole is 7 m high and its base radius is 10 cm. Find its Class 6 Maths Chapter 2 Question Answer Wr weight if the wood weighs kg per cubic metre.
Find the height of the cylinder whose volume is 1. A closed cylindrical tank of diameter 14 m and height 5 m is made from a sheet of metal. How much sheet of metal will be required? The circumference of the base of a cylinder is 88 cm and its height is 60 cm. Find the volume of the cylinder and its curved surface area. The lateral surface area of a cylinder of length 14 m is m 2.
Find the volume of the cylinder. The volume of a cylinder of height 8 cm is cm 3. Find its curved surface area and the total surface area. The radius and height of a cylinder are in the ratio 7 : 2. If the volume of the cylinder is cm 3 , find the total surface area of the cylinder. The curved surface area of a cylinder is cm 2 and the circumference of its base is cm. A particular brand of talcum powder is available in two packs, a plastic can with a square base of side 5 cm and of height 14 cm, or one with a circular base of radius 3.
Which of them has greater capacity and by how much? Find the cost of painting 15 cylindrical pillars of a building at Rs 2. A rectangular vessel 22 cm by 16 cm by 14 cm is full of water. If the total water is poured into an empty cylindrical vessel of radius 8 cm, find the height of water in the cylindrical vessel. A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 11 cm.
It is drawn out into a wire of diameter 1 mm. What will be the length of the wire so obtained? A solid cube of metal each of whose sides measures 2. Find the length of the wire so obtained. How many cubic metres of earth must be dug out to sink a well which is 20 m deep and has a diameter of 7 metres?
If the earth so dug out is spread over a rectangular plot 28 m by 11 m, what is the height of the platform so formed? A well of inner diameter 14 m is dug to a depth of 12 m. Earth taken out of it has been evenly spread all around it to a width of 7 m to form an embankment. Find the height of the embankment so formed. A road roller takes complete revolutions to move once over to level a road.
Find the area of the road if the diameter of the road roller is 84 cm and its length is 1 m. A cylinder is open at both ends and is made of 1. Its external diameter is 12 cm and height is 84 cm. What is the volume of metal used in making the cylinder? Also, find the weight of the cylinder if 1 cm 3 of the metal weighs 7.
The length of a metallic tube is 1 metre, its thickness is 1 cm and its inner diameter is 12 cm. Find the weight of the tube if the density of the metal is 7. Its total surface area is a cm 2 b 49 cm 2 c cm 2 d cm 2.
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