📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Place Value Difference
1. Stating the problem: We need to find the difference between the place value of 8 in 83520 and the face value of 6 in 83568.
2. Finding the place value of 8 in 83520: The digit 8
Pyramid Numbers
1. The problem shows a pyramid-like shape with labeled rectangles whose values we want to understand or verify.
2. Let's list the given values in the pyramid from top to bottom:
Column Subtraction
1. The problem displays four subtraction problems arranged in a grid, each showing digits aligned by place value columns labeled Hundreds (H), Tens (T), and Ones (O).
2. Let's solv
Discount Calculation
1. The problem asks to find the final prices after applying a 20% discount to two amounts: 5.99 and 57.
2. To calculate the discount amount, multiply the original price by the disc
Simple Addition
1. We are asked to find the sum of 1 and 5.
2. Adding the two numbers: $1 + 5 = 6$.
Sum Puzzle
1. The problem appears to involve boxes and ovals connected by plus signs with some missing numbers represented by squares (□).
2. From the given information, each line seems to il
Division 939 By 15
1. We are asked to divide 939 by 15 and express the answer as a whole number quotient and a remainder.
2. First, perform the integer division $939 \div 15$ by finding how many time
Simplify Products
1. The problem asks to simplify and evaluate the products $15 \times 9 \times 24 \times 2$ and $27 \times 7 \times 8 \times 5$.
2. Calculate the first product:
Simplify Expression
1. **State the problem:** Simplify the expression $120+(14\times 2)-17-(21\div 7)\times 4-8$.
2. **Calculate each operation step-by-step:**
Evaluate Expression
1. Stating the problem: Calculate the value of the expression $120 + (14 \times 2) - 17 - (21 \div 7) \times 4 - 8$.\n\n2. Evaluate the multiplication inside the parentheses: $14 \
Estimate Multiply
1. We are asked to estimate and then find the exact value of the product $0.34 \times 0.063$.
2. To estimate by rounding both numbers to one significant figure:
Simple Addition
1. The problem is to find the value of $1+1$.
2. Addition combines two numbers to get their total.
Missing Digit
1. **State the problem:** We need to find the missing digit □ in the multiplication:
304
Multiplying Scaled Numbers
1. Given the problem: Calculate $6400 \times 2.7$ using the known multiplication $64 \times 27 = 1728$.
2. Observe that $6400$ can be written as $64 \times 100$ and $2.7$ can be wr
Rounding Numbers
1. The problem asks to round the number 64.9963 to (a) 2 decimal places, and (b) the nearest 10.
2. (a) Rounding to 2 decimal places means we keep two digits after the decimal poin
Rounding Integers
1. The problem is to round the number 14.63 to the nearest integer.
2. To round a number to the nearest integer, look at the digit in the tenths place (the first digit to the right
Simplify Division
1. The problem is to simplify the division of two numbers: $\frac{2170}{10}$.\n2. Division means how many times 10 fits into 2170.\n3. Perform the division: $$\frac{2170}{10} = 217
Hcf Lcm Problems
1. **Problem:** Three bells ring at intervals of 6, 8, and 10 minutes. They ring together at 9:00 a.m. When will they ring together again?
Step 1: Find the Least Common Multiple (L
Number Line Operations
1. The problem asks to find the value of each expression using a number line for question 5.
2. Calculate each part step-by-step:
Soroban Basics
1. Let's understand the Soroban abacus basics.
2. The Soroban abacus uses rods where each has one 'heaven' bead (worth 5) and four 'earth' beads (each worth 1).
Simple Arithmetic
1. **Stating the problem:** Simplify the expressions $2 + 5 - 1$ and $12 - 11\frac{3}{4}$.\n\n2. **Simplify $2 + 5 - 1$: **\nCalculate the sum and subtraction from left to right: \