📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Simple Addition
1. **State the problem:** Calculate the value of the expression $-13 + 2$.
2. **Recall the rule:** Adding a positive number to a negative number means moving to the right on the nu
Rope Used
1. **Stating the problem:** A rope is $\frac{5}{6}$ metres long. Ravi used $\frac{3}{4}$ metres. We need to find how much rope he used.\n\n2. **Understanding the problem:** The que
Decimal Words Rounding
1. **Write the decimals in words:**
(a) 0.9 is written as "nine tenths" because the digit 9 is in the tenths place.
Sum Numbers
1. **State the problem:** We need to find the sum of the given list of numbers.
2. **List the numbers:** 385.46, 388.71, 255.69, 1725.12, 197.43, 169.48, 349.16, 882.50, 1238.51, 5
Simple Addition
1. The problem is to add two numbers.
2. Addition is the process of combining two numbers to get their total or sum.
Sum Numbers
1. The problem is to find the sum of the given list of numbers:
315.08, 238.18, 370.43, 1715.91, 409.00, 202.68, 189.99, 189.99, 916.08, 430.20, 319.19, 679.20, 223.68, 322.83, 300
Cost Increase
1. **State the problem:** The cost of food for a family increases from 41000 to 45000. We need to calculate the amount of money by which the cost has increased.
2. **Formula used:*
Add Mixed Numbers
1. The problem is to add the mixed numbers $8 \frac{1}{2}$ and $3 \frac{5}{8}$.\n\n2. First, convert the mixed numbers to improper fractions.\n\nFor $8 \frac{1}{2}$: $$8 \times 2 +
Add Mixed Numbers
1. **State the problem:** Add the mixed numbers $2 \frac{2}{3}$ and $3 \frac{1}{2}$.\n\n2. **Convert mixed numbers to improper fractions:**\n$2 \frac{2}{3} = \frac{2 \times 3 + 2}{
Sixty Two Cube
1. Problem: Compute $62^3$.
2. Formula: For any number $a$, $a^3 = a \times a \times a$.
Rounding Numbers
1. **Stating the problem:** We need to round the number 873481 to the nearest ten, hundred, and hundred thousand.
2. **Rounding rules:**
Rounding Ten Thousand
1. **Problem:** Round the number 196725 to the nearest ten thousand.
2. **Formula and rule:** To round to the nearest ten thousand, look at the digit in the thousand's place (the d
Place Value Rounding
1. The first problem asks for the place value of the underlined digit in the expression $3 - 416$. However, no digit is underlined in the expression provided, so we cannot determin
Number Three
1. The problem is to understand the number 3 as given.
2. Since 3 is a single number without any operation, it is already in its simplest form.
Basic Arithmetic
1. Find the value of each of the following.
(a) Calculate $-\frac{3}{7} + (-4)$.
Simple Subtraction
1. **State the problem:** Calculate the value of $1 - 1$.
2. **Recall the subtraction rule:** Subtraction means taking away the second number from the first.
Quiz Equal 67
1. Let's create a quiz with problems where most answers equal 67.
2. Problem 1: Find $x$ if $x + 33 = 100$.
Simple Addition
1. **State the problem:** Calculate the sum of the numbers 14 and 23.
2. **Formula used:** To find the sum of two numbers, use the addition formula:
Order Operations
1. **State the problem:** Calculate the value of the expression $15 + 4 \times 5$.
2. **Recall the order of operations:** According to the order of operations (PEMDAS/BODMAS), mult
One Quarter
1. The problem asks to find \textit{one quarter} of 80 marbles.
2. The phrase "one quarter" means \frac{1}{4} of a quantity.
Simple Addition
1. **State the problem:** Calculate the sum of 39 and 16.
2. **Formula used:** Addition of two numbers is given by $a + b$.