Solve the Subtraction: Finding the Difference Between 140 and 70

Two-Digit Subtraction with Regrouping Strategy

14070= 140-70=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve a math problem together!
00:07 First, we'll use the distributive law.
00:11 Let's break down one hundred forty, into one hundred, plus forty.
00:20 Now, we'll use the commutative law, to rearrange and make it easier.
00:26 Remember to follow the order of operations, from left to right.
00:35 And that's how we find the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

14070= 140-70=

2

Step-by-step solution

In order to simplify the resolution process, we begin by using the distributive property for 140:

100+4070= 100+40-70=

We then rearrange the exercise using the substitution property into a more practical form:

10070+40= 100-70+40=

Lastly we solve the exercise from left to right:

10070=30 100-70=30

30+40=70 30+40=70

3

Final Answer

70

Key Points to Remember

Essential concepts to master this topic
  • Rule: Break larger numbers into place values for easier calculation
  • Technique: Rearrange 140-70 to (100-70)+40 = 30+40 = 70
  • Check: Add your answer to the subtrahend: 70+70 = 140 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting digits in wrong order
    Don't subtract 140-70 as (4-7) in the tens place = negative number confusion! This happens when you subtract larger digits from smaller ones. Always subtract the complete numbers or use place value decomposition like 140 = 100+40.

Practice Quiz

Test your knowledge with interactive questions

\( 100-(30-21)= \)

FAQ

Everything you need to know about this question

Why break 140 into 100+40 instead of just doing 140-70 directly?

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Breaking numbers into place values makes subtraction clearer! When you see 140-70, you can rearrange it as (100-70)+40, which gives you easy mental math: 30+40=70.

Can I solve this without the rearranging step?

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Absolutely! 140-70=70 works perfectly. The rearranging method is just one strategy to help when direct subtraction feels tricky.

What if I get confused about which number to subtract from which?

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Remember: in 140-70, you're taking away 70 from 140. Think of it as "I had 140, I gave away 70, how much do I have left?"

How do I check if my subtraction is correct?

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Use addition to check! Take your answer and add it to the number you subtracted: 70+70=140. If you get the original number, you're right!

Why does the explanation use 100-70 instead of 140-70?

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It's using the distributive property to make calculation easier. Since 140=100+40, we can write 140-70 as (100+40)-70 = 100-70+40.

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