COMPARING NUMBERS WRITTEN IN SCIENTIFIC NOTATION WORKSHEET

About "Comparing numbers written in scientific notation worksheet"

Comparing numbers written in scientific notation worksheet :

Here we are going to see some practice questions on comparing numbers written in scientific notation.

There are 2 ways to compare numbers that are in scientific notation:

Compare the exponents.
If one exponent is larger than the other than that scientific notation is bigger
If the exponents are the same, compare the decimals.

Comparing numbers written in scientific notation worksheet - Questions

(1) Compare 5.62 x 10⁶ and 7.39 x 10⁵

(2) Compare and 4.29 x 10⁻³ and 5.38 x 10⁻³

(3) Compare and 6.0515 x 10⁶ and 6.12 x 10⁵

(4) Compare and 4.67 x 10⁻³ and 3.0967 x 10⁻³

(5) Compare and 8.640 x 10⁸ and 8.64 x 10⁸

(6) Compare and 5.2266 x 10⁻⁷ and 6.025 x 10²

(7) Compare and 6.93 x 10⁻⁵ and 6.93 x 10⁵

(8) Compare and 7.35 x 10⁻⁶ and 7.305 x 10⁻⁶

Comparing numbers written in scientific notation worksheet - Solution

Question 1 :

Compare 5.62 x 10⁶ and 7.39 x 10⁵

Solution :

Compare the exponents: 6 and 5.

Since , the number with 6 as its exponent is greater than the number with 5 as its exponent.

Hence, 5.62 x 10⁶ > 7.39 x 10⁵

Question 2 :

Compare and 4.29 x 10⁻³ and 5.38 x 10⁻³

Solution :

Since the exponents are the same, we compare the decimals:

4.29 and 5.38

Since 4.29 < 5.38 the number with 5.38 as the decimal is greater than the number with 4.29 as its decimal.

Hence 4.29 x 10⁻³ < 5.38 x 10⁻³

Question 3 :

Compare and 6.0515 x 10⁶ and 6.12 x 10⁵

Solution :

Compare the exponents: 6 and 5.

Since , the number with 6 as its exponent is greater than the number with 5 as its exponent.

Hence, 6.0515 x 10⁶ > 6.12 x 10⁵

Question 4 :

Compare and 4.67 x 10⁻³ and 3.0967 x 10⁻³

Solution :

Since the exponents are the same, we compare the decimals:

4.67 and 3.0967

Since 4.67 < 3.0967 the number with 4.67 as the decimal is greater than the number with 3.0967 as its decimal.

Hence 4.67 x 10⁻³ > 3.0967 x 10⁻³

Question 5 :

Compare and 8.640 x 10⁸ and 8.64 x 10⁸

Solution :

Since the exponents are the same, we compare the decimals:

8.640 and 8.64

By comparing the above decimals, we can decide that they are same.

Hence, 8.640 x 10⁸ = 8.64 x 10⁸

Question 6 :

Compare and 5.2266 x 10⁻⁷ and 6.025 x 10²

Solution :

Compare the exponents: -7 and 2.

Always positive number is greater than negative number.

Since , the number with 2 as its exponent is greater than the number with -7 as its exponent.

Hence, 6.025 x 10² > 5.2266 x 10⁻⁷

Question 7 :

Compare and 6.93 x 10⁻⁵ and 6.93 x 10⁵

Solution :

Compare the exponents: -5 and 5.

Always positive number is greater than negative number.

Since , the number with 5 as its exponent is greater than the number with -5 as its exponent.

Hence, 6.93 x 10⁻⁵ < 6.93 x 10⁵

Question 8 :

Compare and 7.35 x 10⁻⁶ and 7.305 x 10⁻⁶

Solution :

Since the exponents are the same, we compare the decimals:

7.35 and 7.305

Since 7.35 > 7.305 the number with 7.35 as the decimal is greater than the number with 7.305 as its decimal.

Hence 7.35 x 10⁻⁶ > 7.305 x 10⁻⁶

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