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🍕 Representing Numbers and Fractions

The same number can wear many costumes — blocks, tens and ones, a spot on a line, or a slice of a whole. Learn to show numbers and fractions in different ways and see how they all connect.

lessons

~20 min

to learn

🔢 Math

subject

Ages 6–12

level

Start the course →

What you’ll learn

Showing NumbersRepresent two-digit numbers as tens and ones using place value and base-ten blocks.Numbers can be shown in many ways that all mean the same thing. Place value splits a two-digit number into tens and ones: 34 is 3 tens (30) and 4 ones. Reading the tens and ones lets you understand and rebuild any number.
Numbers on a LinePlace and compare numbers on a number line using the multiples of ten as signposts.A number line gives each number a spot, with bigger numbers further right. 34 sits between the 30 and 40 signposts, which shows it's more than 30 and less than 40. The multiples of ten act as landmarks for placing and comparing numbers.
Fractions Are Parts of a WholeUnderstand fractions as equal parts of a whole and name halves, thirds, and quarters.A fraction is a fair share of a whole, so all parts must be equal in size. One of two equal parts is a half, one of three is a third, and one of four is a quarter. Different fractions, like one half and two quarters, can even name the same amount.

Questions this course answers

34 is the same as...

The 3 stands for 3 tens (30) and the 4 stands for 4 ones, so 34 is 3 tens and 4 ones.

How many tens and ones are in 25?

The 2 is in the tens place and the 5 in the ones place: 2 tens and 5 ones.

On a number line, where does 34 sit?

34 is bigger than 30 and smaller than 40, so it sits between them.

Which number is bigger, 34 or 43?

43 has 4 tens while 34 has only 3 tens, so 43 is bigger.

For something to be a fraction, the parts must be...

Fractions are fair shares, so every part has to be the same size.

Grounded in trusted sources

Khan Academy Kids
PBS Kids — early math
NAEYC — early math learning
Britannica Kids

Every Wunder lesson is built from real, reputable sources — never invented.

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🍕Equal Parts of Shapes 📏Equivalent Fractions on a Number Line 📈Scaled Picture and Bar Graphs 📈Scatter Plots and Correlation ✏️Showing Addition and Subtraction with Pictures ✏️Showing How You Got Your Answer 🧸Showing Math with Objects and Words 🔍Similar Shapes and Scale Factors

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