Question

Simplify ${10^2} \times 0.23$?

Answer 1

Hint: In this question, we want to write the given expression in standard form.
The significant figures in a given number:
• In a number less than 1, leading zeroes, in front of non-zero numbers, never count. They are only place holders.
• Non-zero digits always count. Non-zero digits mean 1, 2, 3, ..., 9.
• Zeros between non-zero digits always count. For example 200001
• Zeros at the end of decimal digits always count. For example 210000.
• Zeroes in a whole number only count if there is a decimal after them. For example 4700.

Complete step by step answer:
Write the given expression in standard form.
$ \Rightarrow {10^2} \times 0.23$
First, let us take${10^2}$.
Here, the exponent is 2. And the base is 10. The exponent is 2, making it 10 to the power of 2.
$ \Rightarrow {10^2} = 100$
If the exponent is positive, the solution is a number greater than the origin or base number. To find the answer, we move the decimal to the right. If the exponent is negative, the solution is a number less than the origin or base number. To find the answer, we move the decimal to the left.
Here, the exponent is 2. That is positive.
Therefore, to find the answer, we move the decimal to the right.
$ \Rightarrow {10^2} \times 0.23 = 23$

Note: For scientific notation, we need to round up the number from the standard form.
Rounding the numbers:
• If the number following the number we want to round is 6 or greater then round up.
• If the number following the number we want to round is 4 or less do not round up.
• If the number following the number we want to round is 5 and there is any number following the 5 then round up.
• If the number following the number we want to round is 5 with no number following it fall back on the “odd-even rule”. That is do not round up even numbers (0 is an even number), and round up odd numbers.