6 and 7-Digit Addition

NUMBERS AND OPERATIONS

FOURTH GRADE

The addition is the mathematical composition operation that consists of combining, joining or adding two or more numbers to obtain a final or total quantity.

In the additive expression, four fundamental properties are always satisfied:

1) Commutative property:

A modification in the order of its elements (addends) will not modify the result; for example: 3 + 2 = 2 + 3

2) Associative property:

When three or more numbers are added, the order of the addends does not influence the result; for example: 4 + (2 + 1) = (4 + 2) + 1

3) Property of the neutral element (or identity element):

Any number added to the number zero (0) will result in the same number; for example: 5 + 0 = 5

4) Distributive property (combines multiplication and addition):

The result of the sum of two numbers (A and B) multiplied by a third number (C) will be equivalent to the sum of their products (A x C + B x C); for example: 2 x (4 + 3) = 2 x 4 + 2 x 3

Properly place the terms of the addition in natural numbers up to 9,999,999

FOURTH GRADE

How to build the algorithm of a vertical sum?

Next you will learn to construct vertical sums by placing the symbols "+" and "=" and each of their terms (addends and result) in the corresponding place, practicing with the different printable educational worksheets that we have developed for whole numbers from 0 to 10,000,000.

Remember, with the 6-digit and 7-digit additions you must always align, according to their place value, the ones (1s), the tens (10s), the hundreds (100s), the thousands (1,000s), the ten thousands (10,000s), the hundred thousands (100,000s) and the millions (1,000,000s) before solving any addition operations.

PLACE VALUE ADDITION 7-DIGITS

Solve sums of two addends vertically without regrouping with natural numbers up to 9,999,999

FOURTH GRADE

How to add numbers up to seven digits without carrying?

We present a solved example as well as some printable PDF activities accompanied by their explanation so that you can easily learn how to add in vertical and without regrouping 6 and 7-digit numbers between 0 and the 10,000,000.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
ADDING UP TO 7 DIGIT WITHOUT REGROUPING - 1
ADDING UP TO 7 DIGIT WITHOUT REGROUPING - 2
ADDING UP TO 7 DIGIT WITHOUT REGROUPING - 3
SOLVE ADDITION 7 DIGITS NO CARRYING - 4

Solve sums of two addends vertically with regrouping with natural numbers up to 9,999,999

FOURTH GRADE

How to add numbers up to seven digits with carrying?

Practice the 6 and 7-digits addition with regrouping with the whole numbers from 0 to 10,000,000 from our printable worksheets and become a mathematical expert.

If you need a little preparation, watch our video lessons where we provide you with some solved examples following the vertical resolution method by columns.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
ADDING UP TO 7 DIGIT WITH CARRY - 1
ADDING UP TO 7 DIGIT WITH CARRY - 2
ADDING UP TO 7 DIGIT WITH CARRY - 3
ADDING UP TO 7 DIGIT WITH CARRY - 4

We also provide you with a set of interactive games so that you can practice six and seven-digit sums with carry from the personal computer (or desktop computer), the tablet and / or the mobile phone:

Solve sums of three addends vertically without regrouping with whole numbers up to 9,999,999

FOURTH GRADE

How to add 3 or more addends of up to 7 figures without carrying?

We explain step by step how to perform the calculations and how to find the result easily in the sums with three addends without carrying up to the millions.

ADDITION 3 ADDENDS UP TO 7 DIGITS NO CARRYING - 1
ADDITION 3 ADDENDS UP TO 7 DIGITS NO CARRY - 2
ADDITION 3 ADDENDS UP TO 7 DIGITS NO CARRY - 3
ADDITION 3 ADDENDS UP TO 7 DIGITS NO CARRY - 4

Solve sums of three addends vertically with regrouping with whole numbers up to 9,999,999

FOURTH GRADE

How to add 3 or more addends of up to 7 figures with carrying?

Practice the addition of three addends with six and seven digits and carried from our printable worksheets and with the natural numbers from 0 to 9,999,999.

ADDING 3 ADDENDS 7 DIGITS REGROUPING 1
ADDING 3 ADDENDS 7 DIGITS REGROUPING 2
ADDING 3 ADDENDS 7 DIGITS REGROUPING 3

Mentally solve simple addition facts with natural numbers up to 9,999,999

FOURTH GRADE

Show your logical-mathematical skills by solving our exercises with hidden or missing whole numbers and using mental calculation (also known as "mental math").

Solve addition word problems without regrouping with natural numbers up to 9,999,999

FOURTH GRADE

We have made some exercises so that you can practice solving addition word problems no carrying with the numbers from 0 to 10,000,000.

To make it easier for you, we provide you a step-by-step explanation through a video tutorial with 6 and 7-digits adding word problems without regrouping.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

Solve addition word problems with regrouping with whole numbers up to 9,999,999

FOURTH GRADE

Show that you are a math genius by solving each of our arithmetic problems using the basic operation of addition with carryover from 0 to 10,000,000.

If you need a little preparation, watch our video lessons where we provide you with some solved examples using the vertical column method.

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

Apply the commutative property of addition with natural numbers up to 9,999,999

FOURTH GRADE

Do you know what the Commutative Property of Addition is?

The Commutative Property of Addition is that universal mathematical law that states that "even if we change the order in which the addends are added, the result is always the same".

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas
EXEMPLE COMMUTATIVE PROPERTY OF ADDITION

Apply the associative property of addition with natural numbers up to 9,999,999

FOURTH GRADE

Do you know what the Associative Property of the Addition is?

The Associative Property of addition is that universal mathematical law that tells us that "if we add three or more numbers, the result will always be the same regardless of the order in which we group the addends".

SPANISH

video explicacion matematicas

ENGLISH

video explicacion matematicas

GAMES

EXEMPLE ASSOCIATIVE PROPERTY OF ADDITION

Do you want access to more Fourth Grade learning?

Select more exercises, worksheets and activities of Mathematics for each of the 4 learning blocks of the Educational Curriculum ("Numbers and Operations", "Quantities and Measurements", "Geometric and Spatial Reasoning" and "Data Analysis and Probability") aimed at improving the logical-mathematical competencies and skills that are developed throughout "Grade 4" or "Year 5":

NUMBERS AND OPERATIONS
FOURTH GRADE
QUANTITIES AND MEASUREMENTS
FOURTH GRADE
GEOMETRIC AND SPATIAL REASONING
FOURTH GRADE
DATA ANALYSIS AND PROBABILITY
FOURTH GRADE

"Wisdom does not come from age, but from education and learning"

Anton Chekhov