Subtract 6 from Units Digit: Transforming the Number 958

Q: What exactly is the units digit?

The units digit is the rightmost digit in any whole number. In 958, the units digit is 8. It represents how many ones you have in the number.

Q: Do the other digits ever change in this type of problem?

In this problem, only the units digit changes. The hundreds digit (9) and tens digit (5) stay exactly the same. We go from 958 to 952.

Q: How do I remember which digit is which?

Use this memory trick: Units, Tens, Hundreds - count from right to left! The rightmost is always units, then tens, then hundreds. In 958: 8 is units, 5 is tens, 9 is hundreds.

Place Value Operations with Digit Replacement

Subtract the units digit in the number 958 by 6.

What is the new number?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Subtract the units digit in the number 958 by 6.

What is the new number?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the units digit of the number 958.
Step 2: Subtract 6 from this units digit.
Step 3: Compose the new number with the resulting units digit and the unchanged other digits.

Now, let's work through each step:
Step 1: The number 958 has the units digit 8.
Step 2: We subtract 6 from the units digit 8: $8 - 6 = 2$ .
Step 3: Replace the units digit of 958 with 2, resulting in the new number 952.

Therefore, the new number after subtracting 6 from the units digit is $952$ .

Final Answer

$952$

Key Points to Remember

Essential concepts to master this topic

Units Digit: The rightmost digit determines the ones place value
Technique: Calculate $8 - 6 = 2$ then replace original units digit
Check: New number 952 has units digit 2, other digits unchanged ✓

Common Mistakes

Avoid these frequent errors

Subtracting from the entire number instead of just the units digit
Don't subtract 6 from 958 to get 952! This gives the right answer by accident but shows wrong understanding. The hundreds and tens digits (9 and 5) should stay exactly the same. Always identify the units digit first, perform the operation on that digit only, then replace it in the original number.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

What exactly is the units digit?

The units digit is the rightmost digit in any whole number. In 958, the units digit is 8. It represents how many ones you have in the number.

What if subtracting gives me a negative number?

Great question! If the units digit is smaller than what you're subtracting (like 3 - 6), you'd need to borrow from the tens place, just like in regular subtraction. This changes multiple digits!

Do the other digits ever change in this type of problem?

In this problem, only the units digit changes. The hundreds digit (9) and tens digit (5) stay exactly the same. We go from 958 to 952.

How do I remember which digit is which?

Use this memory trick: Units, Tens, Hundreds - count from right to left! The rightmost is always units, then tens, then hundreds. In 958: 8 is units, 5 is tens, 9 is hundreds.

What if the problem asked me to add instead of subtract?

The same process applies! Find the units digit, perform the addition (like $8 + 6 = 14$ ), but remember: if you get a two-digit result, you'll need to carry the 1 to the tens place.

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