e When multiplying more than three factors, we can begin by multiplying two of the numbers. This is also known as the Associative Property of Multiplication.

- 2(- 3)(- 4)

MultNegNegOnePar

- a(- b)=a* b

6(- 4)

MultPosNeg

a(- b)=- a * b

- 6* 4

Multiply

-24

f Subtracting a number from a negative number gives an even larger negative number.

- 18-7

SubTerm

Subtract term

-25

g We can rewrite the power as a product. The expression (- 5)^2 tells us to multiply - 5 by itself.

(- 5)^2

PowToProdTwoFac

a^2=a* a

(- 5)(- 5)

MultNegNegTwoPar

(- a)(- b)=a* b

5* 5

Multiply

h To simplify this expression, let's first rewrite it slightly.

- 5^2 = - 1 * 5^2

According to the order of operations, we have to calculate the power before multiplying by the - 1.

-1* 5^2

CalcPow

Calculate power

-1* 25

Multiply

- 25

i The square root of a number is the number that when multiplied by itself results in the number under the square root.

sqrt(b)=a if a^2=b

Therefore, we have to find the number that, when multiplied by itself, gives us 49. From previous parts, we know the following perfect square. 5^2=25 The result of sqrt(49) must therefore be greater than 5. Let's list some perfect squares, starting from 6, to determine the correct value.

a	a * a	a^2
6	6 * 6	36
7	7 * 7	49
8	8 * 8	64
9	9 * 9	81

Since 7 * 7=49, we know that sqrt(49)=7.

Subchapter links

1.1.1 Solving Puzzles in Teams p.6

1.1.2 Investigating the Growth of Patterns p.11-13

1.1.3 Investigating the Graphs of Quadratic Functions p.16-17

Exercise 7 Page 6

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