📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Cake Sharing
1. **Stating the problem:** Four children share $\frac{3}{8}$ of a big cake equally. We need to find what fraction of the cake each child gets.
2. **Formula used:** When a quantity
Simple Addition
1. **State the problem:** Calculate the sum of 76 and 896675.
2. **Formula used:** Addition of two numbers is given by $$a + b$$ where $a=76$ and $b=896675$.
Divide Decimals
1. **State the problem:** We need to divide 79.87 by -4.9.
2. **Recall the division rule:** Dividing a positive number by a negative number results in a negative quotient.
Division Subtraction
1. The first problem is to find the error and correct the expression $4 - 8$.
2. The expression $4 - 8$ means subtracting 8 from 4.
Multiply Numbers
1. **Stating the problem:** Multiply the numbers 3 and 3.
2. **Formula used:** Multiplication of two numbers is given by $a \times b$.
Simple Division
1. **State the problem:** Simplify the expression $\frac{20}{2}$.
2. **Recall the division rule:** Dividing a number by another means finding how many times the divisor fits into t
Division Simple
1. The problem is to divide 20 by 2.
2. The division formula is $\frac{a}{b}$ where $a$ is the dividend and $b$ is the divisor.
Simple Subtraction
1. **State the problem:** Calculate the result of the expression $27 - 32$.
2. **Recall the operation:** Subtraction means taking away the second number from the first.
Basic Arithmetic
1. Problem 12: Calculate $2000 - 1200$.
Formula: Subtraction of two numbers.
Multiply Decimals
1. The problem is to multiply 3,000 by 0.5000.
2. The multiplication formula is simply $a \times b = c$, where $a=3000$ and $b=0.5000$.
Division Ratios
1. **Problem 6:** Divide 5,264 by 52 and write the quotient and remainder.
2. **Problem 7:** Divide 8,630 by 65 and write the quotient and remainder.
Division Remainders
1. Problem: Divide 30 by 4 and find the remainder.
Formula: When dividing $a$ by $b$, quotient $q = \lfloor \frac{a}{b} \rfloor$ and remainder $r = a - bq$.
Simple Addition
1. The problem is to find the sum of 1 and 1.
2. The formula for addition is $a + b = c$, where $a$ and $b$ are numbers and $c$ is their sum.
Number Estimation
1. The problem is to estimate the number 1710.
2. Estimation involves rounding the number to a nearby value that is easier to work with.
Division Multiplication
1. **State the problem:** Calculate the value of $3000000 \div 100 \times 5$.
2. **Recall the order of operations:** Division and multiplication have the same precedence and are pe
Division Multiplication
1. **State the problem:** Calculate the value of $3000000 \div 100 \times 50$.
2. **Recall the order of operations:** Division and multiplication have the same precedence and are p
Cake Addition
1. **State the problem:** Nike was given 1 whole cake plus \frac{1}{2} pieces of cake, and Mary was given 1 whole cake plus \frac{1}{3} pieces of cake. We need to find the total am
Ribbon Length
1. **Problem:** Racheal bought $\frac{2}{5}$ metre of ribbon and Latifat bought $\frac{3}{4}$ metre of ribbon. Find the total length of the ribbon they bought.
2. **Formula:** To a
Simple Addition
1. The problem is to add two numbers together.
2. The general formula for addition is $a + b = c$, where $a$ and $b$ are the numbers to add, and $c$ is the sum.
Subtraction Word Problems
1. **State the problem:** We have multiple subtraction problems and word problems involving subtraction and division.
2. **Subtraction problems:** To subtract two numbers, subtract
Marker Strip
1. **State the problem:** Peter has 4 boxes of markers. Each box starts with 8 markers, and he adds 1 more marker to each box. We need to complete the strip diagram showing the tot