📘 arithmetic

1. The problem involves multiplying decimals: (b) $0.47 \times 5$ and (e) $1.2 \times 4$. 2. For (b), we interpret $0.47$ as 47 hundredths, so multiplying by 5 means $47 \times 5$

1. **Stating the problem:** We are given several numerical expressions to evaluate: - $(106.7)(98.2)$

1. **State the problem:** Simplify the expression $\frac{820}{10}$ using the long division method. 2. **Formula and rules:** Division is the process of determining how many times t

1. The problem is to verify if the subtraction $245879 - 987542$ equals $741663$. 2. The formula for subtraction is $a - b = c$, where $a$ is the minuend, $b$ is the subtrahend, an

1. **State the problem:** Calculate the result of the subtraction $245879 - 987542$. 2. **Formula used:** Subtraction of integers is performed by subtracting the second number from

1. The problem is to simplify the expression $2 - 2$. 2. The subtraction operation means we take 2 and subtract 2 from it.

1. **State the problem:** We need to subtract the mixed numbers $1 \frac{5}{6}$ and $2 \frac{1}{3}$. 2. **Convert mixed numbers to improper fractions:**

1. **State the problem:** Calculate the result of the subtraction $94 - 102$. 2. **Formula used:** Subtraction of integers is performed by subtracting the second number from the fi

1. **Stating the problem:** We need to compare pairs of decimal numbers using inequalities (< or >), determine equality (= or \neq), and order lists of decimal numbers from smalles

1. The problem is to arrange the given numbers in ascending order. 2. The numbers given are: 108, 43, 94, 62, 136, 20, 67, 75, 123, 59, 86, 85, 32, 84, 83, 24, 131, 35, 145, 55, 76

1. The problem involves comparing decimal numbers, ordering them, and writing inequalities or equalities between pairs of decimals. 2. Important rules:

1. The problem is to evaluate the expression $-4$. 2. This is a simple arithmetic expression representing the negative integer four.

1. The problem is to multiply 432 by 61 using lattice multiplication. 2. Lattice multiplication is a method that breaks the multiplication into smaller parts using a grid.

1. **Rounding off the number 728.35** The problem asks to round the number 728.35. Usually, rounding is done to the nearest whole number or decimal place. Here, we will round to th

1. **Stating the problem:** We need to add the mixed numbers $6 \frac{1}{2}$, $5 \frac{2}{7}$, and $4 \frac{1}{5}$.\n\n2. **Convert mixed numbers to improper fractions:**\n- $6 \fr

1. **State the problem:** We want to perform long division to divide 10 by 1.618, which is the approximate value of the golden ratio. 2. **Recall the division formula:** Division i

1. **State the problem:** Calculate $1 \frac{5}{16} + 3 \frac{3}{4}$ and express the answer as a mixed number in simplest form. 2. **Convert mixed numbers to improper fractions:**

1. The problem is to multiply 2 by 25. 2. The multiplication formula is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is the product.

1. The problem is to multiply 2 by 25. 2. The multiplication formula is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is the product.

1. The problem is to convert the number 2 into a percentage. 2. To convert a number to a percentage, multiply it by 100 and add the percentage symbol \%.

1. The problem is to understand factors and multiples, which are fundamental concepts in arithmetic. 2. A factor of a number is an integer that divides the number exactly without l