first month review

Say Irrational

100

The Square root of 90 is between what two numbers?

9 and 10

200

rational numbers are numbers.........

can be written as a fraction 

300

4.456456456456456456456456..... is a 

rational number 

400

π  or 22/7 is called a/an ............ number 

irrational

500

Square root of 60 is a/an ................... number that also can be called a 

Irrational ........ Surd

Standard form

100

0.000567 in standard form is ........

5.67 x 10^-4

200

1.41 x 10¹⁰ in full is .........

14,100,000,000

300

89.76 x 10¹²  is in standard form 

true or false 

false

400

write 25.6 billion in standard form 

2.56 × 10¹⁰

500

The mass of an electron is 911 × 10^-33 kg

 Write this number in standard form

The mass of an electron is 9.11 × 10^-31kg

Indices

100

123⁰  is .......

1 

200

write 1/4 as a power of  2

2^-2

300

write 125^-1  as a power of 5 

5^-3

400

Write 0.2 as a power of 5 

5^-1

500

the value of  X^-3 when x=3

1/27

Substituting into Expressions

100

Ahmad thinks of a number , write an expression Ahmad gets when he divide the number by 4, squares the result , then subtracts 5 

(x/4)² -5

200

A rectangle has a length of 2x+4 and a width of x² , write an expression of the area in its simplest form

2x³ +4x²

300

(-2)² is the same as -2²

true or false 

false 

400

Adam thinks of a number write an expression he gets when he cube roots it , multiplies it by 7 then adds 9 

7 cube root of x + 9 

500

A cube has a volume of 27 cm³ , what would be the total length of all the Cube's edge

36 cm

Expressions with Indices

100

q⁴ / q⁴ = 

1

200

simplify 

2w¹²  x 4w⁴ 

8w¹⁶

300

simplify

(4x²)⁴

64x⁸

400

simplify 

2y⁶ / 4y⁸

1/2y²

or

y^-2 / 2

500

simplify this expression 

2x(3x + 4) + 3x(4x - 6)

18x² - 10x