nubtrek

Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
mathsWhole NumbersWhole Numbers: Multiplication and Division

Multiplication: First Principles

This page explains the multiplication in first principles as repetition of a quantity, with examples in count or measure of quantities and in the number-line.



click on the content to continue..

`3` cars were given to `4` show rooms each. multiplication two numbers How many cars were given in total?

  • `3+4=7`
  • `3+3+3+3=12`
  • `3+3+3+3=12`

The answer is '`12`'. The problem is understood to be that of repeated addition.

`3` cars were given to the first show room, then to the second, then to the third, and then to the fourth. So `3` was repeatedly added `4` times to get the total.

Considering `3` cars given to `4` show rooms each.multiplication two numbers All the cars are shown in the figure. Counting the number of cars, the result is `12`.

There are `4` pencils, each of `3` centimeter long. multiplication two numbers What is the combined length of the `4` pencils?

  • `4+3=7`
  • `3+3+3+3=12`
  • `3+3+3+3=12`

The answer is '`12`'. The problem is understood to be that of repeated addition.

Length of one pencil is `3` centimeters. To get the combined length of `4` such pencils, the length is repeatedly added `4` times.

Considering `4` pencils, each of 3 centimeter long.multiplication two numbers The four pencils are placed side-by-side and the length measurement is taken from `0`. The measure at the end is `12`. The combined length is `12` centimeters.

The count or measure of a quantity can be repeatedly added or multiplied.

The multiplication results in count or measure of the combined quantity.

What is the result of `3` repeatedly added `4` times?multiplication two numbers multiplication in number line is given in the figure.

  • `34`
  • `34`
  • `3xx4=12`

The answer is '`12`'. Multiplication `3xx4` is given in number-line. The value `3` is repeated `4` times to land in `12`. The result of the multiplication is `12`.

Which of the following is a meaning for the word "multiplication"?

  • increase in quantity many times over
  • increase in quantity many times over
  • many possibilities or choices

The answer is "increase in quantity many times over".

What is the term used to refer "increase in quantity many times over"?

  • Pronunciation : Say the answer once
    Spelling: Write the answer once

The answer is "multiplication".

Multiplication - First Principles : Two numbers are considered, each of which represents a count or measurement. One of the amount is repeated the number of times given by the second amount to form the result representing the collective amount from such repetition.

eg: `12 xx 3 = 36`

`12` is the multiplicand

`3` is the multiplier

`36` is the product

Which of the following is a meaning for the word "multiplicand"?

  • process of multiplication which is repeated addition
  • the number or quantity that is repeatedly added in a multiplication
  • the number or quantity that is repeatedly added in a multiplication

The answer is "the number or quantity that is repeatedly added in a multiplication".

What is the term used to refer "the number that is repeatedly added"?

  • Pronunciation : Say the answer once
    Spelling: Write the answer once

The answer is "multiplicand".

Which of the following is a meaning for the word "multiplier"?

  • the number of times a quantity is repeatedly added
  • the number of times a quantity is repeatedly added
  • a tool that helps to hold an object firmly

The answer is "the number of times a quantity is repeatedly added".

What is the term used to refer "the number of times a quantity is repeatedly added"?

  • Pronunciation : Say the answer once
    Spelling: Write the answer once

The answer is "multiplier".

Which of the following is a meaning for the word "product"?

  • the result of multiplication
  • the result of multiplication
  • professionally made passageway for air

The answer is "the result of multiplication".

What is the term used to refer "the result of multiplication"?

  • Pronunciation : Say the answer once
    Spelling: Write the answer once

The answer is "product".

                            
switch to slide-show version