Grade 7 Measurement

1. - A method of writing very small or very large numbers in terms
of decimal number greater than 1 but less than 10 multiplied by ten.

2. • Consists of the coefficient term, the base, and the exponent.
x
– coefficient term (number greater than 1 but less than 10)
– base (always 10)
– exponent (can be positive or negative)

4. To see an exponent that’s positive, write 312,000,000,000 in scientific
notation:
1. Move the decimal place to the left to create a new number from 1 up to
10. That is:
312,000,000,000 – 3.12
2. Determine the exponent, which is the number of times you moved the
decimal.
312,000,000,000 – 1011

5. 3. Put the number in the correct form for scientific notation.
a x 10n
312,000,000,000 = 3.12 x 1011

6. To see an exponent that’s negative, write .00000031 in scientific notation.
1. Move the decimal place to the right to create a new number from 1 up
to 10.
.00000031 = 3.1
2. Determine the exponent, which is the number of times you moved the
decimal.
.00000031 = 10-7

7. 3. Put the number in the correct form for scientific notation.
a x 10n
.00000031 = 3.1 x 10-7

8. :
1. Counting numbers for exponent from left to right will result into a
positive exponent.
2. Counting numbers for exponent from right to left will result into a
negative exponent.

9. Change the following numbers into a scientific notation.
1. 76300 8. 2,000,000,000
2. 2,560,000 9. 796,000
3. 0.000066 10. 0.0000763
4. 0.005
5. 0.0000643
6. 125,000
7. 0.00125