Math

QuestionCalculate the following with correct significant figures:
1. 34.567+0.234.567 + 0.2
2. 3.0÷23.0 \div 2
3. 34.2×0.0334.2 \times 0.03
4. 4822.45482 - 2.45

Studdy Solution

STEP 1

Assumptions1. All measurements are in the same unit. . The operations are addition, subtraction, multiplication, and division.
3. The number of significant figures should be considered in the final answer.

STEP 2

First, we will solve the first problem. The operation is addition.
34.567inches+0.2inches34.567\, inches +0.2\, inches

STEP 3

Perform the addition operation.
34.567inches+0.2inches=34.767inches34.567\, inches +0.2\, inches =34.767\, inches

STEP 4

Next, we will solve the second problem. The operation is division. Note that we need to convert minutes to seconds before performing the operation. There are60 seconds in a minute.
3.0minutes÷2seconds=3.0minutes×60seconds/minute÷2seconds3.0\, minutes \div2\, seconds =3.0\, minutes \times60\, seconds/minute \div2\, seconds

STEP 5

Perform the multiplication and division operations.
3.0minutes×60seconds/minute÷2seconds=903.0\, minutes \times60\, seconds/minute \div2\, seconds =90

STEP 6

Next, we will solve the third problem. The operation is multiplication.
34.2inches×0.03inches34.2\, inches \times0.03\, inches

STEP 7

Perform the multiplication operation.
34.2inches×0.03inches=1.026inches234.2\, inches \times0.03\, inches =1.026\, inches^2

STEP 8

Next, we will solve the fourth problem. The operation is subtraction.
482pounds2.45pounds482\, pounds -2.45\, pounds

STEP 9

Perform the subtraction operation.
482pounds2.45pounds=479.55pounds482\, pounds -2.45\, pounds =479.55\, poundsThe answers to the problems are6.34.767 inches7.9011..026 inches^212.479.55 pounds

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