Video: Using the Order of Operations to Evaluate Numerical Expressions Involving Decimals

Determine the value of 2 × 1.3 + 1.5 using the order of operations.

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Video Transcript

Determine the value of two multiplied by 1.3 plus 1.5 using the order of operations.

One way of remembering the order of operations is using the acronym PEMDAS. The letters stand for parentheses, exponents, multiplication, division, addition, and subtraction. Whilst we perform the operations in order from top to bottom, it is important to remember that multiplication and division, along with addition and subtraction, can be done in either order. If we have more than one of these pairs of signs, we work from left to right.

In this question, we have no parentheses or brackets and no exponents or indices. This means that our first step is multiplication. We must multiply two by 1.3. Multiplying by two is the same as doubling a number. So two multiplied by 1.3 is 2.6. For a more complicated calculation, we could’ve removed the decimal point and then put it back in afterwards. There are no more multiplication signs and there is no division sign, so our next step is to add 2.6 and 1.5. Whilst it doesn’t matter with addition which order we write the numbers, as a general rule, it is important to keep the numbers in the same order. 2.6 plus 1.5 is equal to 4.1. We could work this out using the column method if required. The value of two multiplied by 1.3 plus 1.5 is 4.1.

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