📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Less Than
1. The problem is to find the number that is 0.2 less than 2800.
2. To find a number less than another number, you subtract the given amount from it.
Sum Decimals
1. The problem asks for the sum of 67.990 and 0.01.
2. To solve, add the two numbers: $$67.990 + 0.01$$
Subtract Fractions
1. نبدأ بطرح الكسرين $$\frac{9}{8} - \frac{2}{7}$$.
2. لإجراء الطرح، يجب إيجاد المقام المشترك الأقل بين 8 و7، وهو 56.
Large Number Sum
1. The problem is to find the sum of the numbers 61, 88, and 55555555555555555555555555.
2. First, add the two smaller numbers: $$61 + 88 = 149$$.
Cost Biscuits
1. **State the problem:** We are given that 6 kg of biscuits cost 27.
We need to find the cost of 13 kg of biscuits.
Mixed Fraction
1. The problem is to convert the phrase "Three whole three upon 4" into a mathematical fraction or mixed number.
2. "Three whole" means 3 as a whole number.
Arithmetic Operations
1. Find the difference $8.4 - 7.35$.
$$8.4 - 7.35 = 1.05$$
Simple Arithmetic
1. State the problem: Calculate the value of the expression $0.75 - 0.15 + 0.15$.
2. Simplify the subtraction and addition step by step:
Subtraction Problems
1. **Stating the Problem:** We will solve each word problem by performing subtraction to find out how many items remain after some have been sold, given away, broken, or lost.
2. *
Shopping Bill
1. We are asked to prepare the bill for Adil's shopping at a sports shop, which includes 1 pair of shorts at 225 RS, 12 table tennis balls at 9.50 RS each, and 5 sports caps at 35.
Diamond Addition
1. Problem: Find the missing inner number of the diamond with top=100, bottom=150, left=150, right=50, and inner=150 already given.
Step 1: The rule for the diamond's inner number
Digit Place Values
1. Let's analyze the number 4,732. The digit 7 is in the hundreds place.
2. The value of the digit 7 in 4,732 is therefore 7 hundreds, which equals $$7 \times 100 = 700$$.
Place Value
1. The problem asks to write the value of each digit in a number up to the millions place.
2. In a number, each digit's value depends on its position from right to left: ones, tens
Division
1. The problem asks us to divide 5726 by 23.
2. We set up the division: $5726 \div 23$.
Attendance Tv Durations
1. Problem 1: Calculate the total number of pupils present in both morning and afternoon sessions.
Step 1: Identify the number of boys and girls in the morning session.
Summations
1. Problem (5): Calculate the sum of money Chung has altogether.
Step 1: Write down the amounts: $1.46$, $2.25$, and $5.40$.
Addition Sum
1. **State the problem:** We need to find the sum of $176 + 126$.
2. **Add the numbers:**
Simple Additions
1. The problem is to find the sum of 48 and 126.
2. We add the two numbers: $$48 + 126 = 174$$.
Basic Sums Buttons
1. Calculate the sum of 18 and 12%.
First, express 12% as a decimal: $$12\% = \frac{12}{100} = 0.12$$
Evaluate Expression
1. State the problem: Evaluate the expression $16003 - 45926 + 321744$.
2. First, calculate $16003 - 45926$:
Fraction Arithmetic
1. First, rewrite the mixed numbers as improper fractions:
$$3\frac{1}{2} = \frac{7}{2}, \quad 1\frac{13}{14} = \frac{27}{14}$$