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4-7. copy each expression and simplify it. show all of your steps. home…

Question

4-7. copy each expression and simplify it. show all of your steps. homework help
a. 1.234 + 0.58 + 5.316
b. 6.1 - 1.536
c. 4.8(0.6)

Explanation:

Response
Part a: \( 1.284 + 0.58 + 5.316 \)

Step1: Use commutative property

Rearrange the terms to group \( 1.284 \) and \( 5.316 \) for easier addition: \( (1.284 + 5.316) + 0.58 \)

Step2: Add \( 1.284 \) and \( 5.316 \)

\( 1.284 + 5.316 = 6.6 \)

Step3: Add the result to \( 0.58 \)

\( 6.6 + 0.58 = 7.18 \)

Step1: Align decimal points

Write \( 6.1 \) as \( 6.100 \) to have the same number of decimal places: \( 6.100 - 1.536 \)

Step2: Subtract the numbers

\( 6.100 - 1.536 = 4.564 \)

Step1: Multiply the two numbers

Multiply \( 4.8 \) and \( 0.6 \): \( 4.8 \times 0.6 = 2.88 \)

Answer:

\( 7.18 \)

Part b: \( 6.1 - 1.536 \)