Answer:
The probability to pick a vowel is
Step-by-step explanation:
Probability = Required outcome / All possible outcome
From the question;
the word “Mathematical” is written on individual pieces of paper
We have to count the total numbers of letter present in the word
When we count properly, we have 12 total numbers of letters
The we proceed to count the numbers of vowel
Here are the vowel in the word “Mathematical” :
a, e, a, i, a
The vowels are 5 letters
Probability = Required outcome / All possible outcome
Required outcome = 5
All possible outcome = 12
Probability =
The probability that you pick a vowel is
In the word "Mathematical"
Vowels are "a", "e", "a", "i", "a" from left to right
Consonants are "m", "t", "h", "m", "t", "c", "l"
5 vowels and 7 consonants of total 12 letters
So the probability of picking a vowel is
The repair person paid an amount of interest of $24.
Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Given that,
A repairperson buys a new heavy-duty electric drill with installment payments.
Initial cost of the drill = $300
Number of installment payments made = 6
Total payment for the drill = $324
Amount of interest = Total payment for the drill - Initial cost of the drill
= $324 - $300
= $24
Hence the interest paid is $24.
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Given -
50 times 4 =200
Find out the values of 500 times 400.
To prove
As given in the question
50 times 4 =200
i.e the above also written in the form as follows.
50 × 4 = 200
Now find out for 500 times 400.
500 times 400 is also written in the form as follows .
500 × 400 = 200000
Therefore the 500 times 400 is 200000.
Hence proved
To find 500 times 400 from 50 times 4 =200 : usecommutative, associative properties and place value
500 times 400
There are 3 properties in arithmetic operations that can be applied to arithmetic operations, namely: commutative, associative , and distributive properties
Commutative properties are mathematical operations of two numbers that are exchanged and produce the same results
a + b = b + a = c
a x b = b x a = c
this property applies to addition and multiplication operations.
Associative properties are mathematical operations of 3 numbers by grouping 2 numbers with parentheses and the location of the grouping is exchanged with the result that remains the same
(a + b) + c = a + (b + c) = d
(a × b) × c = a × (b × c) = d
Distributive properties are mathematical operations with 2 different arithmetic operations, by distributing numbers grouped in parentheses.
a × (b + c) = (a × b) + (a × c) = d
In the digit system, the value of a number depends on its place, or position, in the number.
Each digit is different place value.
the place value of the digits in a number: hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths, hundred thousandths
From the task:
use the previous problem (50 times 4 = 200) to help solve 500 times 400.
50 times 4 = 200
in the form of arithmetic operations
50 x 4 = 200
or in place value
5 tens x 4 ones = 2 hundreds
we can use associative and commutative properties
so multiplication can be expressed in an interchangeable form because it has the same value
So to complete 500 x 400:
multiplying the whole numbers first then the zeros
The difference between first number operations and second number operations is the place value unit
500 x 400
= 5 hundreds x 4 hundreds
= 5 x100 x 4 x 100 (there are 4 times of 10)
= (5 x 4 x 10) x 10 x 10 x 10
⇒ (5 x 4 x 10) = from previous problem
= 200 x 10 x 10 x 10
the place value: 12,354,897
place-value patterns
Keywords : place value, digit, number, times , commutative, associative
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