Adding multiples of 10 and 100

Adding tens is like adding ones: 3 tens + 4 tens = 7 tens, so 30 + 40 = 70. Learn to add 10, 100 and other multiples in your head.

The big idea: count tens like ones

A multiple of 10 is a number you say when you count in tens: 10, 20, 30, 40 and so on. Each one is a number of tens: 50 is 5 tens. So adding multiples of 10 uses facts your child already knows.

This is why learning facts within 10 and 20 matters so much: every fact is reused for tens and hundreds.

See it: pictures to draw with your child

Copy these onto paper or a whiteboard. A quick sketch makes the idea concrete before any written method.

4050607080+10+10+104777
47 + 30: three jumps of 10. 57, 67, 77.
30 + 40 = 70
3 tens and 4 tens make 7 tens: 30 + 40 = 70.
200 + 300 = 500
2 hundreds and 3 hundreds make 5 hundreds.

Adding 10 and adding 100

When you add 10, only the tens digit changes: it goes up by 1. 47 + 10 = 57, and the ones digit (7) stays the same.

When you add 100, only the hundreds digit goes up by 1. 362 + 100 = 462.

A hundred chart shows this beautifully: adding 10 moves you straight down one row. Ask your child to put a finger on 23, then move down: 33, 43, 53. “What changes? What stays the same?”

Watch the edge case: 95 + 10 = 105. The tens digit was 9, so 10 tens become 1 hundred. Children who expect 915 need to see this on a number line.

Jump in tens

Set the start and how much to add. Blue arcs are jumps of 10, green arcs are ones.

Adding tens to any number

To add a multiple of 10 to a 2-digit number, add to the tens and leave the ones alone. 47 + 30: 4 tens + 3 tens = 7 tens, and the 7 ones stay. Answer: 77.

On a number line, that is three jumps of 10: 47, 57, 67, 77.

The same works for hundreds: 245 + 300 = 545. Only the hundreds digit changes.

And for tens in bigger numbers: 245 + 30 = 275, because 4 tens + 3 tens = 7 tens.

Using tens to add any 2-digit number

Adding tens is the first half of most mental addition. For 47 + 36, add the tens first: 47 + 30 = 77. Then add the ones: 77 + 6 = 83. This is the jump strategy, and it relies on adding tens quickly.

A second trick is adding 9 or 11. To add 9, add 10 and take 1 away: 46 + 9 = 56 − 1 = 55. To add 11, add 10 and 1 more: 46 + 11 = 57. The same idea works for 19, 21, 29 and 31.

Patterns to spot

Ones factTensHundreds
2 + 3 = 520 + 30 = 50200 + 300 = 500
4 + 4 = 840 + 40 = 80400 + 400 = 800
7 + 5 = 1270 + 50 = 120700 + 500 = 1,200
9 + 6 = 1590 + 60 = 150900 + 600 = 1,500

Each row uses one fact three times. Count the zeros: tens have one zero, hundreds have two.

Quiz: add tens and hundreds

Use the fact you know, then put the tens or hundreds back.

Where this fits: addition step by step

  1. What is addition
  2. Counting on
  3. Addition on a number line
  4. Addition within 10
  5. Make 10
  6. Doubles
  7. Properties of addition
  8. Adding three numbers
  9. Addition within 20
  10. Adding tens and hundreds (this page)
  11. 2-digit addition
  12. Partial sums
  13. Addition with regrouping
  14. Estimating sums
  15. 3-digit addition
  16. Addition word problems

What to say to your child

A short script for teaching it the first time. Pause after each line and let your child do the next step.

  1. “What is 3 + 4?” (7.) “So what is 3 tens + 4 tens?” (7 tens!)
  2. “And 7 tens is…?” (70.) “So 30 + 40 = 70.”
  3. “Now 47 + 10. Only one digit changes. Which one?” (The tens: 57.)
  4. “Let’s try 47 + 30. Jump 10 three times.” (57, 67, 77.)
  5. “And 300 + 400?” (3 + 4 = 7, so 700.)

More worked examples

Example 1: tens: 60 + 70

6 + 7 = 13, so 6 tens + 7 tens = 13 tens = 130.

Example 2: tens to a 2-digit number: 34 + 50

3 tens + 5 tens = 8 tens. The 4 ones stay. Answer: 84.

Example 3: crossing 100: 85 + 30

8 tens + 3 tens = 11 tens = 110, plus the 5 ones: 115.

Example 4: hundreds: 450 + 300

4 hundreds + 3 hundreds = 7 hundreds. The 50 stays. Answer: 750.

Practice questions (answers below)

Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.

  1. 20 + 50
  2. 40 + 40
  3. 70 + 60
  4. 36 + 10
  5. 58 + 30
  6. 95 + 10
  7. 300 + 600
  8. 418 + 100
  9. Riya has 40 stickers and gets 30 more. How many now?
  10. Stretch: 260 + 50 + 200
Show the answers
  1. 70
  2. 80
  3. 130
  4. 46
  5. 88
  6. 105
  7. 900
  8. 518
  9. 70 stickers
  10. 510

Common mistakes

Adding to the ones as well47 + 30 = 80, because they add 3 to the ones too.Fix: only the tens change: 4 tens + 3 tens = 7 tens, so 77.
Losing a zero60 + 70 = 13.Fix: say it in tens: 6 tens + 7 tens = 13 tens, which is 130.
Writing 915 for 95 + 10Puts 10 tens in the tens place.Fix: 10 tens make 1 hundred, so 95 + 10 = 105. Check on a number line.

How to teach it at home

Hundred chart walk

Point to a number and move down to add 10 or up to take 10 away.

Coins and notes

Add 10-rupee notes, or dimes, in your head while shopping.

Skip-count jumps

Count by 10s from any number: 7, 17, 27, 37… while walking or on the stairs.

By grade

Worksheets and practice

Last reviewed

Questions parents ask

How do you add multiples of 10?

Use the ones fact and keep the tens. 30 + 50: 3 + 5 = 8, so 3 tens + 5 tens = 8 tens, which is 80.

What is 10 more than a number?

Add 1 to the tens digit and keep the ones digit. 10 more than 64 is 74. 10 more than 95 is 105.

How do you add 100 to a number?

Add 1 to the hundreds digit. 362 + 100 = 462. The tens and ones stay the same.

What grade learns adding multiples of 10?

Grade 1 adds multiples of 10 within 100 (1.NBT.C.4). Grade 2 adds 10 or 100 to 3-digit numbers mentally (2.NBT.B.8).

Why is adding tens important?

It is the first step in mental addition. To add 47 + 36 in your head, add 30 first (77) and then 6 (83).