Basic Mathematics

Question 1

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Write nine thousand, eight hundred ten in standard form;

9,810 = 9.81x 10³

Question 2

Multiply 33×7×40

231×40 = 9240

Question 3

Classify 97 as proper or improper fraction.

97= can be classified as a proper fraction

Question 4

Write the prime factors of 56 = Prime factors are 2x2x2x7= 56 or 2³ x 7

Question 5

Simplify 25÷5⋅5+7−3

Using the BODMAS Rule, we divide, multiply, add, and finally subtract. Thus, (25÷5) =5×5 =25, 25 + 7= 32, 32-3 = 29

Question 6

Write 394 as a mixed number.

394 = 394/100 as an improper fraction, which is 3

Question 7

Write 723 as an improper fraction

= 1446/2

Question 8

Multiply 12⋅317 with answer as a proper fraction

= 3804

=3 804/1000

Question 9

Multiply (37)2⋅19

Using BODMAS, multiply what is in brackets first

= 37×2= 74,

74×19

=1406

Question 10

Divide 85÷227 = 0.3744 or

Question 11

Add 723+135 as an improper fraction

= 858

= 1716/2

Question 12

Write0.84 as a reduced fraction 84/100

= After simplifying it becomes 21/25

Question 13

Insert =, <, or > to make a true statement

0.89<720

Question 14

Solve for Z 9=Z6⋅9

9= 54Z,

dividing by 54 both sides gives Z= 0.1667

Question 15

The ratio of cars to people in Nigeria is 420 to 1000. Write the ratio as a fraction in reduced form.

= 420/1000 = 21/50

Question 16

The cost of 18 shares of Fly-by-Night Airline is $87.50. How many shares can you buy with $875.00?

Cost per share is $87.50 divided by 18 = 4.8611,

thus, $875.00 divided by 4.8611 = 180 Shares

Question 17

(−6)2⋅4÷4−3 (7−9)2−4⋅3÷22 =

Applying BODMAS, −12⋅4÷4−3 (7−9)2−4⋅3÷22 = -12 ⋅4÷4−3(-2)2−4⋅3÷22 = -12−3(-2)2−0.5454 = -12+6−0.5454 = −6−0.545454 = -6.5454

Question 18

⌊7−(−3)8−6⌋⌈3+(−8)7−2⌋

Applying BODMAS, [7+24-6] [3-56-2] = [25] [-55] = -1375

Question 19

Danny buys a watch for $255, jeans for $110, and a pair of shoes for $90. He paid for those purchases with his credit card. Danny pays his credit card with his bank account. Danny has a bank account with a balance of $550. How much will the purchase cost? What would Danny’s bank balance be after all debts were paid?

Total Purchases= $255 + $110 + $90 = $455

Bank Balance after paying the debts = $550 – $455 = $95

Question 20

A group of 266 persons consists of men, women, and children. There are four times as many men as children, and twice as many women as children. How many of each are there in the following order of Men, Women, and Children. 38 152 76 Men= 152; Women= 76; Children= 38

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