Mental Math

Grade 3 ยท mathematics ยท 92 practice problems ยท read aloud

๐Ÿ”Š Listen to this explanation

๐Ÿง  Mental Math: Doing Math in Your Head!

Mental math is solving problems without using paper, a pencil, or a calculator. It's a super useful skill for quick calculations in everyday life, like figuring out if you have enough money for a toy or how many cookies are left in the jar!

How to Solve Problems Step-by-Step

  1. Look at the problem. Identify the numbers and the operation (like + or -).
  2. Break numbers apart. Make them into friendlier numbers that are easier to work with.
  3. Solve step by step. Add or subtract the parts you broke apart.
  4. Put it back together. Combine your answers to find the final solution.

Visual Examples

Example 1: 36 + 25

  1. Break 25 into 20 and 5.
  2. First, add the tens: 36 + 20 = 56.
  3. Next, add the ones: 56 + 5 = 61.
  4. So, 36 + 25 = 61.

Example 2: 74 - 30

  1. This one is easy! 74 has 7 tens, and 30 is 3 tens.
  2. Subtract the tens: 7 tens - 3 tens = 4 tens (or 40).
  3. The ones place stays the same: 4.
  4. So, 74 - 30 = 44.

โš ๏ธ Common Mistakes to Avoid

  • Forgetting to regroup: When adding 58 + 35, remember that 8 + 5 is 13. That's 1 ten and 3 ones, so don't forget to add that extra ten!
  • Rushing: Go step-by-step. If you go too fast, you might mix up the tens and ones places.

๐Ÿ’ก Tips & Tricks

  • Use "Friendly Numbers": Numbers that end in 0 (like 10, 20, 30) are easier to add and subtract.
  • Doubles are your friend: Remember your doubles facts! 6+6=12, 7+7=14. They can help you solve nearby problems like 6+7.
  • Count on or count back: For subtraction like 15-4, just count back 4 from 15 in your head: 14, 13, 12, 11.

Practice Makes Perfect!

Here's how you can practice:

  • Flashcards: Practice addition and subtraction facts up to 20 until they are super fast!
  • Real-World Problems: At the store, ask yourself, "If this costs $12 and I have $20, how much change will I get?"
  • 5-Minute Drills: Every day, try to solve 10 mental math problems in 5 minutes.

You can do it! The more you practice, the faster and better you'll become. ๐Ÿš€

Practice problems

6 of the 92, worked through step by step โ€” try them before opening the answer.

1 324 + 187 = ?

Hint: Add the ones place first, then the tens place, and finally the hundreds place. Remember to carry over when the sum in a column is 10 or more.

Show the answer

Answer: 511

  1. Write the numbers vertically, aligning the ones, tens, and hundreds places.
  2. Add the ones column: 4 + 7 = 11. Write down the 1 in the ones place and carry over the 1 to the tens column.
  3. Add the tens column: 1 (carried over) + 2 + 8 = 11. Write down the 1 in the tens place and carry over the 1 to the hundreds column.
  4. Add the hundreds column: 1 (carried over) + 3 + 1 = 5. Write down the 5 in the hundreds place.
  5. The final answer is 511.

2 598 + 125 = ?

Hint: Try rounding one number to make it easier to add mentally, then adjust your answer.

Show the answer

Answer: 723

  1. Notice that 598 is very close to 600.
  2. Add 600 + 125 = 725.
  3. Since we added 2 extra (600 - 598 = 2), subtract 2 from the result.
  4. 725 - 2 = 723.

The answer is 723.

3 198 + 245 = ?

Hint: Try adjusting one number to make it easier to work with, then compensate for the adjustment.

Show the answer

Answer: 443

  1. Notice that 198 is very close to 200.
  2. Add 200 + 245 = 445.
  3. Since we added 2 extra (200 instead of 198), subtract 2 to compensate: 445 - 2 = 443.

The answer is 443.

4 497 + 156 = ?

Hint: Try rounding one number to a nearby hundred to make the addition easier, then adjust your answer.

Show the answer

Answer: 653

  1. Notice that 497 is very close to 500.
  2. Add 500 + 156 = 656.
  3. Since we added 3 extra (500 - 497 = 3), subtract 3 from the result.
  4. 656 - 3 = 653.

The answer is 653.

5 497 + 125 = ?

Hint: Try rounding one number to make it easier to add mentally, then adjust your answer.

Show the answer

Answer: 622

  1. Notice that 497 is very close to 500.
  2. Add 500 + 125 = 625.
  3. Since we added 3 extra (500 - 497 = 3), subtract 3 from the result.
  4. 625 - 3 = 622.

The answer is 622.

6 398 + 175 = ?

Hint: Try rounding one number to the nearest hundred to make the addition easier, then adjust your answer.

Show the answer

Answer: 573

  1. Notice that 398 is very close to 400.
  2. Add 400 + 175 = 575.
  3. Since we added 2 extra (400 - 398 = 2), subtract 2 from the result.
  4. 575 - 2 = 573.

The answer is 573.

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