Math / Numbers & Operations

Question4. In 2021, the approximate population of India was $1.4 \times 10$ people. Spain's population in 2021 was about 4 how many times greater was India's population than Spain's population 0.3

Studdy Solution

STEP 1

1. India's population in 2021 is approximately $1.4 \times 10^9$ people.
2. Spain's population in 2021 is approximately $4.7 \times 10^7$ people.
3. We need to calculate how many times greater India's population is compared to Spain's population.

STEP 2

1. Define the populations using scientific notation.
2. Set up the division to find the ratio.
3. Simplify the expression to find the answer.

STEP 3

Define India's population as $P_{\text{India}} = 1.4 \times 10^9$ .
Define Spain's population as $P_{\text{Spain}} = 4.7 \times 10^7$ .

STEP 4

Set up the division to find how many times greater India's population is than Spain's:
$\text{Ratio} = \frac{P_{\text{India}}}{P_{\text{Spain}}} = \frac{1.4 \times 10^9}{4.7 \times 10^7}$

STEP 5

Simplify the expression:
First, divide the coefficients:
$\frac{1.4}{4.7} \approx 0.2979$
Next, divide the powers of ten:
$\frac{10^9}{10^7} = 10^{9-7} = 10^2$
Combine the results:
$\text{Ratio} \approx 0.2979 \times 10^2 = 29.79$
India's population was approximately $\boxed{29.79}$ times greater than Spain's population in 2021.

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