# The Number of Consecutive Zeros in 2 3 × 3 4 × 5 4 × 7 is - Mathematics

MCQ

The number of consecutive zeros in $2^3 \times 3^4 \times 5^4 \times 7$ is

• 3

• 2

• 4

• 5

#### Solution

We are given the following expression and asked to find out the number of consecutive zeros

$2^3 \times 3^4 \times 5^4 \times 7$

We basically, will focus on the powers of 2 and 5 because the multiplication of these two number gives one zero. So

$2^3 \times 3^4 \times 5^4 \times 7 = 2^3 \times 5^4 \times 3^4 \times 7$

$= 2^3 \times 5^3 \times 5 \times 3^4 \times 7$

$= \left( 2 \times 5 \right)^3 \times 5 \times 3^4 \times 7$

$= {10}^3 \times 5 \times 3^4 \times 7$

$= 5 \times 81 \times 7 \times 1000$

$= 2835000$

Therefore the consecutive zeros at the last is 3

Concept: Introduction of Real Number
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Exercise 1.7 | Q 20 | Page 41
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