📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Division Two Digit
1. **Stating the problem:** We need to divide the given three-digit numbers by the two-digit divisors using long division.
2. **Formula and rules:** Division is the process of find
Division 74
1. **State the problem:** We need to divide the given dividends by their respective divisors using long division, similar to Kumon Level D.
2. **Recall the division formula:** For
Erasers Division
1. **Problem statement:** Gilberto and his two sisters have a total of 115 erasers. They want to divide these erasers equally among the three of them and give any leftover erasers
Evaluate Expression
1. **State the problem:** Calculate the value of the expression $2 + 2_3 \times 4 \div 5 + 10$. Note that the underscore is likely a typo or formatting error, so we interpret the e
Sum All Numbers
1. **Stating the problem:** We are given a list of numbers and asked to find the sum of all these numbers.
2. **Formula used:** The sum of a list of numbers $x_1, x_2, \ldots, x_n$
Sum Numbers
1. **Stating the problem:** We need to find the sum of all the numbers provided in the list.
2. **Formula used:** To find the sum of a list of numbers $x_1, x_2, \ldots, x_n$, we u
3D Practice
1. **Estimate and evaluate simple additions and subtractions:**
- a) Estimate $20.1 + 2.1 \approx 20 + 2 = 22$.
Fraction Addition
1. Let's clarify the problem: You mentioned adding $4 + \frac{1}{2}$ and that the fifth circle is $\frac{3}{4}$ shaded.
2. First, calculate the sum $4 + \frac{1}{2}$. To add these,
Children Per Bus
1. **State the problem:** We have 4 buses carrying a total of 112 children. We want to find out how many children fit in 1 bus.
2. **Formula used:** To find the number of children
Fraction Operations
1. **Problem statement:** Add or subtract the given fractions and mixed numbers.
2. **Formula and rules:**
Total Fabric Length
1. **State the problem:** Marty buys 3 pieces of yellow fabric, each 0.35 m long, and 5 pieces of green fabric, each 0.35 m long. We need to find the total length of fabric bought.
Basic Operations
1. Let's start by understanding what you want to calculate. Usually, in math problems, you either multiply, divide, add, or subtract numbers depending on the problem.
2. To decide
Sum One Two
1. The problem is to find the sum of 1 and 2.
2. The formula for addition is $a + b = c$, where $a$ and $b$ are numbers and $c$ is their sum.
Subtraction Sentences
1. The problem asks to write subtraction number sentences based on the given graphs.
2. The subtraction formula is $a - b = c$, where $a$ and $b$ are the numbers at the top connect
Bangla Percentage Problems
1. প্রশ্ন: একটি দোকানে ২৫০০ টাকার একটি পণ্য ২৫% কমে বিক্রয় করা হলে বিক্রয়মূল্য কত হবে? এবং ১০% লাভে বিক্রয় করলে বিক্রয়মূল্য কত হবে?
2. সূত্র:
Number Properties
1. The problem is to understand the number 5 and its properties.
2. Number 5 is a natural number, an integer, and a prime number.
Water Containers
1. **State the problem:** We have a tank holding 5075 litres of water. Each container holds 6 \frac{1}{4} litres. We need to find how many such containers can be filled from the ta
Number Puzzle 431
1. **Problem Statement:** Use the numbers 25, 8, 100, 2, 75, and 50 exactly once each with any operations to reach the target value 431.
2. **Understanding the Rules:**
Number One
1. The problem is to understand the number 1 in a mathematical context.
2. Number 1 is the multiplicative identity, meaning for any number $a$, $a \times 1 = a$.
Time Comparison
1. The problem involves comparing times given in mixed numbers and fractions to determine which is the longest or shortest time.
2. The times given are:
Number Ordering Calculations
1. **Ordering numbers from greatest to least:** The numbers are $2$, $-5$, $|-3|$, $1$, and $-2$.
2. Calculate the absolute value: $|-3| = 3$.