📘 arithmetic

1. **State the problem:** We need to find the sum of the mixed numbers $47 \frac{11}{12}$, $23 \frac{13}{18}$, and $33 \frac{3}{8}$. 2. **Convert mixed numbers to improper fraction

1. The problem is to calculate the value of $q := 27 \div 33$. 2. Division is the operation of determining how many times one number is contained within another. Here, we divide 27

1. **Problem Statement:** Arrange the given numbers in ascending order (from smallest to largest). 2. **Given Numbers:** 1.034, 1.5, 0.09, 0.572, 2.18, 3.001, 2.6, 2.0

1. The problem is to find the product of the numbers "man" and "og" and then multiply by 2. 2. Since "man" and "og" are not defined as numbers, we interpret the problem as multiply

1. We are asked to divide 183 by 6. 2. The division problem is: $$6 \div 183$$.

1. The problem is to multiply 0.5 by 58.5. 2. The multiplication formula is straightforward: $a \times b = c$ where $a=0.5$ and $b=58.5$.

1. The problem is to calculate $2$. 2. Since $2$ is a constant number, the value is simply $2$.

1. **State the problem:** We need to divide 3724 by 125. 2. **Formula used:** Division is the process of finding how many times the divisor fits into the dividend. Here, we calcula

1. The problem is to arrange the numbers 14.7, 14.71, and 14.70 in ascending order. 2. To compare decimal numbers, we look at the digits from left to right, starting with the whole

1. **State the problem:** Calculate the product of $6$ and $\frac{2}{3}$. 2. **Formula used:** Multiplication of a whole number by a fraction is done by multiplying the whole numbe

1. The problem is to round the number 28233.25 to the nearest tenth. 2. The rule for rounding to the nearest tenth is to look at the hundredths place (the second digit after the de

1. The problem is to round the number 738733 to the nearest hundred. 2. The rule for rounding to the nearest hundred is to look at the tens digit.

1. The problem is to round the number 90234 to the nearest hundred. 2. The rule for rounding to the nearest hundred is to look at the tens digit (the digit immediately to the right

1. The problem is to round the number 35872 to the nearest thousand. 2. The rule for rounding to the nearest thousand is to look at the hundreds digit (the third digit from the rig

1. The problem is to round the number 3.25 to the nearest tenth. 2. The rule for rounding to the nearest tenth is to look at the hundredths place (the second digit after the decima

1. The problem is to round the number 84.74 to the nearest whole number. 2. The rule for rounding to the nearest whole number is: if the decimal part is 0.5 or greater, round up; i

1. The problem asks to write the value of each underlined digit in the given numbers. 2. The value of a digit depends on its place in the number. For example, in 5094, the digit 5

1. **State the problem:** We need to compare pairs of numbers using the symbols $>$, $<$, or $=$. 2. **Recall the comparison rules:**

1. The problem asks to convert numbers between standard form, expanded form, and English or Chinese words. 2. For part (a), the expanded form of 349007.9 means writing it as the su

1. Represent each number in standard form or expanded form. 1.a) Write 349007.9 in expanded form.

1. The problem asks to compare pairs of numbers using the symbols >, <, or =. 2. To compare numbers, we look at their digits from left to right: