📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Multiply 90 90
1. The problem is to multiply 90 by 90.
2. Multiplication means adding a number to itself a certain number of times. Here, we add 90 to itself 90 times.
Addition
1. **State the problem:** We need to find the sum of 76 and 67.
2. **Add the numbers:**
Simple Addition
1. The problem is to find the sum of 23 and 4.
2. We add the two numbers: $$23 + 4 = 27$$
Simple Subtraction
1. The problem is to find the value of $24 - 24$.
2. Subtraction means taking away the second number from the first number.
Number 123
1. The problem is to understand the number 123 as a mathematical object or value.
2. The number 123 is a positive integer.
Multiply 79 79
1. The problem is to multiply 79 by 79.
2. We can write this as $79 \times 79$.
Constant Value
1. The problem is to find the value of 26.
2. Since 26 is a constant number, it is already simplified and does not require any further calculation.
Fraction Subtraction
1. **State the problem:** Simplify the expression $3 \frac{1}{4} - \left(5 \frac{1}{2} + 2 \frac{2}{3}\right)$.\n\n2. **Convert mixed numbers to improper fractions:**\n$3 \frac{1}{
Fraction Subtraction
1. The problem is to evaluate the expression $3 \frac{1}{4} - \left(5 \frac{1}{5} + 2 \frac{2}{3}\right)$.\n\n2. Convert the mixed numbers to improper fractions:\n$3 \frac{1}{4} =
Roller Coaster Height
1. **State the problem:** We need to determine which people are tall enough to ride the roller coaster. The minimum height required is $1 \frac{2}{3}$ meters.
2. **Convert mixed nu
Table 2 Position
1. The problem asks: In the multiplication table of 2, at which position does the number 32 appear?
2. The multiplication table of 2 is formed by multiplying 2 by natural numbers:
Square 267
1. The problem asks to square the number 267.
2. Squaring a number means multiplying the number by itself: $$267^2 = 267 \times 267$$.
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}.