📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Fill Operations
1. The problem asks to fill the boxes with operations (+, -, \times, \div) to satisfy the given equalities.
2. For part (a): $4 \ \square \ 4 \ \square \ 4 \ \square \ 4 = 60$.
Multiplication Addition
1. **State the problem:** Given a cross-like number arrangement with vertical numbers 7 (top) and 3 (bottom), and horizontal numbers 3 and 10 (left and right respectively), calcula
Fraction Boys
1. The problem states there are 12 boys and 18 girls in a class. We need to find the fraction of boys in the class.
2. Calculate the total number of students: $$12 + 18 = 30$$.
Sum Durations
1. The problem asks to find the sum of all given durations in hours.\n2. List all numbers: 0.13, 0.08, 3.88, 0.17, 0.08, 1.13, 0.15, 1.00, 0.30, 0.10, 0.27, 1.00, 8.75, 3.92, 0.08,
Sum Guduntilion Plus One
1. The problem asks to find the sum of 1 guduntilion plus 1.
2. We assume "guduntilion" is a large number name similar to "million," "billion," etc., but its exact numeric value is
Simple Addition
1. The problem is to compute the sum of 9 and 1.
2. Addition means combining two numbers to get their total.
Simple Sum
1. State the problem: Compute $1+5$.
2. Interpret: We need to add the integers 1 and 5.
Evaluate Expression
1. The problem is to evaluate the expression $99 + 452 \times 8$.
2. According to the order of operations, multiply first: calculate $452 \times 8$.
Fraction Arithmetic
Problem: Compute $2\frac{1}{5}+\frac{1}{4}-3\frac{1}{5}\times\frac{2}{4}\div2\frac{4}{5}$.\n1. Convert the mixed numbers to improper fractions.\n$2\frac{1}{5}=\frac{11}{5}$.\n$3\fr
Mixed Number Decimal
1. The problem is to convert the mixed number $1 \frac{2}{5}$ to a decimal.
2. Recall that the mixed number consists of a whole part and a fractional part: $1$ plus $\frac{2}{5}$.
Simple Addition
1. The problem asks to add the numbers given as \cdots٥ + ٥.\n
2. The character \cdots indicates continuation or ellipsis, which means the problem is incomplete or the dots represe
Add Mixed
1. **State the problem:** Add the mixed numbers $6 \frac{2}{5}$ and $5 \frac{3}{10}$.\n\n2. **Convert mixed numbers to improper fractions:**\n$6 \frac{2}{5} = \frac{6 \times 5 + 2}
Mixed Number Addition
1. The problem is to add two mixed numbers: $4 \frac{4}{8}$ and $3 \frac{2}{6}$.
2. Convert each mixed number to an improper fraction.
Divide 56 By 007
1. Let's understand the problem: we want to find why dividing 56 by 0.07 results in 800.
2. Division means determining how many times the divisor fits into the dividend. Here, the
Missing Digits Subtraction
1. The problem asks to find the missing digits that complete the subtraction calculations given.
2. For part (a), the subtraction problem shown is:
Basic Calculations
1. Calculate the difference between 983 and 389.
The difference is given by $$983 - 389$$.
Addition Subtraction
1. **Number Walls Completion:**
For each number wall pyramid with bottom row bricks, the numbers above are the sums of adjacent bricks below.
Number Walls Addition
1. **Complete Number Walls:** The rule is each number above equals the sum of the two below it.
For bottom row 13,18,23:
Simple Addition
1. Stated problem: Calculate the sum of 2 plus 2.
2. Add the numbers: $$2 + 2 = 4$$
Fraction Operations
1. Perform the addition $\frac{14}{17} + \frac{11}{17}$.
Since the denominators are the same, add the numerators:
Simple Multiplication
1. Let's start with a simple example calculation suitable for grade 8: calculate $ 7 \times 8 $.\n\n2. Multiply 7 by 8 using basic multiplication: $$ 7 \times 8 = 56 $$.\n\n3. Ther