Question

welcome to the game show: \which one is it?\ complete each task t
multiples of 100
300 6,400
one of these numbers is a multiple of 100. which one is it?
6,400
complete the equation.
6,400 = ? × 100

Explanation:

Step1: Recall the definition of a multiple of 100

A number is a multiple of 100 if it can be written as \( n \times 100 \) where \( n \) is an integer, or equivalently, if the last two digits are 00.

• For 300: Wait, no, wait the first part—wait, the numbers given are 300 and 6400? Wait, the first question: "One of these numbers is a multiple of 100. Which one is it?" Wait, but 300 is \( 3 \times 100 \), 6400 is \( 64 \times 100 \). Wait, maybe the original problem had a typo? Wait, no, looking at the image: the first number is 300, the second is 6,400 (6400). Wait, maybe the first part is a trick? Wait, no, the second part: "Complete the equation: \( 6,400 = ? \times 100 \)". Let's solve that.

Step2: Solve for the unknown in \( 6400 = x \times 100 \)

To find \( x \), we divide both sides by 100: \( x=\frac{6400}{100} \).
Simplifying, \( \frac{6400}{100}=64 \) (since dividing by 100 moves the decimal two places left, 6400 → 64.00).

For the first part, both 300 and 6400 are multiples of 100 (300 = 3×100, 6400=64×100). But the option given is 6,400 (the boxed one), so maybe that's the intended answer. Then for the equation, the missing number is 64.

Answer:

For the equation \( 6,400 = ? \times 100 \), the answer is 64. For the multiple of 100, 6,400 (and 300, but the boxed one is 6,400).