Math Problems: Number Systems, Calculations, and Algebra
Published on May 24, 2026
Solve a variety of math problems including number system conversions, arithmetic calculations, algebraic expressions, and ordering numbers.
Question
Answer
1. Write the number name in Hindu-Arabic number system:
- Number with commas:
(Wait, let’s re-group correctly: ) - Place values:
-
is in the Arab (ten-thousand crore/billion) place? No, let’s use the standard Indian system: -
Arab, Crore, Lakh, Thousand, .
-
- Number Name: Eighty-seven Arab, sixty-four crore, thirty-four lakh, sixty-eight thousand, nine hundred twenty-one.
2. Write the number name in International number system:
- Number with commas:
- Place values:
-
is in the Billions place. -
is in the Millions place. -
is in the Thousands place. -
is the remainder.
-
- Number Name: Fifty-three billion, eight hundred ninety-six million, four hundred sixty thousand, two hundred sixteen.
3. Give three different ways of showing
using
buttons
and
.
- Way 1 (Standard):
buttons of , buttons of , and buttons of .
- Way 2 (Using more tens):
buttons of , buttons of , and buttons of .
- Way 3 (Using more hundreds):
buttons of , buttons of , and buttons of .
4. Calculate using quick method:
5. Arrange in descending order of their values:
In original form:
6. Find the value:
- Parentheses first:
-
- Substitute back into expression:
- Multiplication:
- Addition and Subtraction (left to right):
7. Find the value of
when
- Substitute
into the expression:
- Solve inside the parentheses:
- Multiply by
: