High School

A scientist measured three grains of sand to be 0.012 grams each and another grain of sand to be 0.009 grams. What is the mass of all four grains of sand?

A. 0.021 grams
B. 0.036 grams
C. 0.039 grams
D. 0.045 grams

Answer :

The correct option is c. 0.045gram. The correct total mass of the four grains of sand, based on the given measurements, is indeed 0.045 gram.

To find the total mass of all four grains of sand, we need to add the mass of each grain together. According to the problem, three grains of sand each have a mass of 0.012 grams, and the fourth grain of sand has a mass of 0.009 grams.

First, we calculate the combined mass of the three identical grains of sand:

[tex]\[ 3 \times 0.012 \text{ gram} = 0.036 \text{ gram} \][/tex]

Next, we add the mass of the fourth grain of sand to this total:

[tex]\[ 0.036 \text{ gram} + 0.009 \text{ gram} = 0.045 \text{ gram} \][/tex]

However, upon reviewing the provided options, we notice that none of the options match our calculated total of 0.045 grams. It appears there may be an error in the provided options or in the calculation presented above.

Let's re-evaluate the calculation:

[tex]\[ 3 \times 0.012 \text{ gram} = 0.036 \text{ gram} \][/tex]

[tex]\[ 0.036 \text{ gram} + 0.009 \text{ gram} = 0.045 \text{ gram} \][/tex]

The mass of all four grains of sand is Option(D) 0.045 gram.

How to Add Decimals?

  • Comparable to the regular addition of whole numbers, adding decimals is simple.
  • We are aware that a decimal number consists of a whole number portion and a fractional portion that are separated by a decimal point.
  • The guidelines for adding decimal numbers remain unchanged, notwithstanding this. For this, we must position the decimal numbers in order of place value, one below the other, while maintaining the decimal point, and then add the numbers.

Given:

Mass of three grains of sand each = 0.012 gram

Mass of the fourth grain of sand = 0.009 gram.

Total mass of all four grains of sand = ( 3 × 0.012) + 0.009

= 0.036 + 0.009

= 0.045 gram

To learn more about the Addition of Decimals visit:

https://brainly.com/question/28222269

#SPJ9