Rounding With Significant Figures

1)

Round 1.88 up to 1 significant figure.

1.9

1.8

1.89

1.98

2

not-available-via-ai

Explanation

not-available-via-ai

2)

Round 20.34562 up to 3 significant figures.

20.3

20

20.35

21

20.34

To round a number to a certain number of significant figures, we start counting from the leftmost non-zero digit and stop at the desired number of significant figures. In this case, we want to round to 3 significant figures. The leftmost non-zero digit in 20.34562 is 2. Counting from there, we include the digits 0, 3, and 4, which gives us 20.3.

Explanation

To round a number to a certain number of significant figures, we start counting from the leftmost non-zero digit and stop at the desired number of significant figures. In this case, we want to round to 3 significant figures. The leftmost non-zero digit in 20.34562 is 2. Counting from there, we include the digits 0, 3, and 4, which gives us 20.3.

3)

Round 200.388 up to 5 significant figures.

200

200.39

201

200.3

200.38

To round a number to a certain number of significant figures, we start from the leftmost non-zero digit and count the digits to the right until we reach the desired number of significant figures. In this case, we want 5 significant figures. The leftmost non-zero digit in 200.388 is 2. We count 5 digits to the right, which gives us 200.39. Therefore, the correct answer is 200.39.

Explanation

To round a number to a certain number of significant figures, we start from the leftmost non-zero digit and count the digits to the right until we reach the desired number of significant figures. In this case, we want 5 significant figures. The leftmost non-zero digit in 200.388 is 2. We count 5 digits to the right, which gives us 200.39. Therefore, the correct answer is 200.39.

4)

Round 34.269 up to 1 significant figure.

34.2

30

34.3

34.279

34

Rounding to 1 significant figure means keeping only the first non-zero digit and discarding all other digits. In this case, the first non-zero digit is 3. Since it is less than 5, we round down and the answer is 30.

Explanation

Rounding to 1 significant figure means keeping only the first non-zero digit and discarding all other digits. In this case, the first non-zero digit is 3. Since it is less than 5, we round down and the answer is 30.

5)

Round 17.07283 up to 3 significant figures.

17

17.2

17.072

17.07

17.1

The number 17.07283 has 5 significant figures. To round it to 3 significant figures, we start from the leftmost significant figure and count 3 digits. Since the digit after the third significant figure (7) is greater than or equal to 5, we round up the last significant figure (0) by adding 1. Therefore, the rounded number is 17.1.

Explanation

The number 17.07283 has 5 significant figures. To round it to 3 significant figures, we start from the leftmost significant figure and count 3 digits. Since the digit after the third significant figure (7) is greater than or equal to 5, we round up the last significant figure (0) by adding 1. Therefore, the rounded number is 17.1.