📘 arithmetic

1. **State the problem:** You initially bought 10 apples, gave away 2 to the neighbor and 2 to the repairman, then bought 5 more apples and ate 1. We need to find how many apples y

1. The problem is to understand and perform basic arithmetic operations such as addition, subtraction, multiplication, and division. 2. The fundamental formulas and rules are:

1. **State the problem:** Jimmy has various bills and coins from raking leaves and a birthday check. He wants to deposit all this money into his savings account, which already has

1. **State the problem:** Jimmy earned money from raking leaves and received a birthday check. He wants to buy tennis shoes costing 93.48 using only his leaf raking money and birth

1. **State the problem:** Calculate the total amount of money Jimmy has from his bills, birthday check, and change. 2. **Calculate the total from bills:**

1. **State the problem:** John starts with 167 marbles and gives 34 marbles to Jack. We need to find out how many marbles John has left. 2. **Formula used:** To find the remaining

1. The problem is to understand the number 27 and its properties. 2. 27 is a natural number that comes after 26 and before 28.

1. **State the problem:** Latoya worked a total of 79.8 hours over 7 days. We need to find out how many hours she worked each day if the hours were the same every day. 2. **Formula

1. The problem is to understand the number 22.0681 where the digit 6 is underlined. 2. When a digit is underlined in a decimal number, it usually indicates the place value of that

1. The problem asks to round the number 63.715 to the place value of the underlined digit, which is 7. 2. Identify the place value of the underlined digit 7. In 63.715, the digits

1. The problem is to express numbers in decimal point form, which means writing numbers using digits and a decimal point to represent fractions of a whole. 2. The decimal point sep

1. The problem is to find the square of 145, which means calculating $145^2$. 2. The formula for squaring a number $a$ is $a^2 = a \times a$.

1. The problem is to divide 860 by 2. 2. The formula for division is $\frac{a}{b}$ where $a$ is the dividend and $b$ is the divisor.

1. The problem is to divide 820 by 2. 2. The formula for division is $\frac{a}{b}$ where $a$ is the dividend and $b$ is the divisor.

1. **State the problem:** Add the fractions and mixed number: $\frac{1}{3} + \frac{1}{6} + 2 \frac{1}{4}$. 2. **Convert the mixed number to an improper fraction:**

1. The problem is to round a given number to 3 decimal places. 2. The rule for rounding to 3 decimal places is to look at the 4th decimal place.

1. **State the problem:** Round the number 956 to the nearest 100. 2. **Formula and rule:** To round a number to the nearest 100, look at the tens digit.

1. **State the problem:** We need to determine if 37 is a factor of 373. 2. **Recall the definition:** A number $a$ is a factor of another number $b$ if $b$ divided by $a$ results

1. **State the problem:** We need to determine if 23 is a factor of 851. 2. **Recall the definition:** A number $a$ is a factor of $b$ if $b$ divided by $a$ results in an integer w

1. The problem is to round the number 14.2573 to 3 decimal places. 2. The rule for rounding to 3 decimal places is to look at the 4th decimal place.

1. Problem: Evaluate $8\times 3 - 3\times 5 + \dfrac{45}{15}$. 2. Formula and rules: Use the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division evalu