How to Solve 3/10 + 0.5 and Give the Answer as a Decimal - Math Solver AI

$Math Problem$

Mathematics Grade 5 of Primary School

Question Content

Work out 3/10 + 0.5. Give your answer as a decimal.

Correct Answer

0.8

Detailed Solution Steps

1
Step 1: Convert the fraction 3/10 to a decimal. Since 3 divided by 10 is 0.3, 3/10 = 0.3.
2
Step 2: Add the two decimals together: 0.3 + 0.5 = 0.8.
3
Step 3: Confirm the result is a decimal as required by the question.

Knowledge Points Involved

1

Fraction to Decimal Conversion

This is the process of converting a fraction (a number expressed as a numerator over a denominator) into an equivalent decimal. For fractions with denominators that are powers of 10, you can directly move the decimal point of the numerator to the left by the number of zeros in the denominator. For example, 3/10 has a denominator of 10 (1 zero), so 3 becomes 0.3. It is used when performing arithmetic operations between fractions and decimals.

2

Decimal Addition

This is the arithmetic operation of adding two or more decimal numbers. The key rule is to align the decimal points of the numbers, then add the digits in each place value column from right to left, carrying over as needed. For example, 0.3 + 0.5 aligns the decimal points, adding 3 and 5 in the tenths place to get 8, resulting in 0.8. It is a basic operation for working with decimal values in daily calculations and math problems.

3

Following Problem Requirements for Answer Format

This refers to adhering to the specific format specified in a math problem for the final answer. In this case, the question explicitly asks for the answer as a decimal, so even if the result could be written as a fraction, we must present it in decimal form. It is important for ensuring answers meet the problem's criteria and avoiding unnecessary errors.

Loading solution...