# Subtracting Up Through Tens Strategy

# Subtracting Up Through Tens Strategy

The “Subtracting Up Through Tens” strategy is a mental math Subtracting Up Through Tens Strategy technique used to subtract numbers by breaking down the subtraction into smaller, more manageable steps. It is particularly useful for subtracting numbers that are close to multiples of ten. This method simplifies the process and helps improve mental arithmetic skills. Here’s how it works:

**Step 1:** Identify the nearest multiple of ten to the larger number in the subtraction problem. This is usually the number with more digits in the tens place.

**Step 2:** Determine how much you need to add to the smaller number to reach the nearest multiple of ten identified in Step 1. This is done by finding the difference between the nearest multiple of ten and the smaller number. Let’s call this value “A.”

**Step 3**: Subtract the value you found in Step 2 (A) from the larger number. This is essentially subtracting “up” to the nearest multiple of ten.

**Step 4:** Now, you have a new subtraction problem where one number is a multiple of ten. Continue with your subtraction as usual, considering the digits in the tens and ones places.

**Step 5:** Finally, subtract any remainder you might have from Step 4 from the result obtained in Step 3.

Here’s an example to illustrate the “Subtracting Up Through Tens” strategy:

**Let’s subtract 47 from 68.**

**Step 1:** Identify the nearest multiple of ten to the larger number (68). In this case, it’s 70.

**Step 2:** Find out how much you need to add to 47 to reach 70 (the nearest multiple of ten): A = 70 – 47 = 23

**Step 3:** Subtract the value from Step 2 (A) from the larger number: 68 – 23 = 45

**Step 4:** Now, you have a new subtraction problem: 45 – 7.

**Step 5:** Complete the subtraction: 45 – 7 = 38

So, 68 – 47 = 38 using the “Subtracting Up Through Tens” strategy.

This method can make subtraction easier, especially for mental calculations, and it’s a valuable tool for developing number sense and mental math skills.

## What is the make 10 Subtracting Up Through Tens Strategy ?

The Make 10 Subtracting Up Through Tens Strategy is when you can turn one number into 10, using compensation to add or subtract that value from the other number in the problem.

This is a key Subtracting Up Through Tens Strategy for the end of first grade and the beginning of second grade. Students develop this skill at around that time, but it may take some students a bit longer for this strategy to “click” in their brains.

Using 10 to add and subtract depends on the ability to see equality and know that 9+6 is the same as 10+5. Students must be able to use compensation, which is knowing that they can take one away from the 6 and give it to the 9 to make 10+5.

Consider it. When you add 8+7, 8+3, 8+4, do you ever think about how 8+2=10 and think how many more there is to get to the sum?

Now that you’ve read this far, do you get a better sense of why using 10 to add is an important skill to develop? Not only can it be used to figure out sing-digit math facts, but it also transfers to multi-digit addition.

## How do you use the take Subtracting Up Through Tens Strategy

The “Take Ten” Subtracting Up Through Tens Strategy, also known as the “Subtracting Up Through Tens” strategy, is a mental math technique used to make subtracting numbers easier, especially when one of the numbers ends in a 9. This strategy involves breaking down a subtraction problem into smaller, more manageable steps. Here’s how it works with an

**example:**

Let’s say you want to subtract 48 from 73 using the “Take Ten” strategy:

**Step 1:** Identify the nearest multiple of 10 to the number you’re subtracting. In this case, it’s 50 (the nearest multiple of 10 to 48).

**Step 2:** Find the difference between the number you’re subtracting (48) and the multiple of 10 you identified (50). This is called the “difference from 10.” In this case, it’s -2 (50 – 48 = -2).

**Step 3:** Subtract the “difference from 10” (which is -2) from the other number (73).

73 – 2 = 71

So, 73 – 48 = 71 using the “Take Ten” strategy.

**Here’s a breakdown of the steps:**

- Identify the nearest multiple of 10 to 48, which is 50.
- Find the difference from 10: 50 – 48 = -2.
- Subtract the difference from 10 from the other number: 73 – 2 = 71.

This strategy makes subtraction easier because it replaces a potentially more challenging subtraction problem (73 – 48) with a simpler one (50 – 48) and then adjusts the result based on the “difference from 10.” This method can be especially helpful for mental math or when you want to perform calculations quickly.