Kilogram is a unit used to measure mass. In this chapter we will discuss about the standard unit of mass called ‘Kilogram’ and find the relation between kilogram and many units like grams, milligrams, pounds, ounces and tons. Learn more about kilograms in this unit! Show
What Is a Kilogram?The standard unit of measurement defined by the International System of Units (SI) to measure mass is called Kilogram. It is represented by the symbol ‘kg’. It is the metric unit to measure the mass of an object and is the standard unit of mass used across the world. The word 'kilo' is derived from a greek word 'kiló' which means 'thousand' ; and the word 'gram' is from a latin word 'gramma' which means 'a small weight'. Kilogram is commonly referred to as 'kilo' and represented as 'kg'. Mass and weight are different quantities of measurement. While mass is measured in 'kg', weight is measured in 'Newton'. Kilogram is the next higher unit to grams.It is used to measure medium to high weighing objects. Kilogram is used to weigh body weight, vegetables, fruits and is denoted by the symbol ‘kg’, where ‘k’ stands for kilo and ‘g’ stands for gram.There are so many objects around us that are of different weights and masses. To measure the mass of any object there are some common units in the metric system of measurement. To know more about metric conversion click here. Kilogram to GramsA gram is also a unit of mass defined by the international system of units(SI). It is one thousandth of a kilogram. It is denoted by the symbol ‘g’ and is used to measure light weighted objects like a pen or a chocolate bar. Hence, the relation between kilogram and grams is given as, 1 kilogram (Kg) = 1000 grams (g). Kilogram to MilligramsAs 1 gram (g) is equal to 1000 milligrams (mg), hence the relation between kilogram and milligrams is given as, 1 kilogram (kg) = 1000000 milligrams (mg).  We can convert kilogram into USCS units: pounds, ounces and tons using the below given relations. Kilogram to PoundsThe relation between kilogram and pounds is given as, 1 kilogram (kg) = 2.2 pounds (lb). Kilogram to OuncesThe relation between kilogram and ounces is, 1 kilogram (kg) = 35.274 ounces (oz) as 1 pound is equal to 16 ounces. Kilogram to TonsTon is the heaviest unit to measure mass and is denoted by the symbol 't'. It is used to measure high weighing objects like machines, cars, and trucks with heavy loads. The relation between kilogram and tons is given as, 1 kilogram (kg) = 0.0011 ton(t). Now that we learnt to convert kilograms to grams, milligrams, pounds, ounces and ton, let us try these units into kilograms. Topics Related to KilogramTips to Remember
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One kilogram is equal to 2.2 pounds. We can use the similar relation to convert 3 kgs to pounds. How Many Grams are There in a Kilogram?There are 1000 grams in a kilogram. Similarly it possible to find number of grams in 10 kgs too. How Do You Convert Kilogram to Tons?We can convert kilogram to ton by multiplying the given value by 0.0011. We can convert 6 kgs to tons by multiplying 6 by 0.0011. How Many Ounces are There in a Kilogram?There are 35.274 ounces in a kilogram. Thus, we can find the ounces in 5 kgs also by multiplying it by 35.274 ounces. How Many Kilograms are there in a Ton ?There are 1000 kilograms in a ton. Similarly we use this relation to find number of kilograms in 2 tons. How Many Kilogram are There in a Milligram?There are \(\dfrac{1}{1000000}\) kilogram in a milligram. In order to find kilograms in 4 mgs, we can use the same relation too. How to Convert Pounds to Kilogram?We can convert pounds to kilogram by multiplying the given value by 0.4535. Thus, we can convert 9 pounds to kilograms by multiplying it by 0.4535.
Balance the Weight : Page No 105:
Answer: We know 1 kg = 1000 g Thus, 2 kg = 2 ×1000 g = 2000 g Following are the different ways in which we can make the two weights equal. 1) 1 kg + 500 g + 500 g = 2000 g 2) 1 kg + 500 g + 250 g + 250 g = 2000 g 3) 1 kg + 500 g + 250 g + 200 g + 50 g = 2000 g 4) 1 kg + 500 g + 200 g + 200 g + 100 g = 2000 g 5) 1 kg + 250 g + 250 g + 250 g + 200 g + 50 g = 2000 g We can make five different combinations to get 2 kg weight.
Disclaimer: The answer may vary from student to student. The answer provided here is for reference only. Page 2
Question 2:
In how many different ways can you balance this weight of 3/4 kg?
Answer: We know 1 kg = 1000 g Thus, 1/4 kg = 1000÷4=250 g 3/4kg = 250 g×3=750 gFollowing are the different ways in which we can balance the weight of 3/4 kg: 1) 500 g + 200 g + 50 g = 750 g 2) 250 g + 250 g + 250 g = 750 g 3) 250 g + 250 g + 200 g + 50 g = 750 g Page 3
Practice Time Page No 106: Question 1: • There are 60 mangoes. 1/2 of them are ripe. How many mangoes are ripe? • There are 32 children. 1/2 of them are girls. How many children are boys? • There are 20 stars. A quarter of them are red. How many stars are red? How many are not red? • Ravi wants a pencil. It costs Rs 2. He gives a one-rupee coin, one half-rupee coin and one quarter-rupee coin. Is it enough? Answer: • Total mangoes = 60 1/2 of them are ripe. Number of ripe mangoes = 60 ÷ 2 = 30 30 out of 60 mangoes are ripe. • Total children = 32 1/2 of them are girls. So, 1/2 of them are boys. Number of boys = 32 ÷ 2 = 16 16 out of 32 children are boys. • Total stars = 20 Quarter of them are red, which means 1/4 of them are red. Number of stars that are red = 20 ÷ 4 = 5 5 out of 20 stars are red. Number of stars that are not red = 20 − 5 = 15 • Cost of a pencil = Rs 2 Money given by Ravi = Rs (1 + 0.50 + 0.25) = Rs 1.75 But, the pencil is for Rs 2. Money required = Rs (2.00 − 1.75) = Rs 0.25 Ravi did not give enough money to buy the pencil. Rs 0.25 more is required to buy the pencil. Page 4
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Page No 109: Question 1: Yamini has used her blocks to make a few patterns. Help her to take these patterns forward.
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Question 2:
We can also make patterns with numbers and letters. Below are a few examples. Can you take them forward?
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Question 3:
Now write your own number patterns.
Answer:
Page No 110: Question 1: Make a pattern without numbers.
Answer:
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Question 2:
Now you try writing the letters — A, B, C in the box so that no letter comes twice in any line.
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Page No 111: Question 1: Now you fill these stars. Use numbers 1 – 9 and the rule that the numbers on each line add up to 15.
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Page No 112: Question 1: Now use numbers 1 – 6 to make your own magic triangle. Rule: Numbers on each side must add up to 10.
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Page No 113: Question 2: Now you write any number and the three numbers after that. Make a pattern using the rule. See if you get the same sum.
Answer:
Question 1:
Using the same rule, complete these number towers.
Answer:
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Page No 114: Question 1: Now, you try to make such a pattern with 5 numbers in order.
Does the sum grow by 5 each time?
Answer: Page 13
Question 2:
Teenu wants to write to his friend ‘Good Morning’. What will he write by using the same rule? Answer: G = 7; O = 15; O = 15; D = 4 M = 13; O = 15; R = 18, N = 14, I = 9, N = 14; G = 7 Thus, ‘Good Morning’ is written as
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Page No 116: Question 1: • What was Kahuli’s secret message? _ _ _ • What did Shablu and Jaggu write? _ _ _ • Use the same rule to write — ‘Meet me on the moon’. _ _ __ • Make different rules and ask your friends to crack the secret message. Answer: • We are friends. • Shablu wrote 2 messages, which are given below: In her left hand, she held a paper in which following message was written. Hello! how are you? In her right hand, she held a paper in which following message was written. Will you play with me? Jaggu also wrote 2 messages, which are given below: In his left hand, he held a newspaper in which the following message was written. Fine, thank you. In his right hand, he held a newspaper in which the following message was written. Yes! • NFFU NF PO UIF NPPO. Page 15
Page No 117: Question 1: Now, Anisha is playing with this card. Draw what it will look like when upside down.
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Page No 118: Question 1: Now, you cover this floor with this tile.
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Question 3:
Complete this tiling pattern.
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Page No 119: Question 1: Ramaiya has made a wall with his blocks. Can you complete this for him?
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Question 2:
Renu began to paint this wall. Now you help her to complete it.
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Jars in the Shelf : Page No 121: Question 1: Bheema made a shelf for 30 jars. This is a long shelf with two rows. Each row has the same number of jars. Question 1.1: Can you think of other ways to make a shelf to keep 30 jars?
Answer: Yes, we can make a shelf with 3 rows to keep 30 jars. Total number of jars = 30 Number of rows = 3 Number of jars in each row = 30 ÷ 3 = 10 There are 10 jars in each row of the shelf.
Question 1.2: Draw a shelf. Show how many jars you will keep in each row. How many rows are there? Have your friends drawn it in different ways? Answer : Page 21
Page No 122: Question 1: Help Bunty to make the table of 7, using tables of 4 and 3.
Answer : Page 22
Page No 123:
Answer: Number of legs of 1 cat = 1 × 4 = 4 Number of legs of 2 cats = 2 × 4 = 8 Number of legs of 3 cats = 3 × 4 = 12 Continuing in the same manner, we can easily fill the given table.
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Question 3: Leela has not gone to school for 21 days. For how many weeks was she away from school? Answer: Number of days in one week = 7 Leela has not gone to school for 21 days. Number of week in 7 days = 1 Number of weeks in 21 days = 21 ÷ 7 = 3 Working: Thus, Leela was away from school for 3 weeks. Page 24
Page No 124: Question 1: A frog jumps 3 steps at a time starting from 0. • Count the jumps he takes to reach 27. So, he has taken 27 ÷ 3 = _ _ _ jumps.
• He needs _ _ _ jumps to reach 55. Answer: • Number of jumps taken by the frog to cover 3 steps = 1 Number of jumps taken by the frog to cover 27 steps = 27 ÷ 3 = 9 So, he has taken 27 ÷ 3 = 9 jumps. • Number of jumps taken by the frog to cover 3 steps = 1 Number of jumps taken by the frog to cover 36 steps = 36 ÷ 3 = 12 He has taken 12 jumps, if he is at 36. • Number of jumps taken by the frog to cover 3 steps = 1 Number of jumps taken by the frog to cover 42 steps = 42 ÷ 3 = 14 If he is at 42, he has taken 14 jumps. • Number of jumps taken by the rabbit to cover 5 steps = 1 Number of jumps taken by the frog to cover 25 steps = 25 ÷ 5 = 5 Thus, the rabbit will reach 25 in 5 jumps. • Number of steps covered in 1 jump = 5 Number of steps covered in 8 jumps = 5 × 8 = 40 He reaches 40 after taking 8 jumps. • Number of jumps taken by the rabbit to cover 5 steps = 1 Number of jumps taken by the frog to cover 55 steps = 55 ÷ 5 = 11 He needs 11 jumps to reach 55. Page 25
Question 2: Practice Time (1) 28 ÷ 2 = (2) 56 ÷ 7 = (3) 48 ÷ 4 = (4) 66 ÷ 6 = (5) 96 ÷ 8 = (6) 110 ÷ 10 =
Answer: (4) Page 26
Page No 125: Question 1: He took 28 shells for one necklace. 112 − 28 = 84 Now he was left with 84 shells. Again he took 28 more shells for the second necklace. • How many shells are left now? _ _ _ Then he took shells for the third necklace. • So he was left with _ _ _ shells. • How many necklaces can Dhruv make from 112 shells? _ _ _ • Are the shells enough for making necklaces for all his friends? _ _ _ Answer: • After making the first necklace, Dhruv was left with 84 shells. Number of shells used for the second necklace = 28 Number of shells left with Dhruv = 84 − 28 = 56 Working: 84-2856Thus, Dhruv was left with 56 shells after making the second necklace. • Dhruv took 28 more shells for making the third necklace. Number of shells left with Dhruv after making third necklace = 56 − 28 = 28 • Dhruv made a necklace of 28 shells for each of his three friends. After making the necklaces for his friends, he was left with 28 shells. So, he could make one more necklace with the remaining shells. Thus, Dhruv could make a total of 4 necklaces with 112 shells. • Yes, the number of shells were enough for making necklaces for all the friends. After making 3 necklaces for his friends, 28 shells were still left with Dhruv. |
How much weight of cake 1 was consumed by golu a 250g b 500g c 1kg d one and half kg
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