Miriam thinks of a whole number.
Rounded to the nearest 10, her number is 750 . Rounded to 1 significant figure, her number is 700 .
a) What is the smallest possible number Miriam could be thinking of? b) What is the largest possible number Miriam could be thinking of?

Answer

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Answer

\( \boxed{Smallest: 745, Largest: 754} \)

Steps

Step 1 ：Find the smallest number that rounds to 750 when rounded to the nearest 10 and rounds to 700 when rounded to 1 significant figure: \( 745 \)

Step 2 ：Find the largest number that rounds to 750 when rounded to the nearest 10 and rounds to 700 when rounded to 1 significant figure: \( 754 \)

Step 3 ：\( \boxed{Smallest: 745, Largest: 754} \)