Transform the Number 1456: Calculate the Addition of 100

Q: Why does adding 100 only change one digit?

Because 100 represents exactly 1 hundred! When you add 1456 + 100, you're adding 0 ones, 0 tens, 1 hundred, and 0 thousands. Only the hundreds place changes from 4 to 5.

Q: How do the base-ten blocks help me see this?

The blocks show visual place value! The large squares represent hundreds. Adding 100 means adding 1 more hundred block, so you go from 4 hundred blocks to 5 hundred blocks.

Q: What if I need to add a larger number like 500?

Same process! 500 = 5 hundreds, so you'd add 5 to the hundreds place: $ 1456 + 500 = 1956 $. The hundreds digit changes from 4 to 9.

Q: Does the order matter when adding?

No, addition is commutative! Whether you calculate $ 1456 + 100 $ or $ 100 + 1456 $, you get the same answer: 1556.

Q: How can I double-check my work?

Try counting up from 1456: 1456, 1466, 1476, 1486, 1496, 1506, 1516, 1526, 1536, 1546, 1556. That's 10 steps of +10 each, which equals +100!

Addition with Base-Ten Block Representation

The number 1456 is shown as units below:

If we add one hundred to this number, what will we get?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The number 1456 is shown as units below:

If we add one hundred to this number, what will we get?

Step-by-step solution

To solve the problem of adding one hundred to the number 1456, let's perform a straightforward arithmetic addition:

Starting number: 1456
Number to add: 100

Adding column by column, starting from the right (units place):

Units Place: $6 + 0 = 6$
Tens Place: $5 + 0 = 5$
Hundreds Place: $4 + 1 = 5$ (Here, we carry out the addition of 100)
Thousands Place: $1 + 0 = 1$

This results in the new number:

$1556$

Thus, if we add one hundred to the number 1456, we will get $1556$ .

Final Answer

$1556$

Key Points to Remember

Essential concepts to master this topic

Place Value: Adding 100 increases the hundreds digit by 1
Method: Add column by column: 1456 + 100 = 1556
Check: Count hundreds blocks: 4 + 1 = 5 hundreds ✓

Common Mistakes

Avoid these frequent errors

Adding 100 to the wrong place value
Don't add 100 to the tens place (1456 + 100 = 1466) = wrong answer! This happens when students don't understand that 100 means 1 hundred, not 10 tens. Always identify that 100 goes in the hundreds place.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why does adding 100 only change one digit?

Because 100 represents exactly 1 hundred! When you add 1456 + 100, you're adding 0 ones, 0 tens, 1 hundred, and 0 thousands. Only the hundreds place changes from 4 to 5.

How do the base-ten blocks help me see this?

The blocks show visual place value! The large squares represent hundreds. Adding 100 means adding 1 more hundred block, so you go from 4 hundred blocks to 5 hundred blocks.

What if I need to add a larger number like 500?

Same process! 500 = 5 hundreds, so you'd add 5 to the hundreds place: $1456 + 500 = 1956$ . The hundreds digit changes from 4 to 9.

Does the order matter when adding?

No, addition is commutative! Whether you calculate $1456 + 100$ or $100 + 1456$ , you get the same answer: 1556.

How can I double-check my work?

Try counting up from 1456: 1456, 1466, 1476, 1486, 1496, 1506, 1516, 1526, 1536, 1546, 1556. That's 10 steps of +10 each, which equals +100!

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