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Final Test 1st trimester

Total questions: 20

Worksheet time: 36mins

Name
Class
Date
1.

1. Convert to scientific notation A. 4,140,000 B. 0.0005

a)

4.14 x 10^6

b)

5 x 10^-4

c)

5 x 10^4

d)

4.14 x 10^-6

2.

2. Write in standard notation A. 2.34 ×1032.34\ \times10^3

(a)  

3.

2. Write in standard notation B. 1.0008×1051.0008\times10^{-5}

(a)  

4.

108 in binary notation

(a)  

5.

1020 in binary notation

(a)  

6.

10011011 in decimal notation is

(a)  

7.

11001010 in decimal notation is

(a)  

8.

Solve this operation using the law of exponents (x6y7x2y)4\left(\frac{x^6y^7}{x^2y}\right)^4

a)

x8y10x^8y^{10}

b)

x6y10x^6y^{10}

c)

x8y24x^8y^{24}

d)

x18y12x^{18}y^{12}

9.

Solve this operation using the law of exponents (3p5q2)(3p4q)2\left(3p^5q^2\right)\left(3p^4q\right)^2

a)

3p10q43p^{10}q^4

b)

27p13q427p^{13}q^4

c)

27p13q327p^{13}q^3

d)

3p13q43p^{13}q^4

10.

Simplify the following questions (1.32×102)×(4.67×103)(1.32\times10^2)\times(4.67\times10^3)

a)

0.61624×1020.61624\times10^2

b)

6.1624×1056.1624\times10^5

c)

61.624×10561.624\times10^5

d)

6.1624×1036.1624\times10^3

11.

Simplify the following expression (4×106)÷(2.1×102)(4\times10^6)\div(2.1\times10^2)

a)

1.9048×1041.9048\times10^4

b)

1.9048×1031.9048\times10^3

c)

19.048×10419.048\times10^4

12.

1100111(2) + 101011(2)

(a)  

13.

11110011(2) – 1100011(2)

(a)  

14.

101011(2) x 1001(2)

(a)  

15.

111011(2) ÷ 101(2)

(a)  

16.

What is 144\sqrt[]{144}  ?

a)

144

b)

144

c)

12

d)

288

17.
√121
a)
12
b)
10
c)
11
d)
3
18.

1253\sqrt[3]{125}

a)

12

b)

6

c)

11

d)

5

19.

Diana learned that the Atlantic Ocean has an area of 4.108×1074.108\times10^7 square miles

while the Indian Ocean has an area of 2.835×1072.835\times10^7 square miles. She wants to

know how much bigger the area of the Atlantic Ocean is compared to the area

of the Indian Ocean.

a)

0.1273×1060.1273\times10^6

b)

1.273×1071.273\times10^7

c)

12.73×10712.73\times10^7

20.

At its closest, the planet Neptune is 4,300,000,000 kilometers away from Earth.

A group of astronauts from Earth wants to make it to Neptune in 20,000 days. If

they travel the same number of kilometers each day, how many kilometers will

they travel each day? Convert both numbers to scientific notation before

solving.

a)

2.15 x 10^5 km/day

b)

1.15 x 10^5 km/day

c)

3.35 x 10^5 km/day

d)

2.15 x 10^4 km/day