Grasp Maths

Year 3

Solve number problems and practical problems involving these ideas

Use counting and place-value understanding to solve one-step and two-step number problems.

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Lesson overview

Number - number and place value

Place value helps us solve practical problems efficiently. Instead of counting from the beginning, we can use what we know about hundreds, tens and ones to choose the right answer.

A missing number problem

A number has 5 hundreds, 2 tens and 6 ones. The number is 526.

Hundreds500
Tens20
Ones6

Build the number from its place-value parts.

10 more in a context

There are 241 books on a shelf. 10 more books are added. Now there are 251 books.

Use place value to adjust the number instead of counting one by one.

Choose the greatest number

A prize number needs the greatest value from 438, 483 and 348. The best choice is 483.

Compare the hundreds first, then the tens.

Worked example

A number is 100 more than 372. What is the number?

  1. Look at the hundreds digit in 372.
  2. Adding 100 means adding one more hundred.
  3. 3 hundreds become 4 hundreds, while the tens and ones stay the same.
  4. So the new number is 472.

Try it

Pick out the place-value idea in the problem first, then solve it.

Question 1

Which number has 4 hundreds, 7 tens and 3 ones?

Hundreds400
Tens70
Ones3
Question 2

A bus has 286 passengers over a week. 10 more travel the next week. How many is that?

Question 3

What number is 100 less than 645?

Question 4

Which is the greatest number?

Question 5

Which statement is correct?

Common mistakes

Watch for these when working through the lesson.

  • Ignoring the place-value clue in the question.
  • Changing the wrong digit when adding 10 or 100.
  • Comparing only part of the number.

Related topics

These ideas fit closely with this lesson.

  • Find 10 or 100 more or less than a given number.
  • Compare and order numbers up to 1000.

Practice next

Independent practice will plug in here

This lesson introduces the idea clearly first. Deeper adaptive practice can sit here later.