# Quick Subtraction Strategies Back Through 10

# Quick Subtraction Strategies Back Through 10

Quick Subtraction Strategies Back Through 10 is a fundamental math skill that helps students quickly subtract numbers from 10 or multiples of 10. These strategies are useful for mental math calculations and building a strong foundation in arithmetic. Here are some subtraction-back-through-10 for subtracting numbers back through 10:

**Counting Backward:**- Start with the larger number and count backward to reach 10.
- For example, to subtract 7 from 10, count backward: 10, 9, 8, 7. The answer is 3.

**Use Number Bonds:**- Visualize the number bonds of 10. For example, 10 can be split into 7 and 3 or 6 and 4.
- To subtract 7 from 10, think of it as taking away 3 from 10, resulting in 3.

**Use Complements of 10:**- Recognize that numbers that add up to 10 are complements. For example, 7 and 3 are complements because 7 + 3 = 10.
- To subtract 7 from 10, use the complement concept and subtract 3 from 10, which equals 7.

**Counting Up:**- If subtracting a number that’s larger than the starting number, you can count up from the smaller number to the larger number.
- For example, to subtract 8 from 10, start at 8 and count up: 8, 9, 10. The answer is 2.

**Use a Number Line:**- Draw a number line with 10 as the endpoint and count backward or forward to perform the subtraction.
- For example, to subtract 6 from 10, start at 10 and move 6 units to the left on the number line.

**Mental Math Techniques:**- Break down the subtraction into smaller steps. For example, to subtract 7 from 10, subtract 1 first (10 – 1 = 9), and then subtract 6 from 9 (9 – 6 = 3).

Practice these strategies regularly to become more proficient at Quick Subtraction Strategies Back Through 10. As you become more confident with these techniques, you’ll be able to perform mental math calculations quickly and accurately.

“Back through 10” Quick Subtraction Strategies are techniques that involve subtracting numbers by regrouping or borrowing to make the process easier. Here are 10 quick subtraction strategies that involve subtracting numbers by going back through 10:

## How do you make a 10 Quick Subtraction Strategies Back Through 10

**Splitting Numbers:**Break down one or both of the numbers into parts that are easier to subtract.**For example,**to subtract 47 – 25, you can subtract 20 from 47 first, getting 27, and then subtract the remaining 5 to get 22.**Using Friendly Numbers:**Round one or both numbers to a friendly number that is easier to work with. For example, to subtract 48 – 26, round 48 to 50 and subtract 26 from 50, which is 24.**Count Up:**Start with the smaller number and count up to the larger number. For example, to subtract 9 – 5, start at 5 and count 6, 7, 8, 9. The answer is 4.**Number Line:**Draw a number line and represent both numbers on it. Then move back through 10 to make the subtraction easier. For example, to subtract 43 – 17, start at 43 on the number line and move back to 33, then subtract 10 more to get 23.**Use Complements:**Find the complement of one number to the nearest multiple of 10. For example, to subtract 68 – 37, find the complement of 37 to 40, which is 3, and subtract that from 68 to get 65.**Cross-Out Method:**Write both numbers vertically and subtract the digits from right to left. If you can’t subtract the digits directly, borrow from the tens place. For example, to subtract 64 – 28, start with the ones place (4 – 8), which requires borrowing from the tens place to get 14 – 8 = 6. Then, subtract the tens place (6 – 2) to get 4.**Use Mental Math:**Mentally subtract 10 from one number and add the difference to the other number. Repeat if necessary. For example, to subtract 79 – 38, mentally subtract 10 from 79 and add 10 to 38, making it 69 – 48, which is easier to calculate.**Regrouping with Zeros:**If you’re subtracting a number with zeros in it, consider regrouping those zeros. For example, to subtract 600 – 398, think of it as 600 – 300 – 98, which simplifies the calculation.**Estimate First:**Round both numbers to the nearest multiple of 10, subtract, and then adjust for the rounding. For example, to subtract 47 – 28, round 47 to 50 and 28 to 30, subtract to get 20, and then adjust for the rounding difference (3) to get 23.

Quick Subtraction Strategies Back Through 10 These strategies can help make subtraction through 10 quicker and more manageable, depending on the specific numbers you’re working with. Practice with different numbers to become proficient in using these techniques.

# Make Ten Addition Quick Subtraction Strategies?

### Learning Targets Quick Subtraction Strategies:

- I can add and subtract within 10 easily.
- I can add and subtract by making 10. (e.g. 7 + 3 = 10, 10 – 6 = 4)

The following diagrams show the Make Ten Subtraction Strategy. Scroll down the page for more examples and solutions.

**Mental Math Quick Subtraction Strategies Back Through 10: Break Down To 10**

How to use mental Quick Subtraction Strategies Back Through 10 to subtract within 20 using the “break down to 10” strategy?

This is one of the strategies suggested in the Common Core State Standards for Mathematics, 1.OA.6 and 2.OA.2.

With practice, this **Quick Subtraction Strategies** can help students gain fluency when subtracting within 20. Eventually students will memorize these facts, which is expected by the end of grade 2.

**Example:**

14 – 9 = 14 – 4 – 5 = 10 – 5 = 5

15 – 7 = 15 – 5 – 2 = 10 – 2 = 8

17 – 8 = 17 – 7 – 1 = 10 – 1 = 9

**Make 10 Quick Subtraction Strategies Back Through 10**

**Example:**

11 – 6 = 11 – 1 – 5 = 10 – 5 = 5

13 – 9 = 13 – 3 – 6 = 10 – 6 = 4

17 – 8 = 17 – 7 – 1 = 10 – 1 = 9

14 – 7 = 14 – 4 – 3 = 10 – 3 = 7