Grade 2Adding and Subtracting within 1002.NBT.B.6

Adding Up to Four Numbers

Add several two-digit numbers using place value.

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Sometimes you add three or four numbers, like the points in a game. Place value still works: add all the tens, add all the ones, then put them together. You already know Adding Two-Digit Numbers.

23, 14, 31 and 12 in four colors. How many tens are there? How many ones?

Why it works

You can add numbers in any order and get the same total (Adding in Any Order). So you can gather all the tens first and all the ones first. Looking for ones that make 10 makes it even easier.

Worked example: Tens, then ones

Find $23 + 14 + 31 + 12$.
  1. Tens: $20 + 10 + 30 + 10 = 70$.
  2. Ones: $3 + 4 + 1 + 2 = 10$.
  3. $70 + 10 = 80$.

Answer: $80$

Worked example: Find a ten

Find $36 + 25 + 14$.
  1. 36 and 14 have ones that make 10: $6 + 4$.
  2. $36 + 14 = 50$.
  3. $50 + 25 = 75$.

Answer: $75$

Worked example: Lots of ones

Find $47 + 28 + 19 + 35$.
  1. Tens: $40 + 20 + 10 + 30 = 100$.
  2. Ones: $7 + 8 + 9 + 5 = 29$. That is 2 tens and 9 ones.
  3. $100 + 29 = 129$.

Answer: $129$

Key idea

To add several numbers, add all the tens, add all the ones, then combine. Look for ones that make 10.

Common mistake

Leaving a number out, or forgetting that the ones can make two new tens. Check: touch each number as you add it, and see whether the ones add to more than 19.
Grown-up tip: Keep score in a board game and add up each player’s points together.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

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Builds on

Leads to

This is one of the top rungs of Grade 2.

Sources and further reading

  • Common Core State Standards for Mathematics, Grade 2, standard 2.NBT.B.6 (add up to four two-digit numbers using strategies based on place value)
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