Grade 1Tens and Ones1.NBT.C.4

Adding That Makes a New Ten

27 + 6: the ones make a new ten.

Not started Jump to practice

What if the ones add up to 10 or more? Then you make a ten, just like with facts, and add tens and ones as before.

Press “Add 6,” then tap the ones to trade 10 of them for a new ten-stick.

Key idea

If the ones make 10 or more, trade 10 ones for 1 new ten. $27 + 6$: $7 + 6 = 13$ ones, which is 1 ten and 3 ones. So the answer is 33.

Why it works

10 ones and 1 ten are the same amount. Trading keeps the total the same, but lets us write it with one digit in each place.

Worked example: A new ten

What is $27 + 6$?
  1. Ones: $7 + 6 = 13$.
  2. 13 ones is 1 ten and 3 ones.
  3. Tens: $2 + 1 = 3$ tens. The answer is 33.

Answer: 33

Worked example: Exactly ten ones

What is $58 + 2$?
  1. Ones: $8 + 2 = 10$. That is 1 ten and 0 ones.
  2. Tens: $5 + 1 = 6$ tens.
  3. $58 + 2 = 60$

Answer: 60

Common mistake

Writing 213 for $27 + 6$, putting the 13 ones next to the 2 tens. Each place can hold only one digit. And 213 is far too big: $27 + 6$ must be in the 30s.
For grown-ups: Play a trading game with pennies and dimes: whenever you have 10 pennies, trade them for a dime.

Practice

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

Loading practice…

Builds on

Leads to

Sources and further reading

  • Common Core State Standards for Mathematics, Grade 1, 1.NBT.C.4: add within 100; sometimes it is necessary to compose a ten
  • Institute of Education Sciences practice guide: Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (WWC 2021006)
@teddyrookbook GitHub