Math Problem Statement

can you complete these exercises for me

Can you complete these exercises for me?

Solution

Let's go through each of the questions step-by-step.

Question 1:

Evaluate the following: 25.622.5×1.325.62 - 2.5 \times 1.3

First, calculate the multiplication: 2.5×1.3=3.252.5 \times 1.3 = 3.25

Then subtract from 25.62: 25.623.25=22.3725.62 - 3.25 = 22.37

Answer for Question 1:
22.3722.37

Question 2:

Evaluate the following: 6.25+0.5(2.1)26.25 + 0.5 - (2.1)^2

First, square 2.12.1: 2.12=4.412.1^2 = 4.41

Then perform the addition and subtraction: 6.25+0.5=6.756.25 + 0.5 = 6.75 6.754.41=2.346.75 - 4.41 = 2.34

Answer for Question 2:
2.342.34

Question 3:

Order these numbers from least to greatest: 611,6.34,6.337\frac{6}{11}, 6.34, 6.337

Let's convert the fraction into a decimal: 6110.5455\frac{6}{11} \approx 0.5455

Now we can compare the numbers: 0.5455,6.34,6.3370.5455, 6.34, 6.337

Answer for Question 3 (ordered from least to greatest): 611,6.34,6.337\frac{6}{11}, 6.34, 6.337

Question 4:

Order these numbers from least to greatest: 1710,300,17.3,926\frac{17}{10}, \sqrt{300}, 17.3, \frac{9}{26}

Let's approximate the values: 1710=1.7,30017.32,17.3,9260.346\frac{17}{10} = 1.7, \quad \sqrt{300} \approx 17.32, \quad 17.3, \quad \frac{9}{26} \approx 0.346

Now, arrange them: 0.346,1.7,17.3,17.320.346, 1.7, 17.3, 17.32

Answer for Question 4 (ordered from least to greatest): 926,1710,17.3,300\frac{9}{26}, \frac{17}{10}, 17.3, \sqrt{300}

Let me know if you would like further details or have any questions! Here are a few related questions for further practice:

  1. How would you calculate 400\sqrt{400}?
  2. What is the result of 8.753.5×2.18.75 - 3.5 \times 2.1?
  3. How would you simplify the fraction 920\frac{9}{20} into a decimal?
  4. Compare these numbers: 2.5,2.25,732.5, 2.25, \frac{7}{3}.
  5. How would you calculate the value of (1.5)2+2.4(1.5)^2 + 2.4?

Tip: When dealing with fractions and decimals, try converting all numbers to the same form (either fractions or decimals) for easier comparison.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Operations
Exponentiation
Order of Numbers
Decimal to Fraction Conversion

Formulas

a × b = c (multiplication)
a - b = c (subtraction)
(a)^2 = b (squaring)
Decimal to fraction: numerator/denominator
Square root calculation: √a

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8