📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Number Comparison
1. The problem involves comparing two amounts: 2000 and 2545.10.
2. Since these are plain numbers, we can analyze the difference by subtracting the smaller from the larger.
Multiply Decimal
1. The problem is to multiply 0.0044 by 1000.
2. Multiplying by 1000 means shifting the decimal point three places to the right.
Decimal Division
1. The problem is to divide 0.0044 by 0.0404.
2. Write the division as a fraction: $$\frac{0.0044}{0.0404}$$.
Decimal Addition
1. The problem is to add the two decimal numbers: $0.004$ and $0.0004$.
2. Align the numbers by their decimal points:
Add Same Digits
1. The problem is to add two numbers that have the same digits.
2. When digits are the same, adding them is straightforward: you add each digit in the same place.
Decimal Division
1. The problem is to solve the division $0.004 \div 0.0004$.
2. To simplify, rewrite the division as a fraction: $$\frac{0.004}{0.0004}$$.
Division Mixed Number
1. The problem is to evaluate the expression: 8 divided by 2 and 4/5.
2. First, interpret "2 and 4/5" as the mixed number $2 \frac{4}{5}$.
Basic Division
1. **Tom's baseball cards problem:** Tom had 114 baseball cards and kept 10. So, the number of cards he shared is $$114 - 10 = 104$$.
He shared these 104 cards evenly among 8 frien
Division Fraction
1. The problem asks to divide 3 by 2 and a half.
2. First, convert 2 and a half to an improper fraction: 2 and a half = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2}.
Marbel Comparison
1. সমস্যাটি হলো: রুমির কাছে ৫৭ টি মারবেল এবং রাজুর কাছে ৪৯ টি মারবেল আছে। রুমির মারবেল রাজুর মারবেলের থেকে কতটা বেশি বা কম তা নির্ণয় করতে হবে।
2. রুমির মারবেল সংখ্যা: $57$
Order Operations
1. The problem is to evaluate the expression $20 + 20 \div 2 \times 0 + 5$ without using a calculator.
2. According to the order of operations (PEMDAS/BODMAS), division and multipl
Sum Numbers
1. The problem is to find the sum of the numbers 6, 1, 2, and 5.
2. Add the numbers step-by-step: first, add 6 and 1 to get $6 + 1 = 7$.
Toothpicks Row
1. **State the problem:** We have a row of 3 identical squares made using 10 toothpicks. We want to find how many toothpicks are needed to make a row of 11 such squares.
2. **Analy
Common Division
1. The problem is to understand the concept of common division, which typically refers to division where the divisor is a common factor or a shared number.
2. Division is the proce
Sum Numbers
1. The problem is to find the sum of the given numbers: 219.25, 483.16, 163.09, 252.13, 128.67, 903.98, 25.22, 585.00, 124.21, 245.13, 372.60, 13.55, 320.34, 203.50, 113.63, 172.94
Division Sales
1. Problem c) Calculate $2419 \div 3$.
2. Problem d) Calculate $18205 \div 3$.
Round Off Questions
1. The problem is to understand and practice rounding off numbers to a specified place value.
2. Rounding off means adjusting a number to make it simpler but still close to the ori
Multiply 92 2009
1. The problem is to multiply the numbers 92 and 2009.
2. We use the multiplication operation: $$92 \times 2009$$.
Simple Addition
1. The problem is to find the sum of 5 and 8.
2. Add the two numbers: $5 + 8 = 13$.
Multiply Eighty Eight
1. The problem is to multiply 88 by 88.
2. We can write this as $88 \times 88$.
Simple Addition
1. **State the problem:** Calculate the sum of 1 and 10.
2. **Add the numbers:**