36 can be shown in more than one way
This number has 3 tens and 6 ones.
36 can be shown with base-ten blocks, written as a numeral, or placed between 30 and 40 on a number line.
Year 2
Identify, represent and estimate numbers using different representations, including the number line
Show the same number in different ways and estimate where it belongs on a number line.
Lesson overview
Number - number and place value
A number can be shown with counted objects, tens rods and ones cubes, or a point on a number line. When we estimate, we make a sensible choice by looking at the numbers around it and deciding where it should go.
Estimate between two known numbers
The marker is between 50 and 60 and sits close to 60.
A sensible estimate is 58 because it is only a little before 60 and well after 50.
24 can be counted and placed
There are 24 counters altogether.
You can count the counters, then match that quantity to 24 on a number line.
Worked example
What number is shown by the base-ten blocks and where would it go on the number line?
- Count the tens rods first. There are 4 tens, which means 40.
- Count the ones cubes next. There are 7 ones, which means 7.
- 40 and 7 make 47.
- On a number line from 40 to 50, 47 is after 46 and before 48.
- So the number is 47.
Try it
Look carefully at each representation before you answer.
Question 1
Question 2
Question 3
Question 4
Question 5
Common mistakes
Watch for these when you read or estimate a number.
- Counting one by one when the tens rods already show full groups of ten.
- Placing a number on the wrong side of a landmark such as 50 or 60.
- Guessing wildly on a number line instead of using the numbers at each end.
Related topics
These ideas fit closely with representing and estimating numbers.
- Recognise the place value of each digit in a two-digit number.
- Compare and order numbers from 0 up to 100; use <, > and = signs.
- Read and write numbers to at least 100 in numerals and in words.