Grade Six Mathematics
Activity 21)
Fractions Expanded Notation – Exercise 1
1. 1x10,000 + 2x 1000 + 2x 100 + 3x 10 + 2x1 2. 3x100 + 8x 10 + 5x1
3. 9x 1000 + 7x 100 + 6x 10 + 3x1
4. 2x 10 + 6x1
5. 1x10,000 + 1x 1000 + 1x 100 + 2x 10 + 2x1 6. 2x 10,000 + 1x 1000 + 6x 100 + 2x 10 + 1x 1 7. 3x 1000+ 2x100 +3x 10 + 7x1
8. 1x 1000 + 6x100 + 5x 10 + 5x 1
9. 2x1000 + 6x100 +2x10 + 2x1
10. 6x10 + 3x1
Exercise 21. ones.
2. 593= 500+90+3= Five hundreds, nine tens and three ones.
3. 4421= 4000+400+20+1= Four thousands, four hundreds, two tens and one.
4. 9437= 9000+400+30+7= Nine thousands, four hundreds, three tens and seven ones.
5. 74245= 70,000+4000+200+40+5= Seventy four thousands, two hundreds, four tens and five ones.
725= 700+20+5= Seven hundreds, two tens and five
Hello boys and girls,
Welcome back to our Math corner. I trust that you had a productive week. This week we will be looking at the topic ‘Fractions,’ where we will be examining its concepts, along with examples and solving problems. Let’s get started.
Fractions
Fractions represent equal parts of a whole or a collection. When we divide a whole into equal parts, each part is a fraction of the whole. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator. It shows the total divisible number of equal parts the whole can be divided into, or the total number of equal parts which are there in a collection.
The top number says how many slices we have. The bottom number says how many equal slices the whole pizza was cut into.
Are you following? Let’s see if you truly understand the concept so far.
Activity 1
Write the fraction for the shaded part of each shape.
Good job, boys and girls! Lets move on.
Types of fractions
In Math, there are three major types of fractions.
1 - Proper Fraction
A fraction where the numerator is less than the denominator is known as a proper fraction. E.g., ¾, ½ …
2- Improper Fraction
A fraction where the numerator is greater than the denominator known as an improper fraction. E.g., 3/
2 , 6/ 4 … is
3- Mixed Fraction/Mixed Numbers
A mixed fraction is the combination of a natural number and fraction. It can be converted into an improper fraction. E.g., 2 ½, 5 ¾
Converting mixed fractions to improper fractions.
Did you know that we can convert mixed numbers to improper fractions?
Here’s how:
Step 1 - Multiply the whole number by the denominator. Step 2 - Add the answer from Step 1 to the numerator.
Step 3 - Write the answer from Step 2 over the denominator.
E.g., convert 3
5 9
Step 1: Multiply the denominator (the bottom number in the fraction) and the whole number
9 × 3 = 27
Step 2: Add the answer from Step 1 to the numerator (the top number in the fraction)
27 + 5 = 32
Step 3: Write the answer from Step 2 over the denominator = 32
9
Simple right? I know…
Now let’s do the opposite.
Converting improper fractions to mixed numbers
1. Divide the numerator by the denominator.
2. Write down the whole number part of the quotient.
3. Take the remainder and write it over the original denominator.