A Pre-Algebra Module Based on California State Math Standards -- Grade 7

Basics Refresher -- Whole Numbers

 

Addition With Renaming

 

Remember back in the first and second grade when you learned place value?  There was a reason.

 

10 THOUSANDS

THOUSANDS

HUNDREDS

TENS

ONES

1

4

3

2

5

14,325   or   fourteen thousand, three hundred, twenty-five

We need place value when we do any mathematical operation.

Place Value and Addition

When we add, we think of the place value boxes as houses where families live.  The farther left you go the bigger the families.

 

Why?  Think about it.  A 5 in the ones family means that there are five ones or just plain 5.

 

A 5 in the tens family means that there are 5 tens or 50.

 

The most important thing to remember about these families is that the President of Place Value-Land has passed a law.

 

PLACE VALUE-LAND LAW:  No house will have more than 9 members.

 

Ah-ha!  This is why we must rename numbers.  If no house can have more than nine members, when we get a 10 or a 30 or a 55…the right number stays home and the left number moves to the house on the left.

 

Remember:  Right is right…left moves on!

Give It A Try

 

 

 

1

 

 

4

6

8

 +

1

2

8

 

 

 

6

 

Put your finger on the RIGHT column.  You have your finger on 8 + 8.  We know that 8 + 8 = 16. 

 

16 is more than nine…so the 10’s number…1…has to move next door.

 

 

 

1

 

 

4

6

8

1

2

8

 

 

 

6

 

Now, just finish the problem:

 

 

 

1

 

 

4

6

8

1

2

8

 

5

6

 

 

 

JUST REMEMBER

 

 

 

1

 

 

6

2

5

+

1

3

9

 

7

5

4

 You can only have 9 members of the

same family in one house!

 

 

 

Homework 1