The Numbers 0 and 1 in Operations - Examples, Exercises and Solutions

Understanding The Numbers 0 and 1 in Operations

Complete explanation with examples

The numbers 0 0 and 1 1 have some special characteristics when performing basic operations like addition, subtraction, multiplication, and division—including combined calculations.

In this article we will learn what they are and why they are important.

Visual explanation of identity elements: Zero is shown as the additive identity with the equations a + 0 = a and a - 0 = a. One is shown as the multiplicative identity with the equations a × 1 = a and a ÷ 1 = a

Detailed explanation

Practice The Numbers 0 and 1 in Operations

Test your knowledge with 19 quizzes

\( \frac{6}{3}\times1=\text{ ?} \)

Examples with solutions for The Numbers 0 and 1 in Operations

Step-by-step solutions included
Exercise #1

Solve the following exercise:

19+1−0= 19+1-0=

Step-by-Step Solution

According to the order of operations rules, since the exercise only involves addition and subtraction operations, we will solve the problem from left to right:

19+1=20 19+1=20

20−0=20 20-0=20

Answer:

20 20

Video Solution
Exercise #2

Solve the following exercise:

9−0+0.5= 9-0+0.5=

Step-by-Step Solution

According to the order of operations rules, since the exercise only involves addition and subtraction, we will solve the problem from left to right:

9−0=9 9-0=9

9+0.5=9.5 9+0.5=9.5

Answer:

9.5

Video Solution
Exercise #3

2+0:3= 2+0:3=

Step-by-Step Solution

According to the order of operations rules, we first divide and then add:

0:3=0 0:3=0

2+0=2 2+0=2

Answer:

2 2

Video Solution
Exercise #4

0:7+1= 0:7+1=

Step-by-Step Solution

According to the order of operations rules, we first divide and then add:

0:7=0 0:7=0

0+1=1 0+1=1

Answer:

1 1

Video Solution
Exercise #5

Solve the following exercise:

2+0:3= 2+0:3=

Step-by-Step Solution

According to the order of operations rules, we first divide and then add:

2+(0:3)= 2+(0:3)=

0:3=0 0:3=0

2+0=2 2+0=2

Answer:

2 2

More The Numbers 0 and 1 in Operations Questions

Click on any question to see the complete solution with step-by-step explanations

Special Cases (0 and 1, Inverse, Fraction Line)

Solve 20·4:5·(3+0·7-1): Order of Operations Practice Solve '20-0÷4×3+1': Order of Operations Practice Solve 1×(1/2)÷2: Mixed Operations with Fractions Solve: (3/2) × 1 × (1/3) - Step-by-Step Fraction Multiplication Solve 18 - 1 × 0.1: Order of Operations with Decimals

Continue Your Math Journey

Master The Numbers 0 and 1 in Operations first, then advance to these related topics that build on your fraction skills

Suggested Topics to Practice in Advance

The Order of Basic Operations: Addition, Subtraction, and MultiplicationOrder of Operations: ExponentsOrder of Operations: RootsOrder of Operations - Exponents and RootsOrder of Operations with Parentheses

Topics Learned in Later Sections

Division and Fraction Bars (Vinculum)Neutral Element (Identity Element)Order or Hierarchy of Operations with FractionsMultiplicative InverseSpecial cases (0 and 1, reciprocals, fraction line)The Order of Operations

Practice by Question Type

Choose your preferred learning style and practice format for fraction problems
Exercises with fractions Identify the greater value In combination with other operations Parentheses within parentheses Using 0 Using 1 Using fractions Using negative numbers