The Evolution of Numbers I want to take you on an adventure … … an adventure through the world of numbers. Let us start at the beginning: Q: What is the simplest idea of a number? A: Something to count with! The Counting Numbers We can use numbers to count: 1, 2, 3, 4, etc Humans have been using ….  Read More

¦   Count, Learn and Write. Cound and read the numbers below     Watch the video and learn how to write  

    LCM of Whole Numbers         Least Common Multiple – Definition, Method, Solved Examples   A multiple is the product result of one number multiplied by another number. For example, we can get the multiples of 5 by multiplying 5 with numbers 1, 2, 3, and so on. Multiples of 5 are: 5, 10, ….  Read More

                                  HCF of Whole Numbers.   HCF or Highest Common Factor is the greatest number which divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD). HCM and LCM are two different methods, where ….  Read More

      Questions and Answers to Class  Home Work , Lesson 5     Find the HCF of 36, 27 and 80 Solution: Write each number as a product of its prime factors.   22 x 32 = 36 33 = 27 24 x 5 = 80 The product of all common prime factors is the HCF The ….  Read More

         Proper and Improper Fraction.         In Maths, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions. Fractions are those terms which have numerator and denominator. Based on these two terms we define its types. Fractions are the terms used to determine ….  Read More

    Multiplying Fractions Multiplying fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. Then, the resultant fraction is simplified further and reduced to its lowest terms, if needed. Let us learn more about the multiplication of fractions, how to multiply fractions with whole numbers, how to multiply improper ….  Read More

  Jss1 Lesson 8 Assignment- Multiplying fractions   2/4x ¾= 6/16     3×2/6=   2/4x ¾= 6/16     2.3×2/6= 6/6     6/5x 7/9= 42/45 Simplify the above= 7/8                                                 ….  Read More

Ordering of Fractions     Ordering fractions with the same denominator When fractions have the same denominators, they are ordered by the size of their numerators: The fraction with the smallest numerator is the smallest fraction. The fraction with the greatest numerator is the greatest fraction. Fractions can be arranged in ascending or descending order. Ascending order starts with the smallest value and ascends to the ….  Read More

    Answer to Lesson 10 Home Work   Ned jogged for one-third of an mile, Moze jogged for one-half of a mile, and Cookie jogged for one-fifth of a mile. Order these distances from least to greatest. Analysis:  Since these fractions have like numerators, we will compare the denominators two at a time. The ….  Read More

  Conversion of fractions to Decimal       The simplest method is to use a calculator. Just divide the top of the fraction by the bottom, and read off the answer! Example: What is 58 as a decimal … ? … get your calculator and type in “5 / 8 =” The answer should be 0.625 No Calculator? ….  Read More

  Class Activity in Lesson 12. Convert  1/3 to a Decimal Answer below Step 1: There is no way to multiply 3 to become 10 or 100 or any “1 followed by 0s”, but we can calculate an approximate decimal by choosing to multiply by, say, 333 Step 2: Multiply top and bottom by 333: ×333 1/3 ….  Read More

Lessons in this topic below ESTIMATION: – Concept of estimation and reasons. – Estimation of dimensions and distance. – Estimation of capacity volumes and mass of objects – Estimation of other things e.g. age, time, etc. -Quantitative reasoning involving estimation.       Introduction to Estimation   Have you ever observed the headlines of any news ….  Read More

  Solved Examples Example 1     Tia and John collect marbles. Tia has collected 335 and John has collected 442 marbles. Choose a better estimate to find the number of marbles they own together. Solution Here, a better estimate can be obtained by rounding off the digits to the nearest tens. To get an estimate of the sum, ….  Read More

    Precision – Accuracy of Numbers in Degrees.   Precision refers to the amount of information that is conveyed by a number in terms of its digits; it shows the closeness of two or more measurements to each other. It is independent of accuracy.   Precision Definition If you weigh an object five times ….  Read More

  Approximation: How to Determine Degree of Accuracy . Degree of Accuracy Rounding Up of Numbers I.  Degree of Accuracy Many calculations involve measurements.  The degree of accuracy of the results of the calculations depends therefore on the degree of accuracy of the measurements. It therefore means that the degree of accuracy of measurement in a ….  Read More

  Lesson 4 Home Work Activity Give each of the following correct to 1d.p and 2 d.p (a) 3.4567           (b) 35. 4782             (c) 4.2071 Solution (a) 3.4567 i.   3.5  ( 1 d.p) ii. 3.46 (2d.p) (b) 35. 4782 i. 35.5   ( 1d.p) ii. 35.48 ( 2d.p) (c) 4.2071 i.   4.2  ( 1 d.p) ii. 4.21 ….  Read More

    Approximation :Rounding up of numbers, significant figures, decimal places, nearest whole numbers, tens, hundreds and thousand. Estimation of Numbers is an integral aspect of mathematics, and we engage in it every day. Be it estimating the bill, a person’s weight or solving a Maths problem. But of course, approximate is not good enough sometimes, ….  Read More

    Lesson 6 Home Work Questions Round up the underlisted  figures to the nearest tenth. 73 389 Solution 1. To round 56.73 to the nearest tenth, we will check the digit in the hundredths place, which is 3 in this case. Since 3 is less than 5, 7 will remain the same and the ….  Read More

    Approximation.:Rounding up of numbers to the nearest Thousand     Round to the Nearest Thousand Rounding numbers means replacing the given number with an estimated value which is its simpler representation. This rounded number is an approximate value that is easier to use. While rounding numbers, we always consider the place value of ….  Read More

  Lesson 8 Solution on Class Assignment     Home work/ solutions. 3. Round 8039 to the Nearest Thousand Ans: To solve this question we have to check whether 8039 is closer to 8000 or 9000 in the counting. In this case, 8039 is closer to 8000, hence 8000 is the round figure of 8039. ….  Read More

    Quantitative Reasoning- Introduction   Quantitative Reason (QR) skills refer to students’ ability to apply data and numerical evidence to theoretical questions.  Quantitative reasoning (QR) is, “the application of basic math skills, such as algebra, to the analysis and interpretation of real-world quantitative information in the context of a discipline or an interdisciplinary problem ….  Read More

  Solved problems in Quantitative Reasoning  In an effort to develop a program to decrease the amount of sugar the people in the city of Stoneville are eating, the mayor is gathering facts about the town’s residents. He finds that the city’s population is 12,322, and that the city’s stores sell a total of 19,820 ….  Read More

                                    Number Base       Base     Base, in math, is defined as a set of digits used to represent numbers. Different number systems use different combinations of digits as the base. For example, the binary number system ….  Read More

    Counting in Base 2 NUMBER BASES In Mathematics, a base or radix is the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system. Because “dec” means 10, it uses the 10 digits from 0 to 9. Most people ….  Read More

  Conversion of base 10 numerals to binary numbers.     Let’s convert a base 10 numeral to a binary number. I’ll show you the working step by step. Example: Convert 42 to binary Divide the decimal number by 2. 42 ÷ 2 = 21, remainder 0 Divide the quotient (21) by 2. 21 ÷ 2 = ….  Read More

  Addition and subtraction of two or three – 3 digits binary numbers   What Are Binary Numbers     Binary numbers are like secret codes that computers use to talk to each other. Imagine you have a magical box with only two buttons: a 0 button and a 1 button. These buttons are like ….  Read More

      Number Based: Multiplication of two 2-digit binary numbers ‍ Certainly! Let’s explore the fascinating world of binary multiplication. 🌟 ## Binary Multiplication Basics Binary multiplication involves multiplying two binary numbers, which consist of only two digits: **0** and **1**. The process of binary multiplication is similar to conventional multiplication, but with a ….  Read More

    Lesson 16 Class Exercise Assignment Exercise 1: Multiplying 1101 by 101 Let’s solve the binary multiplication problem:   Set up the problem: “` 1101 × 101 —— “`   Multiply each digit: – **1101 × 1 = 1101** (no shift) – **1101 × 0 = 0000** (shift one position to the left) – ….  Read More

      Introduction to Integers       In Mathematics, integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, ….  Read More

    Addition and subtraction of positive and negative integers using number line and collection of terms     In addition and subtraction of integers, we will learn how to add and subtract integers with the same sign and different signs. We can also make use of the number line to add and subtract signed integers. ….  Read More

  Algebraic Process   Lessons in this topic👇 – Use of Symbols in Algebraic process  -Word problems involving use of symbols   What is algebraic Process in mathematics….?   Well, algebra is the  branch of mathematics that substitutes letters for numbers. We can say  it is about finding the unknown or putting real-life variables into equations ….  Read More

  IN HA’YHWH 🛐 HA’ADONAI 🛐 SON🛐 THE GREAT🛐 NAME 🛐 OF YHWH 🛐 YESHUA 🛐 HAMASHIACH 🛐. Please help us understand  algebraic process. AMIN and AMEN🛐 HA’YHWH🛐 YESHUA🛐 HAMASCHIAC 🛐       Home work on quiz sectio,in Lesson 3 A woman is three times as old as her daughter. If the woman is ….  Read More

    Problems solving on basic arithmetic operations in algebraic processes   May HA’HASHEM 🛐 BE PRAISE 🛐AND EXEEDINGLY WORSHIP🛐, As We Learn  Under HIS🛐 HA’HASHEM 🛐 SHADOW 🛐 HA’YHWH 🛐 HA’ELOYIHM 🛐 IN HA’YHWH 🛐 YESHUA 🛐 HAMASCHIAC 🛐. PLEASE🙏 HA’HASHEM 🛐 MERCIFULLY 🛐 Grant Us, Your Pupil understanding IN HA’YHWH 🛐 YESHUA 🛐 ….  Read More

            Plane Shapes   Lessons:   1.      Similarities and differences between the following square, rectangle, triangle, trapezium, parallelogram and circle       Plane Shapes A shape can be defined as the boundary or outline of an object.  A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a ….  Read More

⁄ Lesson 7: Plane shapes such as: Squares, rectangles, parallelograms etc.      In Geometry, a square is a two-dimensional plane figure with four equal sides and all the four angles are equal to 90 degrees. The properties of rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite ….  Read More

  Perimeter of regular polygon. May HA’HASHEM 🛐 HA’YHWH 🛐 HA’ADONA 🛐 BE WORSHIPED AND PRAISE 🛐 Continually, As We Learn  in HIS🛐 PRESENCE 🛐 HA’YHWH 🛐 HA’HASHEM 🛐 HA’ADONAI🛐. PLEASE🛐 Grant Us all Understanding  IN HA’YHWH 🛐 YESHUA 🛐 HAMASCHIAC 🛐. Response: AMIN AND AMEN   What is a polygon? In geometry, a polygon ….  Read More

  May HA’HASHEM🛐 HA’YHWH🛐 HA’ADONAI🛐 BE WORSHIPED 🛐AND PRAISE 🛐Continually🛐 As We Learn  in HIS🛐 PRESENCE🛐 HA’YHWH🛐 HA’HASHEM🛐 HA’ADONAI🛐. PLEASE Grant Us all Understanding  IN HA’YHWH🛐 YESHUA🛐 HAMASCHIAC 🛐 Response: AMIN🛐 AND AMEN🛐   Solution to Lesson 8 Class Exercise      Example 2: Find the length of the side of an equilateral triangle if its ….  Read More

  Basic properties of cylinders and shapes     Cylinder is one of the basic 3d shapes, in geometry, which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center. The line segment joining the center of two circular bases is the axis ….  Read More

       Lesson 8 Basic properties of pyramids and cone.   A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex. We can also define the cone as a pyramid which has ….  Read More

https://www.toppr.com/guides/maths/mensuration/cube-and-cuboid/   Prayer TO HA’HASHEM🛐 ON SCHOOL Lessons 👇 May HA’HASHEM🛐BEPRAISED🛐  IN Our WORSHIP 🛐.AndMay HE🛐 In HIS🛐 Infinite Mercy🛐 Remember Us, and Grant us ; both The Teacher and Students Ability  to understand this subjects, as HE🛐 Teaches Us all through Our teacher, In HASHEM 🛐 HA’ADONAI 🛐 SON 🛐 HA’YHWH 🛐 YESHUA 🛐 ….  Read More

Prayer TO HA’HASHEM🛐 ON SCHOOL Lessons 👇 May HA’YHWH🛐 HA’HASHEM🛐BE PRAISED🛐  IN Our WORSHIP 🛐.AndMay HE🛐 In HIS🛐 Infinite Mercy🛐 Remember Us, and Grant us ; both The Teacher and Students Ability  to understand this subjects, as HE🛐 Teaches Us all through Our teacher, In HASHEM 🛐 HA’ADONAI 🛐 SON 🛐 HA’YHWH 🛐 YESHUA 🛐 ….  Read More