Place Value, Roman Numerals, and Basic Operations

Place Value

• In the number 752,364, the place value of 7 is 700,000.
• The 7 occupies the hundred thousands place.

Smallest Number Formation

• Using digits 5, 9, 3, and 2, the smallest number formed is 2,359.
• This is achieved by arranging the digits in ascending order.

Rounding Off to the Nearest 100

• For rounding to the nearest 100, digits 0-4 in the tens place leave the hundreds digit unchanged.
• Digits 5-9 in the tens place increase the hundreds digit by one.
• 527 rounds down to 500 when rounding to the nearest 100.

Roman Numerals

• The number 40 is represented as XL in Roman numerals.
• 'L' stands for 50, and 'X' before 'L' indicates subtraction: 50 - 10 = 40.

Addition

• 4,872 + 3,925 = 3,925 + 4,872 demonstrates the commutative property of addition.

Addition with Zero

• 62,560 + 0 = 62,560, showing that adding zero does not change the number.

Subtraction (Finding the Difference)

• 1,000 less than 10,000 equals 9,000.
• This is calculated by subtracting 1,000 from 10,000.

Multiplication by Multiples of 10

• 39 multiplied by 1,000 is 39,000.
• Multiplying by 1,000 is done by appending three zeros to the number.

Multiplication by Zero

• Any number multiplied by zero is zero.

Problem-Solving

• If 4 potted plants have a total of 20 flowers, each plant has 5 flowers (20 flowers / 4 plants = 5 flowers/plant).

Division Basics

• 5 / 5 = 1; any number divided by itself equals 1.

Division with Remainder

• 593 divided by 10 yields a quotient of 59 and a remainder of 3.
• 10 goes into 593 fifty-nine times, with 3 remaining.

Division Comparison

• 400 / 5 = 80, and 100 / 1 = 100, thus 400/5 is less than 100/1.

Multiples

• The first three multiples of 5 are 5, 10, and 15.
• These are derived by multiplying 5 by 1, 2, and 3 respectively.

Common Multiples

• 12 and 24 serve as examples of common multiples shared by both 4 and 3.

Divisibility

• 45 is divisible by 5.
• Divisibility by 5 requires the number's last digit to be either 5 or 0.

Ray Representation

• Ray Representation details are not included.

Numerical simplification

• To simplify (6/8) * (3/4) * (7/3):
• Multiply the numerators: 6 * 3 * 7 = 126.
• Multiply the denominators: 8 * 4 * 3 = 96.
• Simplify 126/96 to 21/16 by dividing both by their greatest common divisor, 6.

Equivalent fraction with denominator

• To find an equivalent fraction of 6/7 with a denominator of 14 factorize:
• 6/7 is 12/14.

Like Fractions

• Like fractions share a common denominator.
• For example: 3/7 and 4/7 are like fractions.

Subtract Fractions

• Calculating 9/15 - 2/15:
  • Subtract the numerators: 9 - 2 = 7.
  • The result is 7/15.

Mixed Fraction

• A mixed fraction combines a whole number and a proper fraction.

Decimal to Fraction

• 4 9/10 expressed as a decimal is 4.9.
• This is the result of doing the long division

Tenths Place Example

• In a number like 34.3:
  • The digit immediately following the decimal point (.3) is in the tenths place.

Decimal Simplification

• The simplified fraction of the decimal 5.55 is 555/100.

Metric Conversion

• Converting 5 kilometers and 60 meters to meters:
  • 5 kilometers equals 5000 meters (1 km = 1000 m).
  • 5000 meters + 60 meters = 5,060 meters.

Metric Volume

• Expressing 3750 milliliters in liters and milliliters:
  • 3750 mL is equal to 3 liters and 750 milliliters (1 L = 1000 mL).

Perimeter Rectangle

• Calculating the perimeter of a rectangle:
  • The formula is: Width + Height + Width + Height.

One-Sided Square

• Calculating the length of one side of a square using its perimeter:
  • Formula: Side + Side + Side + Side = Perimeter
    • Divide the perimeter by 4 to find the length of one side.

AM, PM

• Based on a 12-hour clock:
  • Times past 5 PM are typically denoted as PM.

Mins Calculation

• Minutes can be clarified within the context of 1 hour.

Long Division Simplification

• Simplify 16/32 using factorization.

Fraction of a Kg

• 2/4 of an 80 KG load can be easily discovered by factorization on 1/2 = 40.

Unit Conversion

• Breakdown Factorize 8 1/9 of 90.

Simplify the mix Fraction

• Breakdown The Simplification Process of a Mix Fraction By Long Division.

Fraction Equation

• Solve a Simple Equation for Unit Conversion.

What is a reciprocal?

• Solve a Simple Equation by doing a reciprocal with the fraction.

How is time measured?

• 1 Hour = 60 Mins

What is an Hour?

• Short Hand - Hour Hand

A Week

• Calculate # of Weeks

A Day

• Calculate # A day in AM,PM fashion.

Circle Core

• When there are multiple circles, there can be many variations and patterns to categorize them.

Diameter of Radious

• A circle needs to be 2 * Radius

Basic Geometry CUBE

• A 6 Sided figure

Basic Geometry

• Name All the Basic Number of Sided Polygons.

Perimeter Addition

• Add length and with = Perimeter - 1 Sided

Calculate Area

• Calculation of an Area of Rectangle.

Explore place value, smallest number formation, rounding, Roman numerals, addition, and subtraction. Understand the commutative property of addition and the result of adding zero. Calculate differences and represent numbers in different formats.