Question

By rounding to 1 significant figure , estimate 40.73 x 1.06 Anyone know?

Answer 1

ANSWER: 40

EXPLANATION:

1) 40.73 to 1 significant figure = 40.

2) 1.06 to 1 significant figure = 1.

3) Therefore, we just multiply 40 by 1, which equals 40.

FURTHER EXPLANATION (IF NEEDED):

With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.

With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.

EXAMPLES (IF NEEDED):

Rounding to 2 significant figures:

• 40.73 = 42
• 1.06 = 1.1

Rounding to 3 significant figures:

• 40.73 = 40.7
• 1.06 = 1.06 (because it's already in 3 significant figures)

Rounding to 4 significant figures:

• 40.73 = 40.73 (already in 4 significant figures)
• 1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)

E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.