Mathematics: Digits and Operations

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Questions and Answers

What is the purpose of the modulo operator (%) when applied to a number?

To multiply a number by ten
To shift the digits of a number to the left
To extract the last digit of a number (correct)
To remove the last digit from a number

When using floor division (//) on the number 98765, what will the result be?

9865
9876 (correct)
9877
9866

What effect does multiplying a number by 10 have on its digits?

It reverses the order of the digits
It adds a digit zero to the end of the number
It increases the digit values by tenfold (correct)
It rotates the digits to the right

Flashcards

Modulo Operator (%)

The modulo operator (%) returns the remainder after dividing two numbers.

Floor Division Operator (//)

The floor division operator (//) divides two numbers and rounds the result down to the nearest whole number.

Extracting the Last Digit

The modulo operator (%) extracts the last digit of a number by finding the remainder when the number is divided by 10.

Removing the Last Digit

The floor division operator (//) removes the last digit of a number by dividing the number by 10 and discarding the remainder.

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Multiplying by 10

Multiplying a numerical value by 10 effectively shifts the digits of the number one place to the left, essentially increasing the place value of each digit.

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Study Notes

Extracting the Last Digit

The modulo operator (%) finds the remainder when a number is divided by another.
To get the last digit of a number (x), use x % 10.
Example: 12345 % 10 = 5 (the last digit).

Removing the Last Digit

Floor division (//) divides a number by another and rounds down to the nearest whole number.
Removing the last digit from a number (x) involves x // 10.
Example: 12345 // 10 = 1234 (the last digit 5 is removed).

Shifting Digits (Multiplying by 10)

Multiplying a number by 10 shifts its digits one place to the left.
This is useful when building a reversed number.
Example: 3 * 10 = 30 (shifts the digit 3 from the ones place to the tens place).

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Description

This quiz covers essential mathematical concepts related to extracting, removing, and shifting digits in numbers. You will learn how to use the modulo operator and floor division effectively. Engage with practical examples to solidify your understanding.