📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Simple Addition
1. The problem is to find the sum of 1 and 1.
2. Addition is the process of combining two numbers to get their total.
Multiplication Estimates
1. **Problem:** Calculate the products and estimate ranges for the following multiplications:
2. **Calculate $24.09 \times 12.57$:**
Year 4 Fraction
1. The problem asks for the fraction of students in Year 4 compared to the total number of students in the school.
2. First, find the total number of students by adding all the stu
Multiply Numbers
1. The problem is to calculate the product of 5, 4, and 4.
2. Multiply the first two numbers: $5 \times 4 = 20$.
Division Multiplication
1. **State the problem:** Calculate the value of the expression $\frac{2.9}{0.3} \times 16.5$.
2. **Divide 2.9 by 0.3:**
Fraction Operations
1. The problem involves multiple fraction and mixed number operations, percentage calculations, ordering numbers, and word problems.
2. Calculate each fraction/mixed number express
Multiplication Division
1. Calculate $0.25 \times 2.5 \times 2.5 \times 0.005$.
$$0.25 \times 2.5 = 0.625$$
Cake Ingredients
1. The problem states that Miss Liza needs 20g of sugar and 20g of butter to bake one cake.
2. We are given 1.2kg of sugar. First, convert 1.2kg to grams: $$1.2 \text{ kg} = 1.2 \t
Multiply 44
1. The problem is to calculate the product of 44 and 44.
2. We multiply the two numbers: $$44 \times 44$$.
Number One
1. The problem is to understand the number 1 in a mathematical context.
2. The number 1 is the multiplicative identity, meaning for any number $a$, $a \times 1 = a$.
Fraction Operations
1. Problem: A farmer cultivated Maize on $\frac{2}{4}$ of his land and Beans on $\frac{3}{5}$. Find the sum of the total area cultivated.
Step 1: Simplify $\frac{2}{4}$ to $\frac{1
Fraction Operations
1. Problem: Find the sum of the land areas cultivated with Maize and Beans.
Maize area = $\frac{2}{4} = \frac{1}{2}$, Beans area = $\frac{3}{5}$.
Multiply Breaking
1. The problem is to multiply 35 by 15 using the breaking down method.
2. Break down 35 into 30 + 5.
Multiply 35 15
1. The problem is to multiply 35 by 15.
2. We can write this as $35 \times 15$.
Popcorn Boxes
1. **State the problem:** We have 1,450 kernels of unpopped popcorn in a pound. Each small popcorn box holds 130 popped kernels. We want to find how many boxes are needed if all bo
Division By Ten
1. The problem asks us to compute the division of 75,000 by 10.
2. Division means splitting a number into equal parts. Here, we want to split 75,000 into 10 equal parts.
Division Remainder
1. **State the problem:** We need to find the quotient and remainder when dividing 853 by 53.
2. **Perform the division:** Divide 853 by 53.
Simple Addition
1. The problem is to find the sum of 2 and 2.
2. We add the two numbers: $2 + 2$.
Sum Percentage
1. **State the problem:** Find the percentage of the sum of the numbers 3.29, 2.94, 2.97, 1.50, and 2.14.
2. **Calculate the sum:**
Decimal Point
1. The problem is to determine if the expression 4.3/4 uses a decimal point or a fraction bar.
2. The expression 4.3/4 can be read as "four point three divided by four".
Simple Multiplication
1. The problem is to solve the equation $4)1$, which seems to be a typographical error or unclear expression.
2. Assuming you meant to solve $4 \times 1$, the solution is straightf