HW Scientific Notation 2023

Write the number 0.0000067 in scientific notation.

Mathematical Equivalence

ON

Answer explanation

1 number in front of the decimal ( between the 6 and 7.)

2) Small number-negative exponent.

Write the number 0.00007 in scientific notation.

Mathematical Equivalence

ON

Answer explanation

1) Small number

2) One number in front of decimal

(decimal will move BEHIND the 7, but it is unnecessary to write the decimal at the end of a number).

Write the number 71,200,000,000 in scientific notation

Mathematical Equivalence

ON

Answer explanation

1) Large number-positive exponent.

2) One number in front of the decimal point.

(between the 7 and 1).

Mathematical Equivalence

ON

Answer explanation

Exponent is negative to move the decimal 6 times to make a small number.

Mathematical Equivalence

ON

Answer explanation

Exponent is negative, move the decimal 5 times to make a small number.

Mathematical Equivalence

ON

Answer explanation

1) Exponent is positive

2) move the decimal 7 times to make a large number.

(hint: place the decimal BEHIND the 5 to start.)

Ty used a microscope to measure the diameter of a pin. He found that the diameter of the pin was 0.00062 meter.

How is this number written in scientific notation?

Mathematical Equivalence

ON

Answer explanation

1) Small number-negative exponent.

2) One digit in front of the decimal (between the 6 & 2).

Mathematical Equivalence

ON

Answer explanation

Negative exponent-move the decimal 7 times to make a small number.

Jamie used a microscope to measure the diameter of a hair. She found that the diameter of the hair was 0.000072

meter. How is this number written in scientific notation?

Mathematical Equivalence

ON

Answer explanation

1) Small number so negative exponent.

2) One number in front of the decimal. (decimal goes between the 7 and 2)

Mathematical Equivalence

ON

Answer explanation

1) Positive exponent

2) Move the decimal 8 times to make a large number.