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Features

Add by place value to see why the standard algorithm works
Add 4-, 5- and 6-digit numbers with sums up to 1,000,000, with small boxes for regrouped digits
Write problems in columns, add three numbers, and use the properties of addition to add in an easier order
Subtract with regrouping, count up to subtract, subtract across zeros and check each answer by adding
Find and fix mistakes
Round to decide whether answers are reasonable, then solve one-step and multistep story problems
Every page in color and in black and white
Answer keys included

Skills Covered

Add by place value and with the standard algorithm
Add 4-, 5- and 6-digit numbers with regrouping, to 1,000,000
Line up places to add numbers of different lengths, and use the properties of addition

Subtract with regrouping, including across zeros
Count up to subtract, and add to check a subtraction
Estimate by rounding and solve one-step and multistep story problems

How to Use This Pack

Five pages that build fluency with the standard algorithm and show why it works. Page 1 adds by place value first (3,456 + 2,378 is 5,000 + 700 + 120 + 14), then adds nine 4- and 5-digit problems in a grid with place names over the columns and small boxes for the regrouped digits. Page 2 adds 6-digit numbers, one of them making exactly 1,000,000, writes two problems in the grid with the places lined up (one with three addends), and adds three numbers in an easier order: (2,375 + 625) + 4,980 = 3,000 + 4,980. Page 3 subtracts 4- to 6-digit numbers with regrouping, then counts up to subtract: 3,975 + 25 = 4,000 and 4,000 + 4,215 = 8,215, so 8,215 − 3,975 = 4,240. Page 4 subtracts across zeros (40,000 − 12,345), checks each answer by adding, finds the mistake in two worked problems and explains why adding checks a subtraction. Page 5 rounds to decide whether answers are reasonable, then solves four story problems with numbers up to 1,000,000, two of them multistep, estimating first.

In the Classroom

Work the page 1 example together and point out that the 120 in the partial sums is the regrouped 1 in the hundreds place of the standard algorithm. Before page 4, model 40,000 − 12,345 with the regrouping written in: the 4 becomes 3 and every 0 becomes 9 except the ones, which becomes 10. The mistakes on page 4 make a good partner talk: ask each pair to agree on what went wrong before they write.

At Home

Look up big numbers together, such as the seats in two stadiums or the people in two towns, and ask your child to estimate the total and the difference before working them out. Check a subtraction by adding the answer back.

Tips for Success

Line up the ones, tens, hundreds and every other place before you add or subtract
Start with the ones and move left, one place at a time
When a place adds up to 10 or more, write the regrouped 1 in the small box over the next place
When the top digit is smaller, regroup from the next place; across zeros, each 0 becomes 9
Check a subtraction by adding: the answer plus the number you took away is the top number
Round to estimate first, so you know about how big the answer should be

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

4.NBT.B.4 Add and subtract whole numbers with many digits fluently, using the standard written method with regrouping.

Multi-Digit Addition and Subtraction

4th Grade

Multi-digit addition and subtraction up to 1,000,000 with the standard algorithm, and why it works. Students add by place value, subtract across zeros, fix mistakes, and round to check answers to story problems.

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What’s Included

5 worksheets in color and in black and white, with answer keys (15 pages)
Partial sums and the standard algorithm with place names and regrouping boxes, to 1,000,000
Lining up places, three addends, properties of addition, and counting up to subtract
Subtracting across zeros with an addition check, finding mistakes, reasonable answers and story problems

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