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Grade 7 Square roots
Transcript of Grade 7 Square roots
The examples below show how squares can be found.
Number Multiplied by itself Square
1 1 x 1= 1
2 2 x 2= 4
3 3 x 3=9
4 4 x 4=16
5 5 x 5=25
6 6 x 6= 36
7 7 x 7=49
8 8 x 8=64
9 9 x 9=81
10 10 x 10= 100
11 11 x 11=121
12 12 x 12=144
13 13 x 13 =169
14 14 x 14=196
15 15 x 15=225 Squared Words!
You'll hear different words used when people talk about squares. e.g.
•Square of a number: 25 is the square of 5
•Squaring a number: multiplying the number by itself
•A squared number: 100 is a square number
•3 squared: 3 squared is 9
•What's the square of 9? The square of 9 is 81
•Perfect square: Perfect square is another term for square number Take a look at page 19. The chart shows the
number of factors of each whole number. One way to describe a number with an odd number of factors is to call it a square number. Look for patterns and relationships in the chart.
*Find the factors of the numbers with two factors. What do you notice? They are prime numbers. Describe the numbers that have an odd number
of factors. Numbers: 4, 9, 25 25- has an odd number of factors One way to model a square number is to draw a square. Examples: This square has area 9
The side length is
or 3 units. We say: A square root of 9 is 3. 7 x 7 = 49
so, When we multiply a number by itself, we square
the number. Squaring and taking a square root are
inverse operations. That is, they undo each other. Find the square of each number.
a) 5 b) 15 c) 32
Work on page 21 & 22