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Algebra Readiness ยท Unit 1

Mental Addition and Subtraction with Two-Digit Numbers

I canadd and subtract two-digit numbers mentally.

Mental math does not mean guessing or solving instantly. It means changing numbers into parts that are easier to work with in your head.

Learn the Strategies
46 + 28
+2066+874
One problem. Useful mental steps.

Why should I care?

Mental Math Helps You Make Quick Decisions

You may not have paper ready when you are planning an event, checking a budget, counting supplies, or deciding whether you have enough.

๐ŸŽ‰

Plan a Party

Estimate costs, guests, food, and supplies.

๐Ÿ‘•

Manage a Team

Check uniform costs and remaining money.

๐ŸŽค

Work an Event

Track tickets, wristbands, and merchandise.

๐Ÿ“ฆ

Organize Supplies

Know what arrived, what was used, and what remains.

Start here

See the Tens and Ones Inside a Number

Two-digit numbers are made of tens and ones. Seeing those parts gives your brain easier numbers to use.

Tens440
+
Ones77
=47

Important: You do not have to picture blocks every time. The visual helps you understand why breaking apart numbers works.

1

Mental strategy

Break Apart Tens and Ones

I can separate each number into tens and ones.

47 + 26
1

40 + 20 = 60

2

7 + 6 = 13

3

60 + 13 = 73

TRY IT NOW

Break Apart Practice

1 of 5

๐ŸŽ‰ 52 guests + 34 guests

Party guest list52 + 34

Two groups are coming to the party. How many guests are expected altogether?

2

Mental strategy

Add or Subtract in Chunks

I can keep one number whole and move in useful chunks.

68 โˆ’ 24
1

68 โˆ’ 20 = 48

2

48 โˆ’ 4 = 44

TRY IT NOW

Useful Chunks Practice

1 of 5

๐Ÿ“ฆ 76 boxes โˆ’ 31 boxes

Delivery center76 โˆ’ 31

A delivery center had 76 boxes and loaded 31 onto a truck. How many are still inside?

3

Mental strategy

Make a Friendly Number

I can change a number to one that is easier to use.

38 + 27
1

38 needs 2 to reach 40

2

Move 2 from 27 to 38

3

40 + 25 = 65

TRY IT NOW

Friendly Number Practice

1 of 5

๐ŸŽˆ 59 blue + 24 gold

Party decorations59 + 24

How many blue and gold balloons are ready for the party?

4

Mental strategy

Adjust and Compensate

I can round one number, solve, and correct my change.

62 โˆ’ 29
1

Think: 62 โˆ’ 30 = 32

2

We removed 1 too many

3

32 + 1 = 33

TRY IT NOW

Adjust and Compensate Practice

1 of 5

๐Ÿฅค 81 drinks โˆ’ 39 used

Party drink station81 โˆ’ 39

How many drinks remain after guests use 39?

5

Mental strategy

Keep the Same Difference

I can move both numbers the same amount to make subtraction easier.

74 โˆ’ 38
1

Move both numbers up 2

2

76 โˆ’ 40 = 36

TRY IT NOW

Same Difference Practice

1 of 5

๐Ÿ’ณ $67 budget โˆ’ $29 cost

Uniform budget67 โˆ’ 29

How much of the uniform budget remains?

Which strategy should I use?

Let the Numbers Help You Decide

There is not one required mental strategy. Look for a useful feature in the numbers.

Numbers near a ten?Try a friendly number or compensation.
Easy tens and ones?Break apart or use chunks.
Subtracting 8, 9, 18, 19, or 29?Subtract a nearby ten, then correct it.
Still unsure?Choose the method you can explain clearly.

Remember

Being good at mental math does not mean being the fastest person. It means understanding numbers well enough to choose a useful strategy and explain your thinking.

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