a) Identify prime numbers less than ten. Arrange them in descending order to form a number. b) Identify the…

Question

a) Identify prime numbers less than ten. Arrange them in descending order to form a number. b) Identify the second digit in the number formed in (a) and determine its total value. 2. Expand and simpli

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Here are the solutions to the questions:

1. a)

Identify prime numbers less than ten.
The prime numbers less than ten are $2, 3, 5, 7$.
Arrange the prime numbers in descending order to form a number.
Descending order means from largest to smallest: $7, 5, 3, 2$ .
The number formed is 7532.
$\boxed{7532}$
1. b)
Identify the second digit in the number formed in (a).
The number is 7532. The second digit is 5.
Determine the total value of the second digit.
The digit 5 is in the hundreds place.
Its total value is $5 \times 100 = 500$ .
$\boxed{500}$
2.
Expand the expression by distributing the numbers outside the parentheses.
$4(q+6) + 7(q-3) = (4 \times q) + (4 \times 6) + (7 \times q) + (7 \times -3)$ $= 4q + 24 + 7q - 21$
Group like terms.
$= (4q + 7q) + (24 - 21)$
Simplify the expression.
$= 11q + 3$ $\boxed{11q + 3}$
3.
Evaluate the product in the denominator.
$0.025 \times 3.6$
Multiply $25 \times 36$ :
$25 \times 36 = 900$
Count the total number of decimal places in 0.025 (3 places) and 3.6 (1 place). The product will have $3+1=4$ decimal places.
So, $0.025 \times 3.6 = 0.0900 = 0.09$ .
Substitute the product back into the expression.
$\frac{5.4}{0.09}$
Eliminate the decimals by multiplying the numerator and denominator by a power of 10.
To remove two decimal places from 0.09, multiply by 100.
$\frac{5.4 \times 100}{0.09 \times 100} = \frac{540}{9}$
Perform the division.
$\frac{540}{9} = 60$ $\boxed{60}$

A) Identify prime numbers less than ten. Arrange them in descending order to form a number. b) Identify the second digit in the number formed in (a) and determine its total value. 2. Expand and simpli

Step-by-step solution

Identify prime numbers less than ten.

Arrange the prime numbers in descending order to form a number.

Identify the second digit in the number formed in (a).

Determine the total value of the second digit.

Expand the expression by distributing the numbers outside the parentheses.

Group like terms.

Simplify the expression.

Evaluate the product in the denominator.

Substitute the product back into the expression.

Eliminate the decimals by multiplying the numerator and denominator by a power of 10.

Perform the division.

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