Question

What does 1.23x3.456 equal? 0 4.250 O 4.3 04.25 4.251

Answer 1

Answer:

4.25

Explanation:

First you need to find the number of significant figures in each quantity:

1.23 has three significant figures

3.456 has four significant figures

When you are multiplying quantities, your result must have the same number of significant figures that the smallest value, in this case three significant figures, so:

$1.23*3.456=4.25088$

And you need to report your answer with three significant figures, so you should round the result:

4.25088 ≅ 4.25

Answer 2

Answer: The result of the given problem is 4.25

Explanation:

Significant figures are defined as the figures present in a number that expresses the magnitude of a quantity to a specific degree of accuracy.

Rules for the identification of significant figures:

• Digits from 1 to 9 are always significant and have infinite number of significant figures.
• All non-zero numbers are always significant. For example: 664, 6.64 and 66.4 all have three significant figures.
• All zeros between the integers are always significant. For example: 5018, 5.018 and 50.18 all have four significant figures.
• All zeros preceding the first integers are never significant. For example: 0.00058 has two significant figures.
• All zeros after the decimal point are always significant. For example: 2.500, 25.00 and 250.0 all have four significant figures.
• All zeroes used solely for spacing the decimal point are not significant. For example: 10000 has one significant figure.

We are given:

$1.23\times 3.456$

The mathematical operation used in the above expression is multiplication

Rule applied for multiplication and division is:

Number of significant digits in the result is based on the least precise number in the given numbers.

$1.23\times 3.456=4.25088$

As, the least precise number in the given numbers are 3.

Hence, the result of the given problem is 4.25