📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Pole Taller
1. The problem asks: By how much is the pole taller than Pushkar?
2. To find the difference in height, subtract Pushkar's height from the pole's height.
Multiply Mixed Numbers
1. The problem is to multiply the mixed numbers $-3 \frac{1}{4}$ and $2 \frac{2}{3}$.
2. Convert each mixed number to an improper fraction.
Simple Subtraction
1. The problem asks us to compute the result of subtracting $800016.00$ from $1257801.34$.
2. To solve this, we align the numbers by their decimal points and subtract:
Add Numbers
1. The problem is to add the numbers 506065.00, 341906.69, 219516.18, 126456.24, and 63857.23.
2. Write down the numbers vertically to add them easily:
Basic Subtraction
1. We are asked to subtract 2084228.46 from 2707290.
2. First, express both numbers without spaces or commas for clarity: $2707290 - 2084228.46$.
Sum Of Numbers
1. The problem is to add the numbers 329, 149.44, 1274103.22, and 480975.80 together.
2. First, align the numbers and add them step-by-step.
Add Large Numbers
1. The problem is to find the sum of $329149.44 + 1274103.22$.
2. Add the two numbers together:
Add Decimals
1. The problem is to add the numbers 416957.62, 800001.60, and 57144.00.
2. Align the numbers by their decimal points and add:
Simple Addition
1. The problem is to find the sum of 2 and 4.
2. Start with the given expression: $2 + 4$.
Number Four
1. Given the expression $4$, the problem is to identify or interpret it as a number.
2. The expression $4$ represents a constant integer.
Addition Sum
1. The problem asks to find the sum of 317 and 98.
2. To solve it, add the numbers directly: $$317 + 98 = 415$$.
Rounding Thousands
1. The problem asks to round each given number to the nearest thousand for the year 2025.
2. The numbers and their rounding are:
Basic Arithmetic
1. **Question 9: Calculate the change received when buying 3 books at 45.75 AED each with a 200 AED note.**
- Total cost = $3 \times 45.75 = 137.25$
Book Change_Distance Juice_Comparison
1. Question 9: Calculate the change received after buying 3 books costing 45.75 each with a 200 note.
Step 1: Find the total cost by multiplying the price of one book by 3:
Sum Large Numbers
1. The problem is to calculate the sum of the two numbers: $100 + 108393981830179174628$.
2. Start by aligning the numbers:
House Price Difference
1. **State the problem:** We need to find the difference between the sale prices of two houses.
2. **Calculate the sale price of the first house:**
Divisibility Mental
1. Check if 486 is divisible by 2.
A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8).
Add Decimals
1. Stating the problem: Calculate the value of the expression $1.8 + \frac{1}{5}$.
2. Convert the fraction to decimal: $\frac{1}{5} = 0.2$.
Simple Addition
1. The problem is to evaluate the expression $9 + (-1)$.
2. Addition of a negative number is equivalent to subtraction, so we rewrite the expression as $9 - 1$.
Ratio Simplification
1. State the problem: Write the ratio $2:5$ as a fraction, a decimal, and a percentage.
2. Interpret the ratio: The notation $2:5$ means 2 parts out of 5 parts in total.
Place Values Sum
1. **State the problem:** Find the sum of the place values of 7 and 8 in the number 78777.
2. **Identify the digits and their places:** The number is 78,777.