📘 arithmetic

1. The problem is to multiply 27 by 33. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is the product.

1. **State the problem:** We have a 2.4-liter jug of water and cups that each hold 0.3 liters. We want to find out how many cups can be filled from the jug. 2. **Formula used:** To

1. **State the problem:** Lilly has 3 dollars, 3 quarters, 1 dime, 1 nickel, and 3 pennies. We need to find the total amount of money she has. 2. **Recall the values of coins:**

1. **State the problem:** We need to find the total amount of money by adding the given amounts: 3 dollars and 93 cents, 3 dollars and 88 cents, 3 dollars and 33 cents, and 3 dolla

1. The problem asks how dividing a number by 100 affects the position of the decimal point. 2. When you divide by 100, you are dividing by $10^2$.

1. The problem asks: If the decimal moves three places to the left, which operation does that represent and why? 2. When the decimal point moves to the left, the value of the numbe

1. The problem asks: If the decimal moves three places to the left, which operation does that represent and why? 2. When the decimal point moves to the left, the value of the numbe

1. The problem is to understand how dividing a number by 100 affects the position of its digits, specifically the decimal point. 2. When you divide a number by 10, the decimal poin

1. The problem asks how the value of the digit 5 changes from the number 500,000 to the number 0.5. 2. First, identify the place value of 5 in each number:

1. The problem asks: If the decimal moves two places to the right, which operation does that represent and why? 2. When the decimal point moves to the right, the value of the numbe

1. The problem asks how dividing a number by 1,000 affects the position of the decimal point. 2. When dividing by powers of 10, the decimal point moves to the left by as many place

1. The problem asks how multiplying a number by 10 affects the position of the decimal point. 2. When you multiply a number by 10, you are increasing its value by a factor of 10.

1. The problem asks: If the decimal moves three places to the left, which operation does that represent and why? 2. When the decimal point moves to the left, the value of the numbe

1. The problem asks: If the decimal moves one place to the left, which operation does that represent and why? 2. When a decimal point moves one place to the left in a number, the v

1. The problem asks to identify the place and value of the underlined digit 3 in the number 323,849,781, where the 3 is in the one millions place. 2. The place value system assigns

1. **State the problem:** Calculate the sum $6.57 + 0.38 + 16$. 2. **Convert all amounts to the same unit:** Note that 38¢ is $0.38$ dollars.

1. The problem is to find the quotient of 676 divided by 13. 2. The formula for division is:

1. **State the problem:** We want to solve the expression $4 \times \frac{3}{4}$ using multiplication and division. 2. **Recall the rule:** Multiplying a whole number by a fraction

1. **Problem statement:** We are asked to sum the numbers listed under the header "Ziel". 2. **List the numbers:** The numbers given are 30000, 6000, 20000, 50000, 65000, 25000, 14

1. The problem asks us to compare the two whole numbers: 6,779 and 6,778. 2. To compare whole numbers, we look at their digits from left to right.

1. **State the problem:** Compare the two whole numbers 478 and 487 and select the correct comparison symbol (<, >, =). 2. **Recall the rule for comparing whole numbers:**